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27528
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Number
27528
Date
August 15, 2024
Number of Factors
Four or More Factors
Factorisation
2^3 * 3 * 31 * 37
Comments
27528 is a number n such that the sum of digits cubed of n - 1 and n + 1 is prime (here 827 and 1213) but sum of digits cubed of n is not. See Bespoken for Sequences entry.
27528 is a number whose sum of prime factors (counted with multiplicity) is a number (77) whose digits are identical. See Bespoken for Sequences entry.
27528 generates a probable infinite, aperiodic aliquot sequence, see blog post Infinite, Aperiodic Aliquot Sequences on 15th August 2024. There is no termination even after 2338 steps (checked using this website).
27528 is an interprime number as it sits between two primes: 27527 and 27529.
27528 is a Harshad number since it is a multiple of its sum of digits (24).
27528 is a junction number because it is equal to n+sod(n) for n = 27498 and 27507.
27528 is a practical, abundant, pseudoperfect and Zumkeller number.
27528 can be rendered as a digit equation as follows: