3⁵ × 5 × 31

Prime Factor Structure

Factorization String 3^5 × 5 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 69,888

Proper Divisor Sum 32,223

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #37663 ← → #37691

1 3 5 9 15 27 31 45 81 93 135 155 243 279 405 465 837 1,215 1,395 2,511 4,185 7,533 12,555 37,665

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

37,665 112,996 56,498 28,249 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

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