32,731,368

2³ × 3 × 1363807

32,731,368 factors as 2^3 × 3 × 1363807. Its 16 positive divisors give a proper-divisor sum of 49,097,112, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 1363807

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 81,828,480

Proper Divisor Sum 49,097,112

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #32731367 ← → #32731393

Radix Representation

Decimal	32731368
Binary	1111100110111000011101000 (25 bits)
Octal	0o174670350
Hexadecimal	0x1F370E8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 1,363,807 2,727,614 4,091,421 5,455,228 8,182,842 10,910,456 16,365,684 32,731,368

Collatz Trajectory (108 steps to reach 1)

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

32,731,368 16,365,684 8,182,842 4,091,421 12,274,264 6,137,132 3,068,566 1,534,283 4,602,850 2,301,425 6,904,276 3,452,138 1,726,069 5,178,208 2,589,104 1,294,552 647,276 323,638 161,819 485,458 242,729 728,188 364,094 182,047 546,142 273,071 819,214 409,607 1,228,822 614,411 1,843,234 921,617 2,764,852 1,382,426 691,213 2,073,640 1,036,820 518,410 259,205 777,616 388,808 194,404 97,202 48,601 145,804 72,902 36,451 109,354 54,677 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768

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