32,272,072

2³ × 7 × 576287

32,272,072 factors as 2^3 × 7 × 576287. Its 16 positive divisors give a proper-divisor sum of 36,882,488, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 576287

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,154,560

Proper Divisor Sum 36,882,488

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #32272067 ← → #32272073

Radix Representation

Decimal	32272072
Binary	1111011000110111011001000 (25 bits)
Octal	0o173067310
Hexadecimal	0x1EC6EC8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 576,287 1,152,574 2,305,148 4,034,009 4,610,296 8,068,018 16,136,036 32,272,072

Collatz Trajectory (95 steps to reach 1)

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

32,272,072 16,136,036 8,068,018 4,034,009 12,102,028 6,051,014 3,025,507 9,076,522 4,538,261 13,614,784 6,807,392 3,403,696 1,701,848 850,924 425,462 212,731 638,194 319,097 957,292 478,646 239,323 717,970 358,985 1,076,956 538,478 269,239 807,718 403,859 1,211,578 605,789 1,817,368 908,684 454,342 227,171 681,514 340,757 1,022,272 511,136 255,568 127,784 63,892 31,946 15,973 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158

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