32,761,084

2² × 137 × 191 × 313

32,761,084 factors as 2^2 × 137 × 191 × 313. Its 24 positive divisors give a proper-divisor sum of 25,477,124, so this integer is deficient. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 2^2 × 137 × 191 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 58,238,208

Proper Divisor Sum 25,477,124

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #32761081 ← → #32761103

Radix Representation

Decimal	32761084
Binary	1111100111110010011111100 (25 bits)
Octal	0o174762374
Hexadecimal	0x1F3E4FC

Divisor Catalog (24)

Collatz Trajectory (307 steps to reach 1)

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

32,761,084 16,380,542 8,190,271 24,570,814 12,285,407 36,856,222 18,428,111 55,284,334 27,642,167 82,926,502 41,463,251 124,389,754 62,194,877 186,584,632 93,292,316 46,646,158 23,323,079 69,969,238 34,984,619 104,953,858 52,476,929 157,430,788 78,715,394 39,357,697 118,073,092 59,036,546 29,518,273 88,554,820 44,277,410 22,138,705 66,416,116 33,208,058 16,604,029 49,812,088 24,906,044 12,453,022 6,226,511 18,679,534 9,339,767 28,019,302 14,009,651 42,028,954 21,014,477 63,043,432 31,521,716 15,760,858 7,880,429 23,641,288 11,820,644 5,910,322 2,955,161 8,865,484 4,432,742 2,216,371 6,649,114 3,324,557 9,973,672 4,986,836 2,493,418 1,246,709

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