36,965,701

17² × 37 × 3457

36,965,701 factors as 17^2 × 37 × 3457. Its 12 positive divisors give a proper-divisor sum of 3,375,327, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 17^2 × 37 × 3457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 40,341,028

Proper Divisor Sum 3,375,327

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #36965639 ← → #36965717

Radix Representation

Decimal	36965701
Binary	10001101000000110101000101 (26 bits)
Octal	0o215006505
Hexadecimal	0x2340D45

Divisor Catalog (12)

1 17 37 289 629 3,457 10,693 58,769 127,909 999,073 2,174,453 36,965,701

Collatz Trajectory (165 steps to reach 1)

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

36,965,701 110,897,104 55,448,552 27,724,276 13,862,138 6,931,069 20,793,208 10,396,604 5,198,302 2,599,151 7,797,454 3,898,727 11,696,182 5,848,091 17,544,274 8,772,137 26,316,412 13,158,206 6,579,103 19,737,310 9,868,655 29,605,966 14,802,983 44,408,950 22,204,475 66,613,426 33,306,713 99,920,140 49,960,070 24,980,035 74,940,106 37,470,053 112,410,160 56,205,080 28,102,540 14,051,270 7,025,635 21,076,906 10,538,453 31,615,360 15,807,680 7,903,840 3,951,920 1,975,960 987,980 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454

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