36,123,772

2² × 9030943

36,123,772 factors as 2^2 × 9030943. Its 6 positive divisors give a proper-divisor sum of 27,092,836, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 9030943

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 63,216,608

Proper Divisor Sum 27,092,836

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #36123767 ← → #36123779

Radix Representation

Decimal	36123772
Binary	10001001110011010001111100 (26 bits)
Octal	0o211632174
Hexadecimal	0x227347C

Divisor Catalog (6)

1 2 4 9,030,943 18,061,886 36,123,772

Collatz Trajectory (165 steps to reach 1)

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

36,123,772 18,061,886 9,030,943 27,092,830 13,546,415 40,639,246 20,319,623 60,958,870 30,479,435 91,438,306 45,719,153 137,157,460 68,578,730 34,289,365 102,868,096 51,434,048 25,717,024 12,858,512 6,429,256 3,214,628 1,607,314 803,657 2,410,972 1,205,486 602,743 1,808,230 904,115 2,712,346 1,356,173 4,068,520 2,034,260 1,017,130 508,565 1,525,696 762,848 381,424 190,712 95,356 47,678 23,839 71,518 35,759 107,278 53,639 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365

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