36,944,405

5 × 29 × 31 × 8219

36,944,405 factors as 5 × 29 × 31 × 8219. Its 16 positive divisors give a proper-divisor sum of 10,402,795, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 5 × 29 × 31 × 8219

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,347,200

Proper Divisor Sum 10,402,795

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #36944363 ← → #36944431

Radix Representation

Decimal	36944405
Binary	10001100111011101000010101 (26 bits)
Octal	0o214735025
Hexadecimal	0x233BA15

Divisor Catalog (16)

1 5 29 31 145 155 899 4,495 8,219 41,095 238,351 254,789 1,191,755 1,273,945 7,388,881 36,944,405

Collatz Trajectory (196 steps to reach 1)

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

36,944,405 110,833,216 55,416,608 27,708,304 13,854,152 6,927,076 3,463,538 1,731,769 5,195,308 2,597,654 1,298,827 3,896,482 1,948,241 5,844,724 2,922,362 1,461,181 4,383,544 2,191,772 1,095,886 547,943 1,643,830 821,915 2,465,746 1,232,873 3,698,620 1,849,310 924,655 2,773,966 1,386,983 4,160,950 2,080,475 6,241,426 3,120,713 9,362,140 4,681,070 2,340,535 7,021,606 3,510,803 10,532,410 5,266,205 15,798,616 7,899,308 3,949,654 1,974,827 5,924,482 2,962,241 8,886,724 4,443,362 2,221,681 6,665,044 3,332,522 1,666,261 4,998,784 2,499,392 1,249,696 624,848 312,424 156,212 78,106 39,053

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