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Atlas › Integer Profiles › Node 29,116,936

29,116,936

23 × 31 × 113 × 1039
Deficient Even Composite

29,116,936 factors as 2^3 × 31 × 113 × 1039. Its 32 positive divisors give a proper-divisor sum of 27,791,864, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 113 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,908,800
Proper Divisor Sum 27,791,864
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #29116933 ← → #29116963

Radix Representation

Decimal 29116936
Binary 1101111000100101000001000 (25 bits)
Octal 0o157045010
Hexadecimal 0x1BC4A08

Divisor Catalog (32)

1 2 4 8 31 62 113 124 226 248 452 904 1,039 2,078 3,503 4,156 7,006 8,312 14,012 28,024 32,209 64,418 117,407 128,836 234,814 257,672 469,628 939,256 3,639,617 7,279,234 14,558,468 29,116,936

Collatz Trajectory (237 steps to reach 1)

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

29,116,936 14,558,468 7,279,234 3,639,617 10,918,852 5,459,426 2,729,713 8,189,140 4,094,570 2,047,285 6,141,856 3,070,928 1,535,464 767,732 383,866 191,933 575,800 287,900 143,950 71,975 215,926 107,963 323,890 161,945 485,836 242,918 121,459 364,378 182,189 546,568 273,284 136,642 68,321 204,964 102,482 51,241 153,724 76,862 38,431 115,294 57,647 172,942 86,471 259,414 129,707 389,122 194,561 583,684 291,842 145,921 437,764 218,882 109,441 328,324 164,162 82,081 246,244 123,122 61,561 184,684

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