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Atlas › Integer Profiles › Node 36,924,708

36,924,708

22 × 3 × 83 × 131 × 283
Abundant Even Composite

36,924,708 factors as 2^2 × 3 × 83 × 131 × 283. Its 48 positive divisors give a proper-divisor sum of 51,247,068, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 131 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,171,776
Proper Divisor Sum 51,247,068
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36924707 ← → #36924709

Radix Representation

Decimal 36924708
Binary 10001100110110110100100100 (26 bits)
Octal 0o214666444
Hexadecimal 0x2336D24

Divisor Catalog (48)

1 2 3 4 6 12 83 131 166 249 262 283 332 393 498 524 566 786 849 996 1,132 1,572 1,698 3,396 10,873 21,746 23,489 32,619 37,073 43,492 46,978 65,238 70,467 74,146 93,956 111,219 130,476 140,934 148,292 222,438 281,868 444,876 3,077,059 6,154,118 9,231,177 12,308,236 18,462,354 36,924,708

Collatz Trajectory (165 steps to reach 1)

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

36,924,708 18,462,354 9,231,177 27,693,532 13,846,766 6,923,383 20,770,150 10,385,075 31,155,226 15,577,613 46,732,840 23,366,420 11,683,210 5,841,605 17,524,816 8,762,408 4,381,204 2,190,602 1,095,301 3,285,904 1,642,952 821,476 410,738 205,369 616,108 308,054 154,027 462,082 231,041 693,124 346,562 173,281 519,844 259,922 129,961 389,884 194,942 97,471 292,414 146,207 438,622 219,311 657,934 328,967 986,902 493,451 1,480,354 740,177 2,220,532 1,110,266 555,133 1,665,400 832,700 416,350 208,175 624,526 312,263 936,790 468,395 1,405,186

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