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Atlas › Integer Profiles › Node 36,923,490

36,923,490

2 × 32 × 5 × 17 × 24133
Abundant Even Composite

36,923,490 factors as 2 × 3^2 × 5 × 17 × 24133. Its 48 positive divisors give a proper-divisor sum of 64,728,918, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 24133
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,652,408
Proper Divisor Sum 64,728,918
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36923489 ← → #36923527

Radix Representation

Decimal 36923490
Binary 10001100110110100001100010 (26 bits)
Octal 0o214664142
Hexadecimal 0x2336862

Divisor Catalog (48)

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1,530 24,133 48,266 72,399 120,665 144,798 217,197 241,330 361,995 410,261 434,394 723,990 820,522 1,085,985 1,230,783 2,051,305 2,171,970 2,461,566 3,692,349 4,102,610 6,153,915 7,384,698 12,307,830 18,461,745 36,923,490

Collatz Trajectory (103 steps to reach 1)

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

36,923,490 18,461,745 55,385,236 27,692,618 13,846,309 41,538,928 20,769,464 10,384,732 5,192,366 2,596,183 7,788,550 3,894,275 11,682,826 5,841,413 17,524,240 8,762,120 4,381,060 2,190,530 1,095,265 3,285,796 1,642,898 821,449 2,464,348 1,232,174 616,087 1,848,262 924,131 2,772,394 1,386,197 4,158,592 2,079,296 1,039,648 519,824 259,912 129,956 64,978 32,489 97,468 48,734 24,367 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506

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