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Atlas › Integer Profiles › Node 36,920,376

36,920,376

23 × 32 × 37 × 13859
Abundant Even Composite

36,920,376 factors as 2^3 × 3^2 × 37 × 13859. Its 48 positive divisors give a proper-divisor sum of 65,782,224, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 37 × 13859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,702,600
Proper Divisor Sum 65,782,224
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36920369 ← → #36920419

Radix Representation

Decimal 36920376
Binary 10001100110101110000111000 (26 bits)
Octal 0o214656070
Hexadecimal 0x2335C38

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1,332 2,664 13,859 27,718 41,577 55,436 83,154 110,872 124,731 166,308 249,462 332,616 498,924 512,783 997,848 1,025,566 1,538,349 2,051,132 3,076,698 4,102,264 4,615,047 6,153,396 9,230,094 12,306,792 18,460,188 36,920,376

Collatz Trajectory (77 steps to reach 1)

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

36,920,376 18,460,188 9,230,094 4,615,047 13,845,142 6,922,571 20,767,714 10,383,857 31,151,572 15,575,786 7,787,893 23,363,680 11,681,840 5,840,920 2,920,460 1,460,230 730,115 2,190,346 1,095,173 3,285,520 1,642,760 821,380 410,690 205,345 616,036 308,018 154,009 462,028 231,014 115,507 346,522 173,261 519,784 259,892 129,946 64,973 194,920 97,460 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181

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