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Atlas › Integer Profiles › Node 36,979,144

36,979,144

23 × 89 × 167 × 311
Deficient Even Composite

36,979,144 factors as 2^3 × 89 × 167 × 311. Its 32 positive divisors give a proper-divisor sum of 33,782,456, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 89 × 167 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,761,600
Proper Divisor Sum 33,782,456
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36979141 ← → #36979181

Radix Representation

Decimal 36979144
Binary 10001101000100000111001000 (26 bits)
Octal 0o215040710
Hexadecimal 0x23441C8

Divisor Catalog (32)

1 2 4 8 89 167 178 311 334 356 622 668 712 1,244 1,336 2,488 14,863 27,679 29,726 51,937 55,358 59,452 103,874 110,716 118,904 207,748 221,432 415,496 4,622,393 9,244,786 18,489,572 36,979,144

Collatz Trajectory (103 steps to reach 1)

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

36,979,144 18,489,572 9,244,786 4,622,393 13,867,180 6,933,590 3,466,795 10,400,386 5,200,193 15,600,580 7,800,290 3,900,145 11,700,436 5,850,218 2,925,109 8,775,328 4,387,664 2,193,832 1,096,916 548,458 274,229 822,688 411,344 205,672 102,836 51,418 25,709 77,128 38,564 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517

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