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Atlas › Integer Profiles › Node 37,123,775

37,123,775

52 × 13 × 103 × 1109
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 13 × 103 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 50,100,960
Proper Divisor Sum 12,977,185
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #37123763 ← → #37123781

Radix Representation

Decimal 37123775
Binary 10001101100111011010111111 (26 bits)
Octal 0o215473277
Hexadecimal 0x23676BF

Divisor Catalog (24)

1 5 13 25 65 103 325 515 1,109 1,339 2,575 5,545 6,695 14,417 27,725 33,475 72,085 114,227 360,425 571,135 1,484,951 2,855,675 7,424,755 37,123,775

Collatz Trajectory (227 steps to reach 1)

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

37,123,775 111,371,326 55,685,663 167,056,990 83,528,495 250,585,486 125,292,743 375,878,230 187,939,115 563,817,346 281,908,673 845,726,020 422,863,010 211,431,505 634,294,516 317,147,258 158,573,629 475,720,888 237,860,444 118,930,222 59,465,111 178,395,334 89,197,667 267,593,002 133,796,501 401,389,504 200,694,752 100,347,376 50,173,688 25,086,844 12,543,422 6,271,711 18,815,134 9,407,567 28,222,702 14,111,351 42,334,054 21,167,027 63,501,082 31,750,541 95,251,624 47,625,812 23,812,906 11,906,453 35,719,360 17,859,680 8,929,840 4,464,920 2,232,460 1,116,230 558,115 1,674,346 837,173 2,511,520 1,255,760 627,880 313,940 156,970 78,485 235,456

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