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Atlas › Integer Profiles › Node 37,524,976

37,524,976

24 × 937 × 2503
Deficient Even Composite

37,524,976 factors as 2^4 × 937 × 2503. Its 20 positive divisors give a proper-divisor sum of 35,286,336, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^4 × 937 × 2503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 72,811,312
Proper Divisor Sum 35,286,336
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37524953 ← → #37524979

Radix Representation

Decimal 37524976
Binary 10001111001001010111110000 (26 bits)
Octal 0o217112760
Hexadecimal 0x23C95F0

Divisor Catalog (20)

1 2 4 8 16 937 1,874 2,503 3,748 5,006 7,496 10,012 14,992 20,024 40,048 2,345,311 4,690,622 9,381,244 18,762,488 37,524,976

Collatz Trajectory (227 steps to reach 1)

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

37,524,976 18,762,488 9,381,244 4,690,622 2,345,311 7,035,934 3,517,967 10,553,902 5,276,951 15,830,854 7,915,427 23,746,282 11,873,141 35,619,424 17,809,712 8,904,856 4,452,428 2,226,214 1,113,107 3,339,322 1,669,661 5,008,984 2,504,492 1,252,246 626,123 1,878,370 939,185 2,817,556 1,408,778 704,389 2,113,168 1,056,584 528,292 264,146 132,073 396,220 198,110 99,055 297,166 148,583 445,750 222,875 668,626 334,313 1,002,940 501,470 250,735 752,206 376,103 1,128,310 564,155 1,692,466 846,233 2,538,700 1,269,350 634,675 1,904,026 952,013 2,856,040 1,428,020

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