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37,441,024

29 × 73127
Deficient Even Composite

37,441,024 factors as 2^9 × 73127. Its 20 positive divisors give a proper-divisor sum of 37,368,920, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^9 × 73127
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 74,809,944
Proper Divisor Sum 37,368,920
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #37441013 ← → #37441049

Radix Representation

Decimal 37441024
Binary 10001110110100111000000000 (26 bits)
Octal 0o216647000
Hexadecimal 0x23B4E00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 73,127 146,254 292,508 585,016 1,170,032 2,340,064 4,680,128 9,360,256 18,720,512 37,441,024

Collatz Trajectory (77 steps to reach 1)

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

37,441,024 18,720,512 9,360,256 4,680,128 2,340,064 1,170,032 585,016 292,508 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184

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