37,910,672

2⁴ × 823 × 2879

37,910,672 factors as 2^4 × 823 × 2879. Its 20 positive divisors give a proper-divisor sum of 35,656,048, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 823 × 2879

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 73,566,720

Proper Divisor Sum 35,656,048

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #37910671 ← → #37910683

Radix Representation

Decimal	37910672
Binary	10010000100111100010010000 (26 bits)
Octal	0o220474220
Hexadecimal	0x2427890

Divisor Catalog (20)

Collatz Trajectory (126 steps to reach 1)

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

37,910,672 18,955,336 9,477,668 4,738,834 2,369,417 7,108,252 3,554,126 1,777,063 5,331,190 2,665,595 7,996,786 3,998,393 11,995,180 5,997,590 2,998,795 8,996,386 4,498,193 13,494,580 6,747,290 3,373,645 10,120,936 5,060,468 2,530,234 1,265,117 3,795,352 1,897,676 948,838 474,419 1,423,258 711,629 2,134,888 1,067,444 533,722 266,861 800,584 400,292 200,146 100,073 300,220 150,110 75,055 225,166 112,583 337,750 168,875 506,626 253,313 759,940 379,970 189,985 569,956 284,978 142,489 427,468 213,734 106,867 320,602 160,301 480,904 240,452

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