37,825,252

2² × 53 × 67 × 2663

37,825,252 factors as 2^2 × 53 × 67 × 2663. Its 24 positive divisors give a proper-divisor sum of 30,650,204, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 67 × 2663

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 68,475,456

Proper Divisor Sum 30,650,204

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37825243 ← → #37825253

Radix Representation

Decimal	37825252
Binary	10010000010010101011100100 (26 bits)
Octal	0o220225344
Hexadecimal	0x2412AE4

Divisor Catalog (24)

Collatz Trajectory (134 steps to reach 1)

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

37,825,252 18,912,626 9,456,313 28,368,940 14,184,470 7,092,235 21,276,706 10,638,353 31,915,060 15,957,530 7,978,765 23,936,296 11,968,148 5,984,074 2,992,037 8,976,112 4,488,056 2,244,028 1,122,014 561,007 1,683,022 841,511 2,524,534 1,262,267 3,786,802 1,893,401 5,680,204 2,840,102 1,420,051 4,260,154 2,130,077 6,390,232 3,195,116 1,597,558 798,779 2,396,338 1,198,169 3,594,508 1,797,254 898,627 2,695,882 1,347,941 4,043,824 2,021,912 1,010,956 505,478 252,739 758,218 379,109 1,137,328 568,664 284,332 142,166 71,083 213,250 106,625 319,876 159,938 79,969 239,908

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