λ
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Atlas › Integer Profiles › Node 38,308,624

38,308,624

24 × 251 × 9539
Deficient Even Composite

38,308,624 factors as 2^4 × 251 × 9539. Its 20 positive divisors give a proper-divisor sum of 36,217,856, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 251 × 9539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 74,526,480
Proper Divisor Sum 36,217,856
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #38308607 ← → #38308649

Radix Representation

Decimal 38308624
Binary 10010010001000101100010000 (26 bits)
Octal 0o222105420
Hexadecimal 0x2488B10

Divisor Catalog (20)

1 2 4 8 16 251 502 1,004 2,008 4,016 9,539 19,078 38,156 76,312 152,624 2,394,289 4,788,578 9,577,156 19,154,312 38,308,624

Collatz Trajectory (196 steps to reach 1)

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

38,308,624 19,154,312 9,577,156 4,788,578 2,394,289 7,182,868 3,591,434 1,795,717 5,387,152 2,693,576 1,346,788 673,394 336,697 1,010,092 505,046 252,523 757,570 378,785 1,136,356 568,178 284,089 852,268 426,134 213,067 639,202 319,601 958,804 479,402 239,701 719,104 359,552 179,776 89,888 44,944 22,472 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127

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