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Atlas › Integer Profiles › Node 10,374,832

10,374,832

24 × 13 × 31 × 1609
Abundant Even Composite

10,374,832 factors as 2^4 × 13 × 31 × 1609. Its 40 positive divisors give a proper-divisor sum of 11,984,848, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 31 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,359,680
Proper Divisor Sum 11,984,848
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10374823 ← → #10374839

Radix Representation

Decimal 10374832
Binary 100111100100111010110000 (24 bits)
Octal 0o47447260
Hexadecimal 0x9E4EB0

Divisor Catalog (40)

1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1,609 1,612 3,218 3,224 6,436 6,448 12,872 20,917 25,744 41,834 49,879 83,668 99,758 167,336 199,516 334,672 399,032 648,427 798,064 1,296,854 2,593,708 5,187,416 10,374,832

Collatz Trajectory (207 steps to reach 1)

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

10,374,832 5,187,416 2,593,708 1,296,854 648,427 1,945,282 972,641 2,917,924 1,458,962 729,481 2,188,444 1,094,222 547,111 1,641,334 820,667 2,462,002 1,231,001 3,693,004 1,846,502 923,251 2,769,754 1,384,877 4,154,632 2,077,316 1,038,658 519,329 1,557,988 778,994 389,497 1,168,492 584,246 292,123 876,370 438,185 1,314,556 657,278 328,639 985,918 492,959 1,478,878 739,439 2,218,318 1,109,159 3,327,478 1,663,739 4,991,218 2,495,609 7,486,828 3,743,414 1,871,707 5,615,122 2,807,561 8,422,684 4,211,342 2,105,671 6,317,014 3,158,507 9,475,522 4,737,761 14,213,284

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