42,932,632

2³ × 677 × 7927

42,932,632 factors as 2^3 × 677 × 7927. Its 16 positive divisors give a proper-divisor sum of 37,695,128, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 677 × 7927

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 80,627,760

Proper Divisor Sum 37,695,128

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42932627 ← → #42932639

Radix Representation

Decimal	42932632
Binary	10100011110001100110011000 (26 bits)
Octal	0o243614630
Hexadecimal	0x28F1998

Divisor Catalog (16)

1 2 4 8 677 1,354 2,708 5,416 7,927 15,854 31,708 63,416 5,366,579 10,733,158 21,466,316 42,932,632

Collatz Trajectory (98 steps to reach 1)

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

42,932,632 21,466,316 10,733,158 5,366,579 16,099,738 8,049,869 24,149,608 12,074,804 6,037,402 3,018,701 9,056,104 4,528,052 2,264,026 1,132,013 3,396,040 1,698,020 849,010 424,505 1,273,516 636,758 318,379 955,138 477,569 1,432,708 716,354 358,177 1,074,532 537,266 268,633 805,900 402,950 201,475 604,426 302,213 906,640 453,320 226,660 113,330 56,665 169,996 84,998 42,499 127,498 63,749 191,248 95,624 47,812 23,906 11,953 35,860 17,930 8,965 26,896 13,448 6,724 3,362 1,681 5,044 2,522 1,261

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