51,032

2³ × 6379

51,032 factors as 2^3 × 6379. Its 8 positive divisors give a proper-divisor sum of 44,668, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^3 × 6379

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 95,700

Proper Divisor Sum 44,668

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #51031 ← → #51043

Radix Representation

Decimal	51032
Binary	1100011101011000 (16 bits)
Octal	0o143530
Hexadecimal	0xC758

Divisor Catalog (8)

1 2 4 8 6,379 12,758 25,516 51,032

Collatz Trajectory (83 steps to reach 1)

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

51,032 25,516 12,758 6,379 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325

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