15,631

7² × 11 × 29

For 15,631, the 12 positive divisors have a total of 20,520. Removing 15,631 leaves 4,889, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 11 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,520

Proper Divisor Sum 4,889

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #15629 ← → #15641

Radix Representation

Decimal	15631
Binary	11110100001111 (14 bits)
Octal	0o36417
Hexadecimal	0x3D0F

Divisor Catalog (12)

1 7 11 29 49 77 203 319 539 1,421 2,233 15,631

Collatz Trajectory (133 steps to reach 1)

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

15,631 46,894 23,447 70,342 35,171 105,514 52,757 158,272 79,136 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577

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