31,997,684

2² × 421 × 19001

31,997,684 factors as 2^2 × 421 × 19001. Its 12 positive divisors give a proper-divisor sum of 24,134,224, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 421 × 19001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 56,131,908

Proper Divisor Sum 24,134,224

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #31997683 ← → #31997717

Radix Representation

Decimal	31997684
Binary	1111010000011111011110100 (25 bits)
Octal	0o172037364
Hexadecimal	0x1E83EF4

Divisor Catalog (12)

1 2 4 421 842 1,684 19,001 38,002 76,004 7,999,421 15,998,842 31,997,684

Collatz Trajectory (144 steps to reach 1)

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

31,997,684 15,998,842 7,999,421 23,998,264 11,999,132 5,999,566 2,999,783 8,999,350 4,499,675 13,499,026 6,749,513 20,248,540 10,124,270 5,062,135 15,186,406 7,593,203 22,779,610 11,389,805 34,169,416 17,084,708 8,542,354 4,271,177 12,813,532 6,406,766 3,203,383 9,610,150 4,805,075 14,415,226 7,207,613 21,622,840 10,811,420 5,405,710 2,702,855 8,108,566 4,054,283 12,162,850 6,081,425 18,244,276 9,122,138 4,561,069 13,683,208 6,841,604 3,420,802 1,710,401 5,131,204 2,565,602 1,282,801 3,848,404 1,924,202 962,101 2,886,304 1,443,152 721,576 360,788 180,394 90,197 270,592 135,296 67,648 33,824

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