15,984,652

2² × 331 × 12073

15,984,652 factors as 2^2 × 331 × 12073. Its 12 positive divisors give a proper-divisor sum of 12,075,324, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 331 × 12073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 28,059,976

Proper Divisor Sum 12,075,324

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #15984649 ← → #15984671

Radix Representation

Decimal	15984652
Binary	111100111110100000001100 (24 bits)
Octal	0o74764014
Hexadecimal	0xF3E80C

Divisor Catalog (12)

1 2 4 331 662 1,324 12,073 24,146 48,292 3,996,163 7,992,326 15,984,652

Collatz Trajectory (94 steps to reach 1)

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

15,984,652 7,992,326 3,996,163 11,988,490 5,994,245 17,982,736 8,991,368 4,495,684 2,247,842 1,123,921 3,371,764 1,685,882 842,941 2,528,824 1,264,412 632,206 316,103 948,310 474,155 1,422,466 711,233 2,133,700 1,066,850 533,425 1,600,276 800,138 400,069 1,200,208 600,104 300,052 150,026 75,013 225,040 112,520 56,260 28,130 14,065 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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