λ
Harmonic Matrix

9,663,056

24 × 13 × 46457
Abundant Even Composite

9,663,056 has digital root 8. The neighboring primes are 9663053 and 9663091; its proper-divisor sum differs from the starting integer by 836,660.

Prime Factor Structure

Factorization String 2^4 × 13 × 46457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,162,772
Proper Divisor Sum 10,499,716
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9663053 ← → #9663091

Radix Representation

Decimal 9663056
Binary 100100110111001001010000 (24 bits)
Octal 0o44671120
Hexadecimal 0x937250

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 46,457 92,914 185,828 371,656 603,941 743,312 1,207,882 2,415,764 4,831,528 9,663,056

Collatz Trajectory (119 steps to reach 1)

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

9,663,056 4,831,528 2,415,764 1,207,882 603,941 1,811,824 905,912 452,956 226,478 113,239 339,718 169,859 509,578 254,789 764,368 382,184 191,092 95,546 47,773 143,320 71,660 35,830 17,915 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703

More profiles

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