λ
Harmonic Matrix

9,581,512

23 × 179 × 6691
Deficient Even Composite

9,581,512 has digital root 4. The neighboring primes are 9581497 and 9581527; its proper-divisor sum differs from the starting integer by -1,094,624.

Prime Factor Structure

Factorization String 2^3 × 179 × 6691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,068,400
Proper Divisor Sum 8,486,888
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9581497 ← → #9581527

Radix Representation

Decimal 9581512
Binary 100100100011001111001000 (24 bits)
Octal 0o44431710
Hexadecimal 0x9233C8

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 6,691 13,382 26,764 53,528 1,197,689 2,395,378 4,790,756 9,581,512

Collatz Trajectory (93 steps to reach 1)

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

9,581,512 4,790,756 2,395,378 1,197,689 3,593,068 1,796,534 898,267 2,694,802 1,347,401 4,042,204 2,021,102 1,010,551 3,031,654 1,515,827 4,547,482 2,273,741 6,821,224 3,410,612 1,705,306 852,653 2,557,960 1,278,980 639,490 319,745 959,236 479,618 239,809 719,428 359,714 179,857 539,572 269,786 134,893 404,680 202,340 101,170 50,585 151,756 75,878 37,939 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132

More profiles

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