λ
Integer Codex

9,624,407

13 × 383 × 1933
Deficient Odd Composite

For 9,624,407, the 8 positive divisors have a total of 10,397,184. Removing 9,624,407 leaves 772,777, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 383 × 1933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,397,184
Proper Divisor Sum 772,777
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9624379 ← → #9624409

Radix Representation

Decimal 9624407
Binary 100100101101101101010111 (24 bits)
Octal 0o44555527
Hexadecimal 0x92DB57

Divisor Catalog (8)

1 13 383 1,933 4,979 25,129 740,339 9,624,407

Collatz Trajectory (251 steps to reach 1)

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

9,624,407 28,873,222 14,436,611 43,309,834 21,654,917 64,964,752 32,482,376 16,241,188 8,120,594 4,060,297 12,180,892 6,090,446 3,045,223 9,135,670 4,567,835 13,703,506 6,851,753 20,555,260 10,277,630 5,138,815 15,416,446 7,708,223 23,124,670 11,562,335 34,687,006 17,343,503 52,030,510 26,015,255 78,045,766 39,022,883 117,068,650 58,534,325 175,602,976 87,801,488 43,900,744 21,950,372 10,975,186 5,487,593 16,462,780 8,231,390 4,115,695 12,347,086 6,173,543 18,520,630 9,260,315 27,780,946 13,890,473 41,671,420 20,835,710 10,417,855 31,253,566 15,626,783 46,880,350 23,440,175 70,320,526 35,160,263 105,480,790 52,740,395 158,221,186 79,110,593

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