λ
Integer Codex

9,582,921

33 × 97 × 3659
Deficient Odd Composite

For 9,582,921, the 16 positive divisors have a total of 14,347,200. Removing 9,582,921 leaves 4,764,279, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 97 × 3659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,347,200
Proper Divisor Sum 4,764,279
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9582919 ← → #9582977

Radix Representation

Decimal 9582921
Binary 100100100011100101001001 (24 bits)
Octal 0o44434511
Hexadecimal 0x923949

Divisor Catalog (16)

1 3 9 27 97 291 873 2,619 3,659 10,977 32,931 98,793 354,923 1,064,769 3,194,307 9,582,921

Collatz Trajectory (238 steps to reach 1)

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

9,582,921 28,748,764 14,374,382 7,187,191 21,561,574 10,780,787 32,342,362 16,171,181 48,513,544 24,256,772 12,128,386 6,064,193 18,192,580 9,096,290 4,548,145 13,644,436 6,822,218 3,411,109 10,233,328 5,116,664 2,558,332 1,279,166 639,583 1,918,750 959,375 2,878,126 1,439,063 4,317,190 2,158,595 6,475,786 3,237,893 9,713,680 4,856,840 2,428,420 1,214,210 607,105 1,821,316 910,658 455,329 1,365,988 682,994 341,497 1,024,492 512,246 256,123 768,370 384,185 1,152,556 576,278 288,139 864,418 432,209 1,296,628 648,314 324,157 972,472 486,236 243,118 121,559 364,678

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