λ
Integer Codex

9,929,407

131 × 75797
Deficient Odd Composite

For 9,929,407, the 4 positive divisors have a total of 10,005,336. Removing 9,929,407 leaves 75,929, which gives the deficient classification.

Prime Factor Structure

Factorization String 131 × 75797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,005,336
Proper Divisor Sum 75,929
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9929383 ← → #9929417

Radix Representation

Decimal 9929407
Binary 100101111000001010111111 (24 bits)
Octal 0o45701277
Hexadecimal 0x9782BF

Divisor Catalog (4)

1 131 75,797 9,929,407

Collatz Trajectory (150 steps to reach 1)

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

9,929,407 29,788,222 14,894,111 44,682,334 22,341,167 67,023,502 33,511,751 100,535,254 50,267,627 150,802,882 75,401,441 226,204,324 113,102,162 56,551,081 169,653,244 84,826,622 42,413,311 127,239,934 63,619,967 190,859,902 95,429,951 286,289,854 143,144,927 429,434,782 214,717,391 644,152,174 322,076,087 966,228,262 483,114,131 1,449,342,394 724,671,197 2,174,013,592 1,087,006,796 543,503,398 271,751,699 815,255,098 407,627,549 1,222,882,648 611,441,324 305,720,662 152,860,331 458,580,994 229,290,497 687,871,492 343,935,746 171,967,873 515,903,620 257,951,810 128,975,905 386,927,716 193,463,858 96,731,929 290,195,788 145,097,894 72,548,947 217,646,842 108,823,421 326,470,264 163,235,132 81,617,566

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