9,624,729

3 × 59 × 54377

For 9,624,729, the 8 positive divisors have a total of 13,050,720. Removing 9,624,729 leaves 3,425,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 59 × 54377

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,050,720

Proper Divisor Sum 3,425,991

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9624721 ← → #9624761

Radix Representation

Decimal	9624729
Binary	100100101101110010011001 (24 bits)
Octal	0o44556231
Hexadecimal	0x92DC99

Divisor Catalog (8)

1 3 59 177 54,377 163,131 3,208,243 9,624,729

Collatz Trajectory (145 steps to reach 1)

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

9,624,729 28,874,188 14,437,094 7,218,547 21,655,642 10,827,821 32,483,464 16,241,732 8,120,866 4,060,433 12,181,300 6,090,650 3,045,325 9,135,976 4,567,988 2,283,994 1,141,997 3,425,992 1,712,996 856,498 428,249 1,284,748 642,374 321,187 963,562 481,781 1,445,344 722,672 361,336 180,668 90,334 45,167 135,502 67,751 203,254 101,627 304,882 152,441 457,324 228,662 114,331 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277

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