9,929,829

3 × 7 × 13 × 36373

9,929,829 factors as 3 × 7 × 13 × 36373. Its 16 positive divisors give a proper-divisor sum of 6,365,723, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 36373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,295,552

Proper Divisor Sum 6,365,723

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9929771 ← → #9929833

Radix Representation

Decimal	9929829
Binary	100101111000010001100101 (24 bits)
Octal	0o45702145
Hexadecimal	0x978465

Divisor Catalog (16)

1 3 7 13 21 39 91 273 36,373 109,119 254,611 472,849 763,833 1,418,547 3,309,943 9,929,829

Collatz Trajectory (176 steps to reach 1)

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

9,929,829 29,789,488 14,894,744 7,447,372 3,723,686 1,861,843 5,585,530 2,792,765 8,378,296 4,189,148 2,094,574 1,047,287 3,141,862 1,570,931 4,712,794 2,356,397 7,069,192 3,534,596 1,767,298 883,649 2,650,948 1,325,474 662,737 1,988,212 994,106 497,053 1,491,160 745,580 372,790 186,395 559,186 279,593 838,780 419,390 209,695 629,086 314,543 943,630 471,815 1,415,446 707,723 2,123,170 1,061,585 3,184,756 1,592,378 796,189 2,388,568 1,194,284 597,142 298,571 895,714 447,857 1,343,572 671,786 335,893 1,007,680 503,840 251,920 125,960 62,980

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