9,709,999

13 × 431 × 1733

9,709,999 factors as 13 × 431 × 1733. Its 8 positive divisors give a proper-divisor sum of 777,233, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 13 × 431 × 1733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,487,232

Proper Divisor Sum 777,233

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9709993 ← → #9710003

Radix Representation

Decimal	9709999
Binary	100101000010100110101111 (24 bits)
Octal	0o45024657
Hexadecimal	0x9429AF

Divisor Catalog (8)

1 13 431 1,733 5,603 22,529 746,923 9,709,999

Collatz Trajectory (119 steps to reach 1)

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

9,709,999 29,129,998 14,564,999 43,694,998 21,847,499 65,542,498 32,771,249 98,313,748 49,156,874 24,578,437 73,735,312 36,867,656 18,433,828 9,216,914 4,608,457 13,825,372 6,912,686 3,456,343 10,369,030 5,184,515 15,553,546 7,776,773 23,330,320 11,665,160 5,832,580 2,916,290 1,458,145 4,374,436 2,187,218 1,093,609 3,280,828 1,640,414 820,207 2,460,622 1,230,311 3,690,934 1,845,467 5,536,402 2,768,201 8,304,604 4,152,302 2,076,151 6,228,454 3,114,227 9,342,682 4,671,341 14,014,024 7,007,012 3,503,506 1,751,753 5,255,260 2,627,630 1,313,815 3,941,446 1,970,723 5,912,170 2,956,085 8,868,256 4,434,128 2,217,064

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