9,709,508

2² × 157 × 15461

9,709,508 factors as 2^2 × 157 × 15461. Its 12 positive divisors give a proper-divisor sum of 7,391,464, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 157 × 15461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,100,972

Proper Divisor Sum 7,391,464

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9709507 ← → #9709517

Radix Representation

Decimal	9709508
Binary	100101000010011111000100 (24 bits)
Octal	0o45023704
Hexadecimal	0x9427C4

Divisor Catalog (12)

1 2 4 157 314 628 15,461 30,922 61,844 2,427,377 4,854,754 9,709,508

Collatz Trajectory (163 steps to reach 1)

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

9,709,508 4,854,754 2,427,377 7,282,132 3,641,066 1,820,533 5,461,600 2,730,800 1,365,400 682,700 341,350 170,675 512,026 256,013 768,040 384,020 192,010 96,005 288,016 144,008 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712

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