9,709,429

37 × 397 × 661

9,709,429 factors as 37 × 397 × 661. Its 8 positive divisors give a proper-divisor sum of 302,659, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 37 × 397 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,012,088

Proper Divisor Sum 302,659

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9709411 ← → #9709477

Radix Representation

Decimal	9709429
Binary	100101000010011101110101 (24 bits)
Octal	0o45023565
Hexadecimal	0x942775

Divisor Catalog (8)

1 37 397 661 14,689 24,457 262,417 9,709,429

Collatz Trajectory (163 steps to reach 1)

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

9,709,429 29,128,288 14,564,144 7,282,072 3,641,036 1,820,518 910,259 2,730,778 1,365,389 4,096,168 2,048,084 1,024,042 512,021 1,536,064 768,032 384,016 192,008 96,004 48,002 24,001 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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