9,709,987

7³ × 28309

9,709,987 factors as 7^3 × 28309. Its 8 positive divisors give a proper-divisor sum of 1,614,013, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 7^3 × 28309

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,324,000

Proper Divisor Sum 1,614,013

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #9709963 ← → #9709993

Radix Representation

Decimal	9709987
Binary	100101000010100110100011 (24 bits)
Octal	0o45024643
Hexadecimal	0x9429A3

Divisor Catalog (8)

1 7 49 343 28,309 198,163 1,387,141 9,709,987

Collatz Trajectory (163 steps to reach 1)

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

9,709,987 29,129,962 14,564,981 43,694,944 21,847,472 10,923,736 5,461,868 2,730,934 1,365,467 4,096,402 2,048,201 6,144,604 3,072,302 1,536,151 4,608,454 2,304,227 6,912,682 3,456,341 10,369,024 5,184,512 2,592,256 1,296,128 648,064 324,032 162,016 81,008 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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