9,709,988

2² × 19 × 127763

9,709,988 factors as 2^2 × 19 × 127763. Its 12 positive divisors give a proper-divisor sum of 8,176,972, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 127763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,886,960

Proper Divisor Sum 8,176,972

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #9709963 ← → #9709993

Radix Representation

Decimal	9709988
Binary	100101000010100110100100 (24 bits)
Octal	0o45024644
Hexadecimal	0x9429A4

Divisor Catalog (12)

1 2 4 19 38 76 127,763 255,526 511,052 2,427,497 4,854,994 9,709,988

Collatz Trajectory (163 steps to reach 1)

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

9,709,988 4,854,994 2,427,497 7,282,492 3,641,246 1,820,623 5,461,870 2,730,935 8,192,806 4,096,403 12,289,210 6,144,605 18,433,816 9,216,908 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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