9,777,129

3 × 241 × 13523

9,777,129 factors as 3 × 241 × 13523. Its 8 positive divisors give a proper-divisor sum of 3,314,103, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3 × 241 × 13523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,091,232

Proper Divisor Sum 3,314,103

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9777113 ← → #9777161

Radix Representation

Decimal	9777129
Binary	100101010010111111101001 (24 bits)
Octal	0o45227751
Hexadecimal	0x952FE9

Divisor Catalog (8)

1 3 241 723 13,523 40,569 3,259,043 9,777,129

Collatz Trajectory (163 steps to reach 1)

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

9,777,129 29,331,388 14,665,694 7,332,847 21,998,542 10,999,271 32,997,814 16,498,907 49,496,722 24,748,361 74,245,084 37,122,542 18,561,271 55,683,814 27,841,907 83,525,722 41,762,861 125,288,584 62,644,292 31,322,146 15,661,073 46,983,220 23,491,610 11,745,805 35,237,416 17,618,708 8,809,354 4,404,677 13,214,032 6,607,016 3,303,508 1,651,754 825,877 2,477,632 1,238,816 619,408 309,704 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336

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