9,709,768

2³ × 1213721

9,709,768 factors as 2^3 × 1213721. Its 8 positive divisors give a proper-divisor sum of 8,496,062, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 1213721

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,205,830

Proper Divisor Sum 8,496,062

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9709757 ← → #9709781

Radix Representation

Decimal	9709768
Binary	100101000010100011001000 (24 bits)
Octal	0o45024310
Hexadecimal	0x9428C8

Divisor Catalog (8)

1 2 4 8 1,213,721 2,427,442 4,854,884 9,709,768

Collatz Trajectory (238 steps to reach 1)

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

9,709,768 4,854,884 2,427,442 1,213,721 3,641,164 1,820,582 910,291 2,730,874 1,365,437 4,096,312 2,048,156 1,024,078 512,039 1,536,118 768,059 2,304,178 1,152,089 3,456,268 1,728,134 864,067 2,592,202 1,296,101 3,888,304 1,944,152 972,076 486,038 243,019 729,058 364,529 1,093,588 546,794 273,397 820,192 410,096 205,048 102,524 51,262 25,631 76,894 38,447 115,342 57,671 173,014 86,507 259,522 129,761 389,284 194,642 97,321 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694 246,347 739,042 369,521

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