9,713,372

2² × 101 × 24043

9,713,372 factors as 2^2 × 101 × 24043. Its 12 positive divisors give a proper-divisor sum of 7,454,044, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 101 × 24043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,167,416

Proper Divisor Sum 7,454,044

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9713369 ← → #9713381

Radix Representation

Decimal	9713372
Binary	100101000011011011011100 (24 bits)
Octal	0o45033334
Hexadecimal	0x9436DC

Divisor Catalog (12)

1 2 4 101 202 404 24,043 48,086 96,172 2,428,343 4,856,686 9,713,372

Collatz Trajectory (163 steps to reach 1)

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

9,713,372 4,856,686 2,428,343 7,285,030 3,642,515 10,927,546 5,463,773 16,391,320 8,195,660 4,097,830 2,048,915 6,146,746 3,073,373 9,220,120 4,610,060 2,305,030 1,152,515 3,457,546 1,728,773 5,186,320 2,593,160 1,296,580 648,290 324,145 972,436 486,218 243,109 729,328 364,664 182,332 91,166 45,583 136,750 68,375 205,126 102,563 307,690 153,845 461,536 230,768 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712

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