9,720,697

7 × 23 × 173 × 349

9,720,697 factors as 7 × 23 × 173 × 349. Its 16 positive divisors give a proper-divisor sum of 1,972,103, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 7 × 23 × 173 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,692,800

Proper Divisor Sum 1,972,103

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9720673 ← → #9720727

Radix Representation

Decimal	9720697
Binary	100101000101001101111001 (24 bits)
Octal	0o45051571
Hexadecimal	0x945379

Divisor Catalog (16)

1 7 23 161 173 349 1,211 2,443 3,979 8,027 27,853 56,189 60,377 422,639 1,388,671 9,720,697

Collatz Trajectory (132 steps to reach 1)

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

9,720,697 29,162,092 14,581,046 7,290,523 21,871,570 10,935,785 32,807,356 16,403,678 8,201,839 24,605,518 12,302,759 36,908,278 18,454,139 55,362,418 27,681,209 83,043,628 41,521,814 20,760,907 62,282,722 31,141,361 93,424,084 46,712,042 23,356,021 70,068,064 35,034,032 17,517,016 8,758,508 4,379,254 2,189,627 6,568,882 3,284,441 9,853,324 4,926,662 2,463,331 7,389,994 3,694,997 11,084,992 5,542,496 2,771,248 1,385,624 692,812 346,406 173,203 519,610 259,805 779,416 389,708 194,854 97,427 292,282 146,141 438,424 219,212 109,606 54,803 164,410 82,205 246,616 123,308 61,654

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