9,725,697

3³ × 43 × 8377

9,725,697 factors as 3^3 × 43 × 8377. Its 16 positive divisors give a proper-divisor sum of 5,019,583, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3^3 × 43 × 8377

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,745,280

Proper Divisor Sum 5,019,583

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9725687 ← → #9725707

Radix Representation

Decimal	9725697
Binary	100101000110011100000001 (24 bits)
Octal	0o45063401
Hexadecimal	0x946701

Divisor Catalog (16)

1 3 9 27 43 129 387 1,161 8,377 25,131 75,393 226,179 360,211 1,080,633 3,241,899 9,725,697

Collatz Trajectory (88 steps to reach 1)

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

9,725,697 29,177,092 14,588,546 7,294,273 21,882,820 10,941,410 5,470,705 16,412,116 8,206,058 4,103,029 12,309,088 6,154,544 3,077,272 1,538,636 769,318 384,659 1,153,978 576,989 1,730,968 865,484 432,742 216,371 649,114 324,557 973,672 486,836 243,418 121,709 365,128 182,564 91,282 45,641 136,924 68,462 34,231 102,694 51,347 154,042 77,021 231,064 115,532 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282

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