9,701,972

2² × 7 × 157 × 2207

9,701,972 factors as 2^2 × 7 × 157 × 2207. Its 24 positive divisors give a proper-divisor sum of 9,834,412, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 157 × 2207

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,536,384

Proper Divisor Sum 9,834,412

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9701971 ← → #9701983

Radix Representation

Decimal	9701972
Binary	100101000000101001010100 (24 bits)
Octal	0o45005124
Hexadecimal	0x940A54

Divisor Catalog (24)

Collatz Trajectory (238 steps to reach 1)

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

9,701,972 4,850,986 2,425,493 7,276,480 3,638,240 1,819,120 909,560 454,780 227,390 113,695 341,086 170,543 511,630 255,815 767,446 383,723 1,151,170 575,585 1,726,756 863,378 431,689 1,295,068 647,534 323,767 971,302 485,651 1,456,954 728,477 2,185,432 1,092,716 546,358 273,179 819,538 409,769 1,229,308 614,654 307,327 921,982 460,991 1,382,974 691,487 2,074,462 1,037,231 3,111,694 1,555,847 4,667,542 2,333,771 7,001,314 3,500,657 10,501,972 5,250,986 2,625,493 7,876,480 3,938,240 1,969,120 984,560 492,280 246,140 123,070 61,535

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