9,700,700

2² × 5² × 97007

9,700,700 factors as 2^2 × 5^2 × 97007. Its 18 positive divisors give a proper-divisor sum of 11,350,036, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 97007

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 21,050,736

Proper Divisor Sum 11,350,036

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #9700657 ← → #9700709

Radix Representation

Decimal	9700700
Binary	100101000000010101011100 (24 bits)
Octal	0o45002534
Hexadecimal	0x94055C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 97,007 194,014 388,028 485,035 970,070 1,940,140 2,425,175 4,850,350 9,700,700

Collatz Trajectory (207 steps to reach 1)

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

9,700,700 4,850,350 2,425,175 7,275,526 3,637,763 10,913,290 5,456,645 16,369,936 8,184,968 4,092,484 2,046,242 1,023,121 3,069,364 1,534,682 767,341 2,302,024 1,151,012 575,506 287,753 863,260 431,630 215,815 647,446 323,723 971,170 485,585 1,456,756 728,378 364,189 1,092,568 546,284 273,142 136,571 409,714 204,857 614,572 307,286 153,643 460,930 230,465 691,396 345,698 172,849 518,548 259,274 129,637 388,912 194,456 97,228 48,614 24,307 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255

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