λ
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Atlas › Integer Profiles › Node 97,279,812

97,279,812

22 × 33 × 7 × 128677
Abundant Even Composite

97,279,812 factors as 2^2 × 3^3 × 7 × 128677. Its 48 positive divisors give a proper-divisor sum of 190,958,908, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 128677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 288,238,720
Proper Divisor Sum 190,958,908
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #97279807 ← → #97279817

Radix Representation

Decimal 97279812
Binary 101110011000101111101000100 (27 bits)
Octal 0o563057504
Hexadecimal 0x5CC5F44

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 128,677 257,354 386,031 514,708 772,062 900,739 1,158,093 1,544,124 1,801,478 2,316,186 2,702,217 3,474,279 3,602,956 4,632,372 5,404,434 6,948,558 8,106,651 10,808,868 13,897,116 16,213,302 24,319,953 32,426,604 48,639,906 97,279,812

Collatz Trajectory (200 steps to reach 1)

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

97,279,812 48,639,906 24,319,953 72,959,860 36,479,930 18,239,965 54,719,896 27,359,948 13,679,974 6,839,987 20,519,962 10,259,981 30,779,944 15,389,972 7,694,986 3,847,493 11,542,480 5,771,240 2,885,620 1,442,810 721,405 2,164,216 1,082,108 541,054 270,527 811,582 405,791 1,217,374 608,687 1,826,062 913,031 2,739,094 1,369,547 4,108,642 2,054,321 6,162,964 3,081,482 1,540,741 4,622,224 2,311,112 1,155,556 577,778 288,889 866,668 433,334 216,667 650,002 325,001 975,004 487,502 243,751 731,254 365,627 1,096,882 548,441 1,645,324 822,662 411,331 1,233,994 616,997

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