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Atlas › Integer Profiles › Node 97,090,404

97,090,404

22 × 3 × 97 × 239 × 349
Abundant Even Composite

97,090,404 factors as 2^2 × 3 × 97 × 239 × 349. Its 48 positive divisors give a proper-divisor sum of 133,405,596, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 97 × 239 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 230,496,000
Proper Divisor Sum 133,405,596
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #97090403 ← → #97090421

Radix Representation

Decimal 97090404
Binary 101110010010111101101100100 (27 bits)
Octal 0o562275544
Hexadecimal 0x5C97B64

Divisor Catalog (48)

1 2 3 4 6 12 97 194 239 291 349 388 478 582 698 717 956 1,047 1,164 1,396 1,434 2,094 2,868 4,188 23,183 33,853 46,366 67,706 69,549 83,411 92,732 101,559 135,412 139,098 166,822 203,118 250,233 278,196 333,644 406,236 500,466 1,000,932 8,090,867 16,181,734 24,272,601 32,363,468 48,545,202 97,090,404

Collatz Trajectory (86 steps to reach 1)

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

97,090,404 48,545,202 24,272,601 72,817,804 36,408,902 18,204,451 54,613,354 27,306,677 81,920,032 40,960,016 20,480,008 10,240,004 5,120,002 2,560,001 7,680,004 3,840,002 1,920,001 5,760,004 2,880,002 1,440,001 4,320,004 2,160,002 1,080,001 3,240,004 1,620,002 810,001 2,430,004 1,215,002 607,501 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851

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