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Atlas › Integer Profiles › Node 7,674,588

7,674,588

22 × 34 × 23687
Abundant Even Composite

7,674,588 factors as 2^2 × 3^4 × 23687. Its 30 positive divisors give a proper-divisor sum of 12,389,148, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 23687
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 20,063,736
Proper Divisor Sum 12,389,148
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7674587 ← → #7674619

Radix Representation

Decimal 7674588
Binary 11101010001101011011100 (23 bits)
Octal 0o35215334
Hexadecimal 0x751ADC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 23,687 47,374 71,061 94,748 142,122 213,183 284,244 426,366 639,549 852,732 1,279,098 1,918,647 2,558,196 3,837,294 7,674,588

Collatz Trajectory (173 steps to reach 1)

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

7,674,588 3,837,294 1,918,647 5,755,942 2,877,971 8,633,914 4,316,957 12,950,872 6,475,436 3,237,718 1,618,859 4,856,578 2,428,289 7,284,868 3,642,434 1,821,217 5,463,652 2,731,826 1,365,913 4,097,740 2,048,870 1,024,435 3,073,306 1,536,653 4,609,960 2,304,980 1,152,490 576,245 1,728,736 864,368 432,184 216,092 108,046 54,023 162,070 81,035 243,106 121,553 364,660 182,330 91,165 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680

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