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Atlas › Integer Profiles › Node 7,488,684

7,488,684

22 × 32 × 7 × 29717
Abundant Even Composite

7,488,684 factors as 2^2 × 3^2 × 7 × 29717. Its 36 positive divisors give a proper-divisor sum of 14,146,020, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 29717
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,634,704
Proper Divisor Sum 14,146,020
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7488683 ← → #7488707

Radix Representation

Decimal 7488684
Binary 11100100100010010101100 (23 bits)
Octal 0o34442254
Hexadecimal 0x7244AC

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 29,717 59,434 89,151 118,868 178,302 208,019 267,453 356,604 416,038 534,906 624,057 832,076 1,069,812 1,248,114 1,872,171 2,496,228 3,744,342 7,488,684

Collatz Trajectory (134 steps to reach 1)

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

7,488,684 3,744,342 1,872,171 5,616,514 2,808,257 8,424,772 4,212,386 2,106,193 6,318,580 3,159,290 1,579,645 4,738,936 2,369,468 1,184,734 592,367 1,777,102 888,551 2,665,654 1,332,827 3,998,482 1,999,241 5,997,724 2,998,862 1,499,431 4,498,294 2,249,147 6,747,442 3,373,721 10,121,164 5,060,582 2,530,291 7,590,874 3,795,437 11,386,312 5,693,156 2,846,578 1,423,289 4,269,868 2,134,934 1,067,467 3,202,402 1,601,201 4,803,604 2,401,802 1,200,901 3,602,704 1,801,352 900,676 450,338 225,169 675,508 337,754 168,877 506,632 253,316 126,658 63,329 189,988 94,994 47,497

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