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Atlas › Integer Profiles › Node 38,480,596

38,480,596

22 × 7 × 11 × 101 × 1237
Abundant Even Composite

38,480,596 factors as 2^2 × 7 × 11 × 101 × 1237. Its 48 positive divisors give a proper-divisor sum of 46,376,876, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 101 × 1237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,857,472
Proper Divisor Sum 46,376,876
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #38480573 ← → #38480599

Radix Representation

Decimal 38480596
Binary 10010010110010101011010100 (26 bits)
Octal 0o222625324
Hexadecimal 0x24B2AD4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1,111 1,237 1,414 2,222 2,474 2,828 4,444 4,948 7,777 8,659 13,607 15,554 17,318 27,214 31,108 34,636 54,428 95,249 124,937 190,498 249,874 380,996 499,748 874,559 1,374,307 1,749,118 2,748,614 3,498,236 5,497,228 9,620,149 19,240,298 38,480,596

Collatz Trajectory (121 steps to reach 1)

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

38,480,596 19,240,298 9,620,149 28,860,448 14,430,224 7,215,112 3,607,556 1,803,778 901,889 2,705,668 1,352,834 676,417 2,029,252 1,014,626 507,313 1,521,940 760,970 380,485 1,141,456 570,728 285,364 142,682 71,341 214,024 107,012 53,506 26,753 80,260 40,130 20,065 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133

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