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Atlas › Integer Profiles › Node 48,758,922

48,758,922

2 × 35 × 41 × 2447
Abundant Even Composite

48,758,922 factors as 2 × 3^5 × 41 × 2447. Its 48 positive divisors give a proper-divisor sum of 63,516,150, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 41 × 2447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,275,072
Proper Divisor Sum 63,516,150
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #48758903 ← → #48758923

Radix Representation

Decimal 48758922
Binary 10111010000000000010001010 (26 bits)
Octal 0o272000212
Hexadecimal 0x2E8008A

Divisor Catalog (48)

1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1,107 2,214 2,447 3,321 4,894 6,642 7,341 9,963 14,682 19,926 22,023 44,046 66,069 100,327 132,138 198,207 200,654 300,981 396,414 594,621 601,962 902,943 1,189,242 1,805,886 2,708,829 5,417,658 8,126,487 16,252,974 24,379,461 48,758,922

Collatz Trajectory (93 steps to reach 1)

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

48,758,922 24,379,461 73,138,384 36,569,192 18,284,596 9,142,298 4,571,149 13,713,448 6,856,724 3,428,362 1,714,181 5,142,544 2,571,272 1,285,636 642,818 321,409 964,228 482,114 241,057 723,172 361,586 180,793 542,380 271,190 135,595 406,786 203,393 610,180 305,090 152,545 457,636 228,818 114,409 343,228 171,614 85,807 257,422 128,711 386,134 193,067 579,202 289,601 868,804 434,402 217,201 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432

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