λ
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Atlas › Integer Profiles › Node 49,892,024

49,892,024

23 × 7 × 13 × 19 × 3607
Abundant Even Composite

49,892,024 factors as 2^3 × 7 × 13 × 19 × 3607. Its 64 positive divisors give a proper-divisor sum of 71,336,776, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 19 × 3607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 121,228,800
Proper Divisor Sum 71,336,776
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #49892009 ← → #49892033

Radix Representation

Decimal 49892024
Binary 10111110010100101010111000 (26 bits)
Octal 0o276245270
Hexadecimal 0x2F94AB8

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1,064 1,729 1,976 3,458 3,607 6,916 7,214 13,832 14,428 25,249 28,856 46,891 50,498 68,533 93,782 100,996 137,066 187,564 201,992 274,132 328,237 375,128 479,731 548,264 656,474 890,929 959,462 1,312,948 1,781,858 1,918,924 2,625,896 3,563,716 3,837,848 6,236,503

Collatz Trajectory (186 steps to reach 1)

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

49,892,024 24,946,012 12,473,006 6,236,503 18,709,510 9,354,755 28,064,266 14,032,133 42,096,400 21,048,200 10,524,100 5,262,050 2,631,025 7,893,076 3,946,538 1,973,269 5,919,808 2,959,904 1,479,952 739,976 369,988 184,994 92,497 277,492 138,746 69,373 208,120 104,060 52,030 26,015 78,046 39,023 117,070 58,535 175,606 87,803 263,410 131,705 395,116 197,558 98,779 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744

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