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Atlas › Integer Profiles › Node 49,892,016

49,892,016

24 × 3 × 499 × 2083
Abundant Even Composite

49,892,016 factors as 2^4 × 3 × 499 × 2083. Its 40 positive divisors give a proper-divisor sum of 79,315,984, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 499 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 129,208,000
Proper Divisor Sum 79,315,984
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #49892009 ← → #49892033

Radix Representation

Decimal 49892016
Binary 10111110010100101010110000 (26 bits)
Octal 0o276245260
Hexadecimal 0x2F94AB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 499 998 1,497 1,996 2,083 2,994 3,992 4,166 5,988 6,249 7,984 8,332 11,976 12,498 16,664 23,952 24,996 33,328 49,992 99,984 1,039,417 2,078,834 3,118,251 4,157,668 6,236,502 8,315,336 12,473,004 16,630,672 24,946,008 49,892,016

Collatz Trajectory (186 steps to reach 1)

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

49,892,016 24,946,008 12,473,004 6,236,502 3,118,251 9,354,754 4,677,377 14,032,132 7,016,066 3,508,033 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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