λ
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Atlas › Integer Profiles › Node 50,896,624

50,896,624

24 × 29 × 229 × 479
Abundant Even Composite

50,896,624 factors as 2^4 × 29 × 229 × 479. Its 40 positive divisors give a proper-divisor sum of 51,775,376, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 229 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 102,672,000
Proper Divisor Sum 51,775,376
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #50896613 ← → #50896633

Radix Representation

Decimal 50896624
Binary 11000010001001111011110000 (26 bits)
Octal 0o302117360
Hexadecimal 0x3089EF0

Divisor Catalog (40)

1 2 4 8 16 29 58 116 229 232 458 464 479 916 958 1,832 1,916 3,664 3,832 6,641 7,664 13,282 13,891 26,564 27,782 53,128 55,564 106,256 109,691 111,128 219,382 222,256 438,764 877,528 1,755,056 3,181,039 6,362,078 12,724,156 25,448,312 50,896,624

Collatz Trajectory (181 steps to reach 1)

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

50,896,624 25,448,312 12,724,156 6,362,078 3,181,039 9,543,118 4,771,559 14,314,678 7,157,339 21,472,018 10,736,009 32,208,028 16,104,014 8,052,007 24,156,022 12,078,011 36,234,034 18,117,017 54,351,052 27,175,526 13,587,763 40,763,290 20,381,645 61,144,936 30,572,468 15,286,234 7,643,117 22,929,352 11,464,676 5,732,338 2,866,169 8,598,508 4,299,254 2,149,627 6,448,882 3,224,441 9,673,324 4,836,662 2,418,331 7,254,994 3,627,497 10,882,492 5,441,246 2,720,623 8,161,870 4,080,935 12,242,806 6,121,403 18,364,210 9,182,105 27,546,316 13,773,158 6,886,579 20,659,738 10,329,869 30,989,608 15,494,804 7,747,402 3,873,701 11,621,104

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