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Atlas › Integer Profiles › Node 50,424,272

50,424,272

24 × 29 × 109 × 997
Abundant Even Composite

50,424,272 factors as 2^4 × 29 × 109 × 997. Its 40 positive divisors give a proper-divisor sum of 51,671,128, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 109 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 102,095,400
Proper Divisor Sum 51,671,128
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50424263 ← → #50424281

Radix Representation

Decimal 50424272
Binary 11000000010110100111010000 (26 bits)
Octal 0o300264720
Hexadecimal 0x30169D0

Divisor Catalog (40)

1 2 4 8 16 29 58 109 116 218 232 436 464 872 997 1,744 1,994 3,161 3,988 6,322 7,976 12,644 15,952 25,288 28,913 50,576 57,826 108,673 115,652 217,346 231,304 434,692 462,608 869,384 1,738,768 3,151,517 6,303,034 12,606,068 25,212,136 50,424,272

Collatz Trajectory (93 steps to reach 1)

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

50,424,272 25,212,136 12,606,068 6,303,034 3,151,517 9,454,552 4,727,276 2,363,638 1,181,819 3,545,458 1,772,729 5,318,188 2,659,094 1,329,547 3,988,642 1,994,321 5,982,964 2,991,482 1,495,741 4,487,224 2,243,612 1,121,806 560,903 1,682,710 841,355 2,524,066 1,262,033 3,786,100 1,893,050 946,525 2,839,576 1,419,788 709,894 354,947 1,064,842 532,421 1,597,264 798,632 399,316 199,658 99,829 299,488 149,744 74,872 37,436 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885

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