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Atlas › Integer Profiles › Node 76,106,928

76,106,928

24 × 3 × 37 × 42853
Abundant Even Composite

76,106,928 factors as 2^4 × 3 × 37 × 42853. Its 40 positive divisors give a proper-divisor sum of 125,821,120, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 37 × 42853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 201,928,048
Proper Divisor Sum 125,821,120
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #76106911 ← → #76106929

Radix Representation

Decimal 76106928
Binary 100100010010100110010110000 (27 bits)
Octal 0o442246260
Hexadecimal 0x4894CB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1,776 42,853 85,706 128,559 171,412 257,118 342,824 514,236 685,648 1,028,472 1,585,561 2,056,944 3,171,122 4,756,683 6,342,244 9,513,366 12,684,488 19,026,732 25,368,976 38,053,464 76,106,928

Collatz Trajectory (104 steps to reach 1)

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

76,106,928 38,053,464 19,026,732 9,513,366 4,756,683 14,270,050 7,135,025 21,405,076 10,702,538 5,351,269 16,053,808 8,026,904 4,013,452 2,006,726 1,003,363 3,010,090 1,505,045 4,515,136 2,257,568 1,128,784 564,392 282,196 141,098 70,549 211,648 105,824 52,912 26,456 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512

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