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Atlas › Integer Profiles › Node 75,910,360

75,910,360

23 × 5 × 71 × 26729
Abundant Even Composite

75,910,360 factors as 2^3 × 5 × 71 × 26729. Its 32 positive divisors give a proper-divisor sum of 97,300,040, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 26729
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 173,210,400
Proper Divisor Sum 97,300,040
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #75910337 ← → #75910361

Radix Representation

Decimal 75910360
Binary 100100001100100110011011000 (27 bits)
Octal 0o441446330
Hexadecimal 0x4864CD8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,840 26,729 53,458 106,916 133,645 213,832 267,290 534,580 1,069,160 1,897,759 3,795,518 7,591,036 9,488,795 15,182,072 18,977,590 37,955,180 75,910,360

Collatz Trajectory (109 steps to reach 1)

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

75,910,360 37,955,180 18,977,590 9,488,795 28,466,386 14,233,193 42,699,580 21,349,790 10,674,895 32,024,686 16,012,343 48,037,030 24,018,515 72,055,546 36,027,773 108,083,320 54,041,660 27,020,830 13,510,415 40,531,246 20,265,623 60,796,870 30,398,435 91,195,306 45,597,653 136,792,960 68,396,480 34,198,240 17,099,120 8,549,560 4,274,780 2,137,390 1,068,695 3,206,086 1,603,043 4,809,130 2,404,565 7,213,696 3,606,848 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375

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