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Atlas › Integer Profiles › Node 80,901,390

80,901,390

2 × 3 × 5 × 59 × 45707
Abundant Even Composite

80,901,390 factors as 2 × 3 × 5 × 59 × 45707. Its 32 positive divisors give a proper-divisor sum of 116,557,170, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 45707
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 197,458,560
Proper Divisor Sum 116,557,170
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #80901371 ← → #80901391

Radix Representation

Decimal 80901390
Binary 100110100100111010100001110 (27 bits)
Octal 0o464472416
Hexadecimal 0x4D2750E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1,770 45,707 91,414 137,121 228,535 274,242 457,070 685,605 1,371,210 2,696,713 5,393,426 8,090,139 13,483,565 16,180,278 26,967,130 40,450,695 80,901,390

Collatz Trajectory (228 steps to reach 1)

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

80,901,390 40,450,695 121,352,086 60,676,043 182,028,130 91,014,065 273,042,196 136,521,098 68,260,549 204,781,648 102,390,824 51,195,412 25,597,706 12,798,853 38,396,560 19,198,280 9,599,140 4,799,570 2,399,785 7,199,356 3,599,678 1,799,839 5,399,518 2,699,759 8,099,278 4,049,639 12,148,918 6,074,459 18,223,378 9,111,689 27,335,068 13,667,534 6,833,767 20,501,302 10,250,651 30,751,954 15,375,977 46,127,932 23,063,966 11,531,983 34,595,950 17,297,975 51,893,926 25,946,963 77,840,890 38,920,445 116,761,336 58,380,668 29,190,334 14,595,167 43,785,502 21,892,751 65,678,254 32,839,127 98,517,382 49,258,691 147,776,074 73,888,037 221,664,112 110,832,056

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