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Atlas › Integer Profiles › Node 74,248,180

74,248,180

22 × 5 × 17 × 131 × 1667
Abundant Even Composite

74,248,180 factors as 2^2 × 5 × 17 × 131 × 1667. Its 48 positive divisors give a proper-divisor sum of 92,204,876, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 131 × 1667
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 166,453,056
Proper Divisor Sum 92,204,876
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #74248169 ← → #74248183

Radix Representation

Decimal 74248180
Binary 100011011001110111111110100 (27 bits)
Octal 0o433167764
Hexadecimal 0x46CEFF4

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 655 1,310 1,667 2,227 2,620 3,334 4,454 6,668 8,335 8,908 11,135 16,670 22,270 28,339 33,340 44,540 56,678 113,356 141,695 218,377 283,390 436,754 566,780 873,508 1,091,885 2,183,770 3,712,409 4,367,540 7,424,818 14,849,636 18,562,045 37,124,090 74,248,180

Collatz Trajectory (184 steps to reach 1)

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

74,248,180 37,124,090 18,562,045 55,686,136 27,843,068 13,921,534 6,960,767 20,882,302 10,441,151 31,323,454 15,661,727 46,985,182 23,492,591 70,477,774 35,238,887 105,716,662 52,858,331 158,574,994 79,287,497 237,862,492 118,931,246 59,465,623 178,396,870 89,198,435 267,595,306 133,797,653 401,392,960 200,696,480 100,348,240 50,174,120 25,087,060 12,543,530 6,271,765 18,815,296 9,407,648 4,703,824 2,351,912 1,175,956 587,978 293,989 881,968 440,984 220,492 110,246 55,123 165,370 82,685 248,056 124,028 62,014 31,007 93,022 46,511 139,534 69,767 209,302 104,651 313,954 156,977 470,932

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