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Atlas › Integer Profiles › Node 71,283,136

71,283,136

26 × 19 × 312 × 61
Abundant Even Composite

71,283,136 factors as 2^6 × 19 × 31^2 × 61. Its 84 positive divisors give a proper-divisor sum of 85,094,504, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 31^2 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 156,377,640
Proper Divisor Sum 85,094,504
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #71283103 ← → #71283143

Radix Representation

Decimal 71283136
Binary 100001111111011000111000000 (27 bits)
Octal 0o417730700
Hexadecimal 0x43FB1C0

Divisor Catalog (60 of 84)

1 2 4 8 16 19 31 32 38 61 62 64 76 122 124 152 244 248 304 488 496 589 608 961 976 992 1,159 1,178 1,216 1,891 1,922 1,952 1,984 2,318 2,356 3,782 3,844 3,904 4,636 4,712 7,564 7,688 9,272 9,424 15,128 15,376 18,259 18,544 18,848 30,256 30,752 35,929 36,518 37,088 37,696 58,621 60,512 61,504 71,858 73,036

Collatz Trajectory (184 steps to reach 1)

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

71,283,136 35,641,568 17,820,784 8,910,392 4,455,196 2,227,598 1,113,799 3,341,398 1,670,699 5,012,098 2,506,049 7,518,148 3,759,074 1,879,537 5,638,612 2,819,306 1,409,653 4,228,960 2,114,480 1,057,240 528,620 264,310 132,155 396,466 198,233 594,700 297,350 148,675 446,026 223,013 669,040 334,520 167,260 83,630 41,815 125,446 62,723 188,170 94,085 282,256 141,128 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560

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