λ
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Atlas › Integer Profiles › Node 70,734,688

70,734,688

25 × 17 × 130027
Abundant Even Composite

70,734,688 factors as 2^5 × 17 × 130027. Its 24 positive divisors give a proper-divisor sum of 76,717,064, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 130027
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 147,451,752
Proper Divisor Sum 76,717,064
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #70734659 ← → #70734689

Radix Representation

Decimal 70734688
Binary 100001101110101001101100000 (27 bits)
Octal 0o415651540
Hexadecimal 0x4375360

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 130,027 260,054 520,108 1,040,216 2,080,432 2,210,459 4,160,864 4,420,918 8,841,836 17,683,672 35,367,344 70,734,688

Collatz Trajectory (290 steps to reach 1)

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

70,734,688 35,367,344 17,683,672 8,841,836 4,420,918 2,210,459 6,631,378 3,315,689 9,947,068 4,973,534 2,486,767 7,460,302 3,730,151 11,190,454 5,595,227 16,785,682 8,392,841 25,178,524 12,589,262 6,294,631 18,883,894 9,441,947 28,325,842 14,162,921 42,488,764 21,244,382 10,622,191 31,866,574 15,933,287 47,799,862 23,899,931 71,699,794 35,849,897 107,549,692 53,774,846 26,887,423 80,662,270 40,331,135 120,993,406 60,496,703 181,490,110 90,745,055 272,235,166 136,117,583 408,352,750 204,176,375 612,529,126 306,264,563 918,793,690 459,396,845 1,378,190,536 689,095,268 344,547,634 172,273,817 516,821,452 258,410,726 129,205,363 387,616,090 193,808,045 581,424,136

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