λ
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Atlas › Integer Profiles › Node 70,083,832

70,083,832

23 × 7 × 13 × 96269
Abundant Even Composite

70,083,832 factors as 2^3 × 7 × 13 × 96269. Its 32 positive divisors give a proper-divisor sum of 91,649,768, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 96269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 161,733,600
Proper Divisor Sum 91,649,768
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #70083803 ← → #70083841

Radix Representation

Decimal 70083832
Binary 100001011010110010011111000 (27 bits)
Octal 0o413262370
Hexadecimal 0x42D64F8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 96,269 192,538 385,076 673,883 770,152 1,251,497 1,347,766 2,502,994 2,695,532 5,005,988 5,391,064 8,760,479 10,011,976 17,520,958 35,041,916 70,083,832

Collatz Trajectory (202 steps to reach 1)

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

70,083,832 35,041,916 17,520,958 8,760,479 26,281,438 13,140,719 39,422,158 19,711,079 59,133,238 29,566,619 88,699,858 44,349,929 133,049,788 66,524,894 33,262,447 99,787,342 49,893,671 149,681,014 74,840,507 224,521,522 112,260,761 336,782,284 168,391,142 84,195,571 252,586,714 126,293,357 378,880,072 189,440,036 94,720,018 47,360,009 142,080,028 71,040,014 35,520,007 106,560,022 53,280,011 159,840,034 79,920,017 239,760,052 119,880,026 59,940,013 179,820,040 89,910,020 44,955,010 22,477,505 67,432,516 33,716,258 16,858,129 50,574,388 25,287,194 12,643,597 37,930,792 18,965,396 9,482,698 4,741,349 14,224,048 7,112,024 3,556,012 1,778,006 889,003 2,667,010

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