λ
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Atlas › Integer Profiles › Node 70,067,132

70,067,132

22 × 17 × 29 × 35531
Deficient Even Composite

70,067,132 factors as 2^2 × 17 × 29 × 35531. Its 24 positive divisors give a proper-divisor sum of 64,243,828, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 29 × 35531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 134,310,960
Proper Divisor Sum 64,243,828
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #70067071 ← → #70067191

Radix Representation

Decimal 70067132
Binary 100001011010010001110111100 (27 bits)
Octal 0o413221674
Hexadecimal 0x42D23BC

Divisor Catalog (24)

1 2 4 17 29 34 58 68 116 493 986 1,972 35,531 71,062 142,124 604,027 1,030,399 1,208,054 2,060,798 2,416,108 4,121,596 17,516,783 35,033,566 70,067,132

Collatz Trajectory (233 steps to reach 1)

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

70,067,132 35,033,566 17,516,783 52,550,350 26,275,175 78,825,526 39,412,763 118,238,290 59,119,145 177,357,436 88,678,718 44,339,359 133,018,078 66,509,039 199,527,118 99,763,559 299,290,678 149,645,339 448,936,018 224,468,009 673,404,028 336,702,014 168,351,007 505,053,022 252,526,511 757,579,534 378,789,767 1,136,369,302 568,184,651 1,704,553,954 852,276,977 2,556,830,932 1,278,415,466 639,207,733 1,917,623,200 958,811,600 479,405,800 239,702,900 119,851,450 59,925,725 179,777,176 89,888,588 44,944,294 22,472,147 67,416,442 33,708,221 101,124,664 50,562,332 25,281,166 12,640,583 37,921,750 18,960,875 56,882,626 28,441,313 85,323,940 42,661,970 21,330,985 63,992,956 31,996,478 15,998,239

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