λ
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Atlas › Integer Profiles › Node 96,859,630

96,859,630

2 × 5 × 7 × 41 × 33749
Abundant Even Composite

96,859,630 factors as 2 × 5 × 7 × 41 × 33749. Its 32 positive divisors give a proper-divisor sum of 107,260,370, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 41 × 33749
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 204,120,000
Proper Divisor Sum 107,260,370
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #96859619 ← → #96859639

Radix Representation

Decimal 96859630
Binary 101110001011111010111101110 (27 bits)
Octal 0o561372756
Hexadecimal 0x5C5F5EE

Divisor Catalog (32)

1 2 5 7 10 14 35 41 70 82 205 287 410 574 1,435 2,870 33,749 67,498 168,745 236,243 337,490 472,486 1,181,215 1,383,709 2,362,430 2,767,418 6,918,545 9,685,963 13,837,090 19,371,926 48,429,815 96,859,630

Collatz Trajectory (231 steps to reach 1)

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

96,859,630 48,429,815 145,289,446 72,644,723 217,934,170 108,967,085 326,901,256 163,450,628 81,725,314 40,862,657 122,587,972 61,293,986 30,646,993 91,940,980 45,970,490 22,985,245 68,955,736 34,477,868 17,238,934 8,619,467 25,858,402 12,929,201 38,787,604 19,393,802 9,696,901 29,090,704 14,545,352 7,272,676 3,636,338 1,818,169 5,454,508 2,727,254 1,363,627 4,090,882 2,045,441 6,136,324 3,068,162 1,534,081 4,602,244 2,301,122 1,150,561 3,451,684 1,725,842 862,921 2,588,764 1,294,382 647,191 1,941,574 970,787 2,912,362 1,456,181 4,368,544 2,184,272 1,092,136 546,068 273,034 136,517 409,552 204,776 102,388

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