λ
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Atlas › Integer Profiles › Node 96,876,348

96,876,348

22 × 3 × 59 × 293 × 467
Abundant Even Composite

96,876,348 factors as 2^2 × 3 × 59 × 293 × 467. Its 48 positive divisors give a proper-divisor sum of 134,278,212, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 293 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 231,154,560
Proper Divisor Sum 134,278,212
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #96876347 ← → #96876349

Radix Representation

Decimal 96876348
Binary 101110001100011011100111100 (27 bits)
Octal 0o561433474
Hexadecimal 0x5C6373C

Divisor Catalog (48)

1 2 3 4 6 12 59 118 177 236 293 354 467 586 708 879 934 1,172 1,401 1,758 1,868 2,802 3,516 5,604 17,287 27,553 34,574 51,861 55,106 69,148 82,659 103,722 110,212 136,831 165,318 207,444 273,662 330,636 410,493 547,324 820,986 1,641,972 8,073,029 16,146,058 24,219,087 32,292,116 48,438,174 96,876,348

Collatz Trajectory (231 steps to reach 1)

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

96,876,348 48,438,174 24,219,087 72,657,262 36,328,631 108,985,894 54,492,947 163,478,842 81,739,421 245,218,264 122,609,132 61,304,566 30,652,283 91,956,850 45,978,425 137,935,276 68,967,638 34,483,819 103,451,458 51,725,729 155,177,188 77,588,594 38,794,297 116,382,892 58,191,446 29,095,723 87,287,170 43,643,585 130,930,756 65,465,378 32,732,689 98,198,068 49,099,034 24,549,517 73,648,552 36,824,276 18,412,138 9,206,069 27,618,208 13,809,104 6,904,552 3,452,276 1,726,138 863,069 2,589,208 1,294,604 647,302 323,651 970,954 485,477 1,456,432 728,216 364,108 182,054 91,027 273,082 136,541 409,624 204,812 102,406

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