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Atlas › Integer Profiles › Node 93,096,010

93,096,010

2 × 5 × 7 × 19 × 69997
Abundant Even Composite

93,096,010 factors as 2 × 5 × 7 × 19 × 69997. Its 32 positive divisors give a proper-divisor sum of 108,498,230, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 69997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 201,594,240
Proper Divisor Sum 108,498,230
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #93095999 ← → #93096011

Radix Representation

Decimal 93096010
Binary 101100011001000100001001010 (27 bits)
Octal 0o543104112
Hexadecimal 0x58C884A

Divisor Catalog (32)

1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1,330 69,997 139,994 349,985 489,979 699,970 979,958 1,329,943 2,449,895 2,659,886 4,899,790 6,649,715 9,309,601 13,299,430 18,619,202 46,548,005 93,096,010

Collatz Trajectory (156 steps to reach 1)

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

93,096,010 46,548,005 139,644,016 69,822,008 34,911,004 17,455,502 8,727,751 26,183,254 13,091,627 39,274,882 19,637,441 58,912,324 29,456,162 14,728,081 44,184,244 22,092,122 11,046,061 33,138,184 16,569,092 8,284,546 4,142,273 12,426,820 6,213,410 3,106,705 9,320,116 4,660,058 2,330,029 6,990,088 3,495,044 1,747,522 873,761 2,621,284 1,310,642 655,321 1,965,964 982,982 491,491 1,474,474 737,237 2,211,712 1,105,856 552,928 276,464 138,232 69,116 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488

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