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Atlas › Integer Profiles › Node 23,965,010

23,965,010

2 × 5 × 53 × 103 × 439
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 53 × 103 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,478,720
Proper Divisor Sum 20,513,710
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23964979 ← → #23965013

Radix Representation

Decimal 23965010
Binary 1011011011010110101010010 (25 bits)
Octal 0o133326522
Hexadecimal 0x16DAD52

Divisor Catalog (32)

1 2 5 10 53 103 106 206 265 439 515 530 878 1,030 2,195 4,390 5,459 10,918 23,267 27,295 45,217 46,534 54,590 90,434 116,335 226,085 232,670 452,170 2,396,501 4,793,002 11,982,505 23,965,010

Collatz Trajectory (172 steps to reach 1)

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

23,965,010 11,982,505 35,947,516 17,973,758 8,986,879 26,960,638 13,480,319 40,440,958 20,220,479 60,661,438 30,330,719 90,992,158 45,496,079 136,488,238 68,244,119 204,732,358 102,366,179 307,098,538 153,549,269 460,647,808 230,323,904 115,161,952 57,580,976 28,790,488 14,395,244 7,197,622 3,598,811 10,796,434 5,398,217 16,194,652 8,097,326 4,048,663 12,145,990 6,072,995 18,218,986 9,109,493 27,328,480 13,664,240 6,832,120 3,416,060 1,708,030 854,015 2,562,046 1,281,023 3,843,070 1,921,535 5,764,606 2,882,303 8,646,910 4,323,455 12,970,366 6,485,183 19,455,550 9,727,775 29,183,326 14,591,663 43,774,990 21,887,495 65,662,486 32,831,243

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