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Atlas › Integer Profiles › Node 23,215,880

23,215,880

23 × 5 × 17 × 34141
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 34141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,310,040
Proper Divisor Sum 32,094,160
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #23215879 ← → #23215903

Radix Representation

Decimal 23215880
Binary 1011000100011111100001000 (25 bits)
Octal 0o130437410
Hexadecimal 0x1623F08

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 34,141 68,282 136,564 170,705 273,128 341,410 580,397 682,820 1,160,794 1,365,640 2,321,588 2,901,985 4,643,176 5,803,970 11,607,940 23,215,880

Collatz Trajectory (216 steps to reach 1)

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

23,215,880 11,607,940 5,803,970 2,901,985 8,705,956 4,352,978 2,176,489 6,529,468 3,264,734 1,632,367 4,897,102 2,448,551 7,345,654 3,672,827 11,018,482 5,509,241 16,527,724 8,263,862 4,131,931 12,395,794 6,197,897 18,593,692 9,296,846 4,648,423 13,945,270 6,972,635 20,917,906 10,458,953 31,376,860 15,688,430 7,844,215 23,532,646 11,766,323 35,298,970 17,649,485 52,948,456 26,474,228 13,237,114 6,618,557 19,855,672 9,927,836 4,963,918 2,481,959 7,445,878 3,722,939 11,168,818 5,584,409 16,753,228 8,376,614 4,188,307 12,564,922 6,282,461 18,847,384 9,423,692 4,711,846 2,355,923 7,067,770 3,533,885 10,601,656 5,300,828

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