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Atlas › Integer Profiles › Node 9,725,832

9,725,832

23 × 35 × 5003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,321,840
Proper Divisor Sum 17,596,008
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9725827 ← → #9725839

Radix Representation

Decimal 9725832
Binary 100101000110011110001000 (24 bits)
Octal 0o45063610
Hexadecimal 0x946788

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,944 5,003 10,006 15,009 20,012 30,018 40,024 45,027 60,036 90,054 120,072 135,081 180,108 270,162 360,216 405,243 540,324 810,486 1,080,648 1,215,729 1,620,972 2,431,458 3,241,944 4,862,916 9,725,832

Collatz Trajectory (194 steps to reach 1)

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

9,725,832 4,862,916 2,431,458 1,215,729 3,647,188 1,823,594 911,797 2,735,392 1,367,696 683,848 341,924 170,962 85,481 256,444 128,222 64,111 192,334 96,167 288,502 144,251 432,754 216,377 649,132 324,566 162,283 486,850 243,425 730,276 365,138 182,569 547,708 273,854 136,927 410,782 205,391 616,174 308,087 924,262 462,131 1,386,394 693,197 2,079,592 1,039,796 519,898 259,949 779,848 389,924 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688

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