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Atlas › Integer Profiles › Node 4,488,264

4,488,264

23 × 33 × 11 × 1889
Abundant Even Composite

4,488,264 factors as 2^3 × 3^3 × 11 × 1889. Its 64 positive divisors give a proper-divisor sum of 9,119,736, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 1889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,608,000
Proper Divisor Sum 9,119,736
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4488233 ← → #4488271

Radix Representation

Decimal 4488264
Binary 10001000111110001001000 (23 bits)
Octal 0o21076110
Hexadecimal 0x447C48

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 1,889 2,376 3,778 5,667 7,556 11,334 15,112 17,001 20,779 22,668 34,002 41,558 45,336 51,003 62,337 68,004 83,116 102,006 124,674 136,008 166,232 187,011 204,012 249,348 374,022 408,024 498,696 561,033 748,044

Collatz Trajectory (110 steps to reach 1)

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

4,488,264 2,244,132 1,122,066 561,033 1,683,100 841,550 420,775 1,262,326 631,163 1,893,490 946,745 2,840,236 1,420,118 710,059 2,130,178 1,065,089 3,195,268 1,597,634 798,817 2,396,452 1,198,226 599,113 1,797,340 898,670 449,335 1,348,006 674,003 2,022,010 1,011,005 3,033,016 1,516,508 758,254 379,127 1,137,382 568,691 1,706,074 853,037 2,559,112 1,279,556 639,778 319,889 959,668 479,834 239,917 719,752 359,876 179,938 89,969 269,908 134,954 67,477 202,432 101,216 50,608 25,304 12,652 6,326 3,163 9,490 4,745

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