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Atlas › Integer Profiles › Node 4,452,948

4,452,948

22 × 33 × 41231
Abundant Even Composite

4,452,948 factors as 2^2 × 3^3 × 41231. Its 24 positive divisors give a proper-divisor sum of 7,092,012, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,544,960
Proper Divisor Sum 7,092,012
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4452947 ← → #4452953

Radix Representation

Decimal 4452948
Binary 10000111111001001010100 (23 bits)
Octal 0o20771124
Hexadecimal 0x43F254

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 41,231 82,462 123,693 164,924 247,386 371,079 494,772 742,158 1,113,237 1,484,316 2,226,474 4,452,948

Collatz Trajectory (92 steps to reach 1)

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

4,452,948 2,226,474 1,113,237 3,339,712 1,669,856 834,928 417,464 208,732 104,366 52,183 156,550 78,275 234,826 117,413 352,240 176,120 88,060 44,030 22,015 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708

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