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Atlas › Integer Profiles › Node 4,453,520

4,453,520

24 × 5 × 179 × 311
Abundant Even Composite

4,453,520 factors as 2^4 × 5 × 179 × 311. Its 40 positive divisors give a proper-divisor sum of 5,992,240, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 179 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,445,760
Proper Divisor Sum 5,992,240
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4453517 ← → #4453567

Radix Representation

Decimal 4453520
Binary 10000111111010010010000 (23 bits)
Octal 0o20772220
Hexadecimal 0x43F490

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 179 311 358 622 716 895 1,244 1,432 1,555 1,790 2,488 2,864 3,110 3,580 4,976 6,220 7,160 12,440 14,320 24,880 55,669 111,338 222,676 278,345 445,352 556,690 890,704 1,113,380 2,226,760 4,453,520

Collatz Trajectory (118 steps to reach 1)

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

4,453,520 2,226,760 1,113,380 556,690 278,345 835,036 417,518 208,759 626,278 313,139 939,418 469,709 1,409,128 704,564 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711

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