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Atlas › Integer Profiles › Node 4,458,918

4,458,918

2 × 3 × 23 × 79 × 409
Abundant Even Composite

4,458,918 factors as 2 × 3 × 23 × 79 × 409. Its 32 positive divisors give a proper-divisor sum of 4,987,482, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 79 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,446,400
Proper Divisor Sum 4,987,482
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4458911 ← → #4458919

Radix Representation

Decimal 4458918
Binary 10001000000100110100110 (23 bits)
Octal 0o21004646
Hexadecimal 0x4409A6

Divisor Catalog (32)

1 2 3 6 23 46 69 79 138 158 237 409 474 818 1,227 1,817 2,454 3,634 5,451 9,407 10,902 18,814 28,221 32,311 56,442 64,622 96,933 193,866 743,153 1,486,306 2,229,459 4,458,918

Collatz Trajectory (211 steps to reach 1)

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

4,458,918 2,229,459 6,688,378 3,344,189 10,032,568 5,016,284 2,508,142 1,254,071 3,762,214 1,881,107 5,643,322 2,821,661 8,464,984 4,232,492 2,116,246 1,058,123 3,174,370 1,587,185 4,761,556 2,380,778 1,190,389 3,571,168 1,785,584 892,792 446,396 223,198 111,599 334,798 167,399 502,198 251,099 753,298 376,649 1,129,948 564,974 282,487 847,462 423,731 1,271,194 635,597 1,906,792 953,396 476,698 238,349 715,048 357,524 178,762 89,381 268,144 134,072 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282

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