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Atlas › Integer Profiles › Node 4,458,920

4,458,920

23 × 5 × 19 × 5867
Abundant Even Composite

4,458,920 factors as 2^3 × 5 × 19 × 5867. Its 32 positive divisors give a proper-divisor sum of 6,103,480, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 5867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,562,400
Proper Divisor Sum 6,103,480
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4458919 ← → #4458929

Radix Representation

Decimal 4458920
Binary 10001000000100110101000 (23 bits)
Octal 0o21004650
Hexadecimal 0x4409A8

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 5,867 11,734 23,468 29,335 46,936 58,670 111,473 117,340 222,946 234,680 445,892 557,365 891,784 1,114,730 2,229,460 4,458,920

Collatz Trajectory (149 steps to reach 1)

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

4,458,920 2,229,460 1,114,730 557,365 1,672,096 836,048 418,024 209,012 104,506 52,253 156,760 78,380 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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