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Atlas › Integer Profiles › Node 4,451,300

4,451,300

22 × 52 × 7 × 6359
Abundant Even Composite

4,451,300 factors as 2^2 × 5^2 × 7 × 6359. Its 36 positive divisors give a proper-divisor sum of 6,589,660, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 6359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,040,960
Proper Divisor Sum 6,589,660
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4451299 ← → #4451309

Radix Representation

Decimal 4451300
Binary 10000111110101111100100 (23 bits)
Octal 0o20765744
Hexadecimal 0x43EBE4

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 6,359 12,718 25,436 31,795 44,513 63,590 89,026 127,180 158,975 178,052 222,565 317,950 445,130 635,900 890,260 1,112,825 2,225,650 4,451,300

Collatz Trajectory (180 steps to reach 1)

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

4,451,300 2,225,650 1,112,825 3,338,476 1,669,238 834,619 2,503,858 1,251,929 3,755,788 1,877,894 938,947 2,816,842 1,408,421 4,225,264 2,112,632 1,056,316 528,158 264,079 792,238 396,119 1,188,358 594,179 1,782,538 891,269 2,673,808 1,336,904 668,452 334,226 167,113 501,340 250,670 125,335 376,006 188,003 564,010 282,005 846,016 423,008 211,504 105,752 52,876 26,438 13,219 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785

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