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Atlas › Integer Profiles › Node 6,454,120

6,454,120

23 × 5 × 317 × 509
Abundant Even Composite

6,454,120 factors as 2^3 × 5 × 317 × 509. Its 32 positive divisors give a proper-divisor sum of 8,142,080, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 317 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,596,200
Proper Divisor Sum 8,142,080
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6454109 ← → #6454121

Radix Representation

Decimal 6454120
Binary 11000100111101101101000 (23 bits)
Octal 0o30475550
Hexadecimal 0x627B68

Divisor Catalog (32)

1 2 4 5 8 10 20 40 317 509 634 1,018 1,268 1,585 2,036 2,536 2,545 3,170 4,072 5,090 6,340 10,180 12,680 20,360 161,353 322,706 645,412 806,765 1,290,824 1,613,530 3,227,060 6,454,120

Collatz Trajectory (196 steps to reach 1)

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

6,454,120 3,227,060 1,613,530 806,765 2,420,296 1,210,148 605,074 302,537 907,612 453,806 226,903 680,710 340,355 1,021,066 510,533 1,531,600 765,800 382,900 191,450 95,725 287,176 143,588 71,794 35,897 107,692 53,846 26,923 80,770 40,385 121,156 60,578 30,289 90,868 45,434 22,717 68,152 34,076 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945

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