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Atlas › Integer Profiles › Node 6,313,482

6,313,482

2 × 32 × 7 × 89 × 563
Abundant Even Composite

6,313,482 factors as 2 × 3^2 × 7 × 89 × 563. Its 48 positive divisors give a proper-divisor sum of 9,523,638, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 89 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,837,120
Proper Divisor Sum 9,523,638
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6313481 ← → #6313493

Radix Representation

Decimal 6313482
Binary 11000000101011000001010 (23 bits)
Octal 0o30053012
Hexadecimal 0x60560A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 563 623 801 1,126 1,246 1,602 1,689 1,869 3,378 3,738 3,941 5,067 5,607 7,882 10,134 11,214 11,823 23,646 35,469 50,107 70,938 100,214 150,321 300,642 350,749 450,963 701,498 901,926 1,052,247 2,104,494 3,156,741 6,313,482

Collatz Trajectory (165 steps to reach 1)

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

6,313,482 3,156,741 9,470,224 4,735,112 2,367,556 1,183,778 591,889 1,775,668 887,834 443,917 1,331,752 665,876 332,938 166,469 499,408 249,704 124,852 62,426 31,213 93,640 46,820 23,410 11,705 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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