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Atlas › Integer Profiles › Node 2,317,808

2,317,808

24 × 31 × 4673
Abundant Even Composite

2,317,808 factors as 2^4 × 31 × 4673. Its 20 positive divisors give a proper-divisor sum of 2,318,800, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 4673
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,636,608
Proper Divisor Sum 2,318,800
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2317807 ← → #2317811

Radix Representation

Decimal 2317808
Binary 1000110101110111110000 (22 bits)
Octal 0o10656760
Hexadecimal 0x235DF0

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 4,673 9,346 18,692 37,384 74,768 144,863 289,726 579,452 1,158,904 2,317,808

Collatz Trajectory (148 steps to reach 1)

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

2,317,808 1,158,904 579,452 289,726 144,863 434,590 217,295 651,886 325,943 977,830 488,915 1,466,746 733,373 2,200,120 1,100,060 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356 928,178 464,089 1,392,268 696,134 348,067 1,044,202 522,101 1,566,304 783,152 391,576 195,788 97,894 48,947 146,842 73,421 220,264 110,132 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412

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