λ
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Atlas › Integer Profiles › Node 4,268,680

4,268,680

23 × 5 × 13 × 8209
Abundant Even Composite

4,268,680 factors as 2^3 × 5 × 13 × 8209. Its 32 positive divisors give a proper-divisor sum of 6,075,920, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 8209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,344,600
Proper Divisor Sum 6,075,920
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4268651 ← → #4268689

Radix Representation

Decimal 4268680
Binary 10000010010001010001000 (23 bits)
Octal 0o20221210
Hexadecimal 0x412288

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8,209 16,418 32,836 41,045 65,672 82,090 106,717 164,180 213,434 328,360 426,868 533,585 853,736 1,067,170 2,134,340 4,268,680

Collatz Trajectory (97 steps to reach 1)

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

4,268,680 2,134,340 1,067,170 533,585 1,600,756 800,378 400,189 1,200,568 600,284 300,142 150,071 450,214 225,107 675,322 337,661 1,012,984 506,492 253,246 126,623 379,870 189,935 569,806 284,903 854,710 427,355 1,282,066 641,033 1,923,100 961,550 480,775 1,442,326 721,163 2,163,490 1,081,745 3,245,236 1,622,618 811,309 2,433,928 1,216,964 608,482 304,241 912,724 456,362 228,181 684,544 342,272 171,136 85,568 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516

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