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Atlas › Integer Profiles › Node 6,000,636

6,000,636

22 × 3 × 71 × 7043
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,200,704
Proper Divisor Sum 8,200,068
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6000619 ← → #6000641

Radix Representation

Decimal 6000636
Binary 10110111000111111111100 (23 bits)
Octal 0o26707774
Hexadecimal 0x5B8FFC

Divisor Catalog (24)

1 2 3 4 6 12 71 142 213 284 426 852 7,043 14,086 21,129 28,172 42,258 84,516 500,053 1,000,106 1,500,159 2,000,212 3,000,318 6,000,636

Collatz Trajectory (258 steps to reach 1)

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

6,000,636 3,000,318 1,500,159 4,500,478 2,250,239 6,750,718 3,375,359 10,126,078 5,063,039 15,189,118 7,594,559 22,783,678 11,391,839 34,175,518 17,087,759 51,263,278 25,631,639 76,894,918 38,447,459 115,342,378 57,671,189 173,013,568 86,506,784 43,253,392 21,626,696 10,813,348 5,406,674 2,703,337 8,110,012 4,055,006 2,027,503 6,082,510 3,041,255 9,123,766 4,561,883 13,685,650 6,842,825 20,528,476 10,264,238 5,132,119 15,396,358 7,698,179 23,094,538 11,547,269 34,641,808 17,320,904 8,660,452 4,330,226 2,165,113 6,495,340 3,247,670 1,623,835 4,871,506 2,435,753 7,307,260 3,653,630 1,826,815 5,480,446 2,740,223 8,220,670

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