λ
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Atlas › Integer Profiles › Node 62,022,340

62,022,340

22 × 5 × 41 × 43 × 1759
Abundant Even Composite

62,022,340 factors as 2^2 × 5 × 41 × 43 × 1759. Its 48 positive divisors give a proper-divisor sum of 74,581,820, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 43 × 1759
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 136,604,160
Proper Divisor Sum 74,581,820
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #62022313 ← → #62022361

Radix Representation

Decimal 62022340
Binary 11101100100110001011000100 (26 bits)
Octal 0o354461304
Hexadecimal 0x3B262C4

Divisor Catalog (48)

1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1,759 1,763 3,518 3,526 7,036 7,052 8,795 8,815 17,590 17,630 35,180 35,260 72,119 75,637 144,238 151,274 288,476 302,548 360,595 378,185 721,190 756,370 1,442,380 1,512,740 3,101,117 6,202,234 12,404,468 15,505,585 31,011,170 62,022,340

Collatz Trajectory (132 steps to reach 1)

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

62,022,340 31,011,170 15,505,585 46,516,756 23,258,378 11,629,189 34,887,568 17,443,784 8,721,892 4,360,946 2,180,473 6,541,420 3,270,710 1,635,355 4,906,066 2,453,033 7,359,100 3,679,550 1,839,775 5,519,326 2,759,663 8,278,990 4,139,495 12,418,486 6,209,243 18,627,730 9,313,865 27,941,596 13,970,798 6,985,399 20,956,198 10,478,099 31,434,298 15,717,149 47,151,448 23,575,724 11,787,862 5,893,931 17,681,794 8,840,897 26,522,692 13,261,346 6,630,673 19,892,020 9,946,010 4,973,005 14,919,016 7,459,508 3,729,754 1,864,877 5,594,632 2,797,316 1,398,658 699,329 2,097,988 1,048,994 524,497 1,573,492 786,746 393,373

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