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Atlas › Integer Profiles › Node 62,091,800

62,091,800

23 × 52 × 310459
Abundant Even Composite

62,091,800 factors as 2^3 × 5^2 × 310459. Its 24 positive divisors give a proper-divisor sum of 82,272,100, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 310459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 144,363,900
Proper Divisor Sum 82,272,100
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #62091797 ← → #62091847

Radix Representation

Decimal 62091800
Binary 11101100110111001000011000 (26 bits)
Octal 0o354671030
Hexadecimal 0x3B37218

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 310,459 620,918 1,241,836 1,552,295 2,483,672 3,104,590 6,209,180 7,761,475 12,418,360 15,522,950 31,045,900 62,091,800

Collatz Trajectory (220 steps to reach 1)

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

62,091,800 31,045,900 15,522,950 7,761,475 23,284,426 11,642,213 34,926,640 17,463,320 8,731,660 4,365,830 2,182,915 6,548,746 3,274,373 9,823,120 4,911,560 2,455,780 1,227,890 613,945 1,841,836 920,918 460,459 1,381,378 690,689 2,072,068 1,036,034 518,017 1,554,052 777,026 388,513 1,165,540 582,770 291,385 874,156 437,078 218,539 655,618 327,809 983,428 491,714 245,857 737,572 368,786 184,393 553,180 276,590 138,295 414,886 207,443 622,330 311,165 933,496 466,748 233,374 116,687 350,062 175,031 525,094 262,547 787,642 393,821

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