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Atlas › Integer Profiles › Node 61,652,600

61,652,600

23 × 52 × 308263
Abundant Even Composite

61,652,600 factors as 2^3 × 5^2 × 308263. Its 24 positive divisors give a proper-divisor sum of 81,690,160, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 308263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 143,342,760
Proper Divisor Sum 81,690,160
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #61652593 ← → #61652611

Radix Representation

Decimal 61652600
Binary 11101011001011111001111000 (26 bits)
Octal 0o353137170
Hexadecimal 0x3ACBE78

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 308,263 616,526 1,233,052 1,541,315 2,466,104 3,082,630 6,165,260 7,706,575 12,330,520 15,413,150 30,826,300 61,652,600

Collatz Trajectory (220 steps to reach 1)

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

61,652,600 30,826,300 15,413,150 7,706,575 23,119,726 11,559,863 34,679,590 17,339,795 52,019,386 26,009,693 78,029,080 39,014,540 19,507,270 9,753,635 29,260,906 14,630,453 43,891,360 21,945,680 10,972,840 5,486,420 2,743,210 1,371,605 4,114,816 2,057,408 1,028,704 514,352 257,176 128,588 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867

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