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Atlas › Integer Profiles › Node 61,301,418

61,301,418

2 × 3 × 29 × 571 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 29 × 571 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 127,258,560
Proper Divisor Sum 65,957,142
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #61301411 ← → #61301419

Radix Representation

Decimal 61301418
Binary 11101001110110001010101010 (26 bits)
Octal 0o351661252
Hexadecimal 0x3A762AA

Divisor Catalog (32)

1 2 3 6 29 58 87 174 571 617 1,142 1,234 1,713 1,851 3,426 3,702 16,559 17,893 33,118 35,786 49,677 53,679 99,354 107,358 352,307 704,614 1,056,921 2,113,842 10,216,903 20,433,806 30,650,709 61,301,418

Collatz Trajectory (52 steps to reach 1)

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

61,301,418 30,650,709 91,952,128 45,976,064 22,988,032 11,494,016 5,747,008 2,873,504 1,436,752 718,376 359,188 179,594 89,797 269,392 134,696 67,348 33,674 16,837 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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