λ
Sigma Notebook

252,678

2 × 3 × 23 × 1831
Abundant Even Composite

252,678 is even and not a perfect square. Its factorization is 2 × 3 × 23 × 1831 and its 16 divisors sum to 527,616.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 527,616
Proper Divisor Sum 274,938
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #252667 ← → #252691

Radix Representation

Decimal 252678
Binary 111101101100000110 (18 bits)
Octal 0o755406
Hexadecimal 0x3DB06

Divisor Catalog (16)

1 2 3 6 23 46 69 138 1,831 3,662 5,493 10,986 42,113 84,226 126,339 252,678

Collatz Trajectory (194 steps to reach 1)

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

252,678 126,339 379,018 189,509 568,528 284,264 142,132 71,066 35,533 106,600 53,300 26,650 13,325 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820

More profiles

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