λ
Sigma Notebook

278,620

22 × 5 × 13931
Abundant Even Composite

278,620 is even and not a perfect square. Its factorization is 2^2 × 5 × 13931 and its 12 divisors sum to 585,144.

Prime Factor Structure

Factorization String 2^2 × 5 × 13931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 585,144
Proper Divisor Sum 306,524
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #278617 ← → #278623

Radix Representation

Decimal 278620
Binary 1000100000001011100 (19 bits)
Octal 0o1040134
Hexadecimal 0x4405C

Divisor Catalog (12)

1 2 4 5 10 20 13,931 27,862 55,724 69,655 139,310 278,620

Collatz Trajectory (176 steps to reach 1)

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

278,620 139,310 69,655 208,966 104,483 313,450 156,725 470,176 235,088 117,544 58,772 29,386 14,693 44,080 22,040 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

More profiles

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