λ
Sigma Notebook

8,680,010

2 × 5 × 311 × 2791
Deficient Even Composite

8,680,010 is even and not a perfect square. Its factorization is 2 × 5 × 311 × 2791 and its 16 divisors sum to 15,679,872.

Prime Factor Structure

Factorization String 2 × 5 × 311 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,679,872
Proper Divisor Sum 6,999,862
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8680003 ← → #8680027

Radix Representation

Decimal 8680010
Binary 100001000111001001001010 (24 bits)
Octal 0o41071112
Hexadecimal 0x84724A

Divisor Catalog (16)

1 2 5 10 311 622 1,555 2,791 3,110 5,582 13,955 27,910 868,001 1,736,002 4,340,005 8,680,010

Collatz Trajectory (119 steps to reach 1)

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

8,680,010 4,340,005 13,020,016 6,510,008 3,255,004 1,627,502 813,751 2,441,254 1,220,627 3,661,882 1,830,941 5,492,824 2,746,412 1,373,206 686,603 2,059,810 1,029,905 3,089,716 1,544,858 772,429 2,317,288 1,158,644 579,322 289,661 868,984 434,492 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605 1,099,816 549,908 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179

More profiles

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