λ
Sigma Notebook

690,570

2 × 32 × 5 × 7673
Abundant Even Composite

690,570 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 7673 and its 24 divisors sum to 1,795,716.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,795,716
Proper Divisor Sum 1,105,146
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #690553 ← → #690583

Radix Representation

Decimal 690570
Binary 10101000100110001010 (20 bits)
Octal 0o2504612
Hexadecimal 0xA898A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 7,673 15,346 23,019 38,365 46,038 69,057 76,730 115,095 138,114 230,190 345,285 690,570

Collatz Trajectory (61 steps to reach 1)

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

690,570 345,285 1,035,856 517,928 258,964 129,482 64,741 194,224 97,112 48,556 24,278 12,139 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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