420,567

3 × 7² × 2861

420,567 has the prime decomposition 3 × 7^2 × 2861. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 2861

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 652,536

Proper Divisor Sum 231,969

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #420557 ← → #420569

Radix Representation

Decimal	420567
Binary	1100110101011010111 (19 bits)
Octal	0o1465327
Hexadecimal	0x66AD7

Divisor Catalog (12)

1 3 7 21 49 147 2,861 8,583 20,027 60,081 140,189 420,567

Collatz Trajectory (218 steps to reach 1)

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

420,567 1,261,702 630,851 1,892,554 946,277 2,838,832 1,419,416 709,708 354,854 177,427 532,282 266,141 798,424 399,212 199,606 99,803 299,410 149,705 449,116 224,558 112,279 336,838 168,419 505,258 252,629 757,888 378,944 189,472 94,736 47,368 23,684 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 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

← Previous Integer #420,566 Browse Full Index Next Integer #420,568 →