507,426

2 × 3 × 23 × 3677

507,426 has digital root 6. The neighboring primes are 507421 and 507431; its proper-divisor sum differs from the starting integer by 44,412.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 3677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,059,264

Proper Divisor Sum 551,838

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #507421 ← → #507431

Radix Representation

Decimal	507426
Binary	1111011111000100010 (19 bits)
Octal	0o1737042
Hexadecimal	0x7BE22

Divisor Catalog (16)

1 2 3 6 23 46 69 138 3,677 7,354 11,031 22,062 84,571 169,142 253,713 507,426

Collatz Trajectory (226 steps to reach 1)

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

507,426 253,713 761,140 380,570 190,285 570,856 285,428 142,714 71,357 214,072 107,036 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464

← Previous Integer #507,425 Browse Full Index Next Integer #507,427 →