426,684

2² × 3 × 31² × 37

426,684 factors as 2^2 × 3 × 31^2 × 37. Its 36 positive divisors give a proper-divisor sum of 629,868, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,056,552

Proper Divisor Sum 629,868

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #426661 ← → #426691

Radix Representation

Decimal	426684
Binary	1101000001010111100 (19 bits)
Octal	0o1501274
Hexadecimal	0x682BC

Divisor Catalog (36)

1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 961 1,147 1,922 2,294 2,883 3,441 3,844 4,588 5,766 6,882 11,532 13,764 35,557 71,114 106,671 142,228 213,342 426,684

Collatz Trajectory (73 steps to reach 1)

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

426,684 213,342 106,671 320,014 160,007 480,022 240,011 720,034 360,017 1,080,052 540,026 270,013 810,040 405,020 202,510 101,255 303,766 151,883 455,650 227,825 683,476 341,738 170,869 512,608 256,304 128,152 64,076 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452

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