427,692

2² × 3 × 29 × 1229

427,692 has digital root 3. The neighboring primes are 427681 and 427711; its proper-divisor sum differs from the starting integer by 177,816.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,033,200

Proper Divisor Sum 605,508

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #427681 ← → #427711

Radix Representation

Decimal	427692
Binary	1101000011010101100 (19 bits)
Octal	0o1503254
Hexadecimal	0x686AC

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 1,229 2,458 3,687 4,916 7,374 14,748 35,641 71,282 106,923 142,564 213,846 427,692

Collatz Trajectory (81 steps to reach 1)

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

427,692 213,846 106,923 320,770 160,385 481,156 240,578 120,289 360,868 180,434 90,217 270,652 135,326 67,663 202,990 101,495 304,486 152,243 456,730 228,365 685,096 342,548 171,274 85,637 256,912 128,456 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76

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