429,260

2² × 5 × 13² × 127

429,260 factors as 2^2 × 5 × 13^2 × 127. Its 36 positive divisors give a proper-divisor sum of 554,548, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 983,808

Proper Divisor Sum 554,548

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #429259 ← → #429271

Radix Representation

Decimal	429260
Binary	1101000110011001100 (19 bits)
Octal	0o1506314
Hexadecimal	0x68CCC

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 127 130 169 254 260 338 508 635 676 845 1,270 1,651 1,690 2,540 3,302 3,380 6,604 8,255 16,510 21,463 33,020 42,926 85,852 107,315 214,630 429,260

Collatz Trajectory (81 steps to reach 1)

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

429,260 214,630 107,315 321,946 160,973 482,920 241,460 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76

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