342,252

2² × 3³ × 3169

342,252 factors as 2^2 × 3^3 × 3169. Its 24 positive divisors give a proper-divisor sum of 545,348, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 3169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 887,600

Proper Divisor Sum 545,348

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #342241 ← → #342257

Radix Representation

Decimal	342252
Binary	1010011100011101100 (19 bits)
Octal	0o1234354
Hexadecimal	0x538EC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 3,169 6,338 9,507 12,676 19,014 28,521 38,028 57,042 85,563 114,084 171,126 342,252

Collatz Trajectory (153 steps to reach 1)

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

342,252 171,126 85,563 256,690 128,345 385,036 192,518 96,259 288,778 144,389 433,168 216,584 108,292 54,146 27,073 81,220 40,610 20,305 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #342,251 Browse Full Index Next Integer #342,253 →