6,085,224

2³ × 3² × 223 × 379

Starting at 6,085,224, the Collatz iteration reaches 1 after 333 steps. The first transition is 3042612; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 223 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,598,400

Proper Divisor Sum 10,513,176

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6085223 ← → #6085229

Radix Representation

Decimal	6085224
Binary	10111001101101001101000 (23 bits)
Octal	0o27155150
Hexadecimal	0x5CDA68

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 223 379 446 669 758 892 1,137 1,338 1,516 1,784 2,007 2,274 2,676 3,032 3,411 4,014 4,548 5,352 6,822 8,028 9,096 13,644 16,056 27,288 84,517 169,034 253,551 338,068 507,102 676,136 760,653 1,014,204 1,521,306 2,028,408 3,042,612 6,085,224

Collatz Trajectory (333 steps to reach 1)

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

6,085,224 3,042,612 1,521,306 760,653 2,281,960 1,140,980 570,490 285,245 855,736 427,868 213,934 106,967 320,902 160,451 481,354 240,677 722,032 361,016 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115 171,346 85,673 257,020 128,510 64,255 192,766 96,383 289,150 144,575 433,726 216,863 650,590 325,295 975,886 487,943 1,463,830 731,915 2,195,746 1,097,873 3,293,620 1,646,810 823,405 2,470,216 1,235,108 617,554 308,777 926,332 463,166 231,583

← Previous Integer #6,085,223 Browse Full Index Next Integer #6,085,225 →