6,357,324

2² × 3 × 19 × 27883

Starting at 6,357,324, the Collatz iteration reaches 1 after 152 steps. The first transition is 3178662; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 27883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,615,040

Proper Divisor Sum 9,257,716

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6357317 ← → #6357331

Radix Representation

Decimal	6357324
Binary	11000010000000101001100 (23 bits)
Octal	0o30200514
Hexadecimal	0x61014C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 27,883 55,766 83,649 111,532 167,298 334,596 529,777 1,059,554 1,589,331 2,119,108 3,178,662 6,357,324

Collatz Trajectory (152 steps to reach 1)

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

6,357,324 3,178,662 1,589,331 4,767,994 2,383,997 7,151,992 3,575,996 1,787,998 893,999 2,681,998 1,340,999 4,022,998 2,011,499 6,034,498 3,017,249 9,051,748 4,525,874 2,262,937 6,788,812 3,394,406 1,697,203 5,091,610 2,545,805 7,637,416 3,818,708 1,909,354 954,677 2,864,032 1,432,016 716,008 358,004 179,002 89,501 268,504 134,252 67,126 33,563 100,690 50,345 151,036 75,518 37,759 113,278 56,639 169,918 84,959 254,878 127,439 382,318 191,159 573,478 286,739 860,218 430,109 1,290,328 645,164 322,582 161,291 483,874 241,937

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