6,144,231

3 × 31 × 66067

Starting at 6,144,231, the Collatz iteration reaches 1 after 258 steps. The first transition is 18432694; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 66067

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,456,704

Proper Divisor Sum 2,312,473

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6144223 ← → #6144247

Radix Representation

Decimal	6144231
Binary	10111011100000011100111 (23 bits)
Octal	0o27340347
Hexadecimal	0x5DC0E7

Divisor Catalog (8)

1 3 31 93 66,067 198,201 2,048,077 6,144,231

Collatz Trajectory (258 steps to reach 1)

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

6,144,231 18,432,694 9,216,347 27,649,042 13,824,521 41,473,564 20,736,782 10,368,391 31,105,174 15,552,587 46,657,762 23,328,881 69,986,644 34,993,322 17,496,661 52,489,984 26,244,992 13,122,496 6,561,248 3,280,624 1,640,312 820,156 410,078 205,039 615,118 307,559 922,678 461,339 1,384,018 692,009 2,076,028 1,038,014 519,007 1,557,022 778,511 2,335,534 1,167,767 3,503,302 1,751,651 5,254,954 2,627,477 7,882,432 3,941,216 1,970,608 985,304 492,652 246,326 123,163 369,490 184,745 554,236 277,118 138,559 415,678 207,839 623,518 311,759 935,278 467,639 1,402,918

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