6,231,456

2⁵ × 3² × 7 × 11 × 281

Starting at 6,231,456, the Collatz iteration reaches 1 after 165 steps. The first transition is 3115728; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 11 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 22,171,968

Proper Divisor Sum 15,940,512

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6231451 ← → #6231461

Radix Representation

Decimal	6231456
Binary	10111110001010110100000 (23 bits)
Octal	0o27612640
Hexadecimal	0x5F15A0

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 281 288 308 336 352 396 462 504 528 562 616 672 693 792 843 924

Collatz Trajectory (165 steps to reach 1)

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

6,231,456 3,115,728 1,557,864 778,932 389,466 194,733 584,200 292,100 146,050 73,025 219,076 109,538 54,769 164,308 82,154 41,077 123,232 61,616 30,808 15,404 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31

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