6,440,355

3² × 5 × 167 × 857

Starting at 6,440,355, the Collatz iteration reaches 1 after 116 steps. The first transition is 19321066; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 167 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,243,232

Proper Divisor Sum 4,802,877

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6440351 ← → #6440359

Radix Representation

Decimal	6440355
Binary	11000100100010110100011 (23 bits)
Octal	0o30442643
Hexadecimal	0x6245A3

Divisor Catalog (24)

1 3 5 9 15 45 167 501 835 857 1,503 2,505 2,571 4,285 7,515 7,713 12,855 38,565 143,119 429,357 715,595 1,288,071 2,146,785 6,440,355

Collatz Trajectory (116 steps to reach 1)

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

6,440,355 19,321,066 9,660,533 28,981,600 14,490,800 7,245,400 3,622,700 1,811,350 905,675 2,717,026 1,358,513 4,075,540 2,037,770 1,018,885 3,056,656 1,528,328 764,164 382,082 191,041 573,124 286,562 143,281 429,844 214,922 107,461 322,384 161,192 80,596 40,298 20,149 60,448 30,224 15,112 7,556 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138

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