6,251,104

2⁵ × 17 × 11491

Starting at 6,251,104, the Collatz iteration reaches 1 after 165 steps. The first transition is 3125552; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 11491

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,031,928

Proper Divisor Sum 6,780,824

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #6251071 ← → #6251117

Radix Representation

Decimal	6251104
Binary	10111110110001001100000 (23 bits)
Octal	0o27661140
Hexadecimal	0x5F6260

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 11,491 22,982 45,964 91,928 183,856 195,347 367,712 390,694 781,388 1,562,776 3,125,552 6,251,104

Collatz Trajectory (165 steps to reach 1)

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

6,251,104 3,125,552 1,562,776 781,388 390,694 195,347 586,042 293,021 879,064 439,532 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31

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