6,913,160

2³ × 5 × 172829

Starting at 6,913,160, the Collatz iteration reaches 1 after 191 steps. The first transition is 3456580; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 172829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,554,700

Proper Divisor Sum 8,641,540

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6913141 ← → #6913171

Radix Representation

Decimal	6913160
Binary	11010010111110010001000 (23 bits)
Octal	0o32276210
Hexadecimal	0x697C88

Divisor Catalog (16)

1 2 4 5 8 10 20 40 172,829 345,658 691,316 864,145 1,382,632 1,728,290 3,456,580 6,913,160

Collatz Trajectory (191 steps to reach 1)

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

6,913,160 3,456,580 1,728,290 864,145 2,592,436 1,296,218 648,109 1,944,328 972,164 486,082 243,041 729,124 364,562 182,281 546,844 273,422 136,711 410,134 205,067 615,202 307,601 922,804 461,402 230,701 692,104 346,052 173,026 86,513 259,540 129,770 64,885 194,656 97,328 48,664 24,332 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 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

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