6,830,140

2² × 5 × 341507

Starting at 6,830,140, the Collatz iteration reaches 1 after 129 steps. The first transition is 3415070; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 341507

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,343,336

Proper Divisor Sum 7,513,196

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6830111 ← → #6830143

Radix Representation

Decimal	6830140
Binary	11010000011100000111100 (23 bits)
Octal	0o32034074
Hexadecimal	0x68383C

Divisor Catalog (12)

1 2 4 5 10 20 341,507 683,014 1,366,028 1,707,535 3,415,070 6,830,140

Collatz Trajectory (129 steps to reach 1)

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

6,830,140 3,415,070 1,707,535 5,122,606 2,561,303 7,683,910 3,841,955 11,525,866 5,762,933 17,288,800 8,644,400 4,322,200 2,161,100 1,080,550 540,275 1,620,826 810,413 2,431,240 1,215,620 607,810 303,905 911,716 455,858 227,929 683,788 341,894 170,947 512,842 256,421 769,264 384,632 192,316 96,158 48,079 144,238 72,119 216,358 108,179 324,538 162,269 486,808 243,404 121,702 60,851 182,554 91,277 273,832 136,916 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222

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