6,167,140

2² × 5 × 7³ × 29 × 31

Starting at 6,167,140, the Collatz iteration reaches 1 after 196 steps. The first transition is 3083570; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^3 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,128,000

Proper Divisor Sum 9,960,860

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6167137 ← → #6167167

Radix Representation

Decimal	6167140
Binary	10111100001101001100100 (23 bits)
Octal	0o27415144
Hexadecimal	0x5E1A64

Divisor Catalog (60 of 96)

1 2 4 5 7 10 14 20 28 29 31 35 49 58 62 70 98 116 124 140 145 155 196 203 217 245 290 310 343 406 434 490 580 620 686 812 868 899 980 1,015 1,085 1,372 1,421 1,519 1,715 1,798 2,030 2,170 2,842 3,038 3,430 3,596 4,060 4,340 4,495 5,684 6,076 6,293 6,860 7,105

Collatz Trajectory (196 steps to reach 1)

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

6,167,140 3,083,570 1,541,785 4,625,356 2,312,678 1,156,339 3,469,018 1,734,509 5,203,528 2,601,764 1,300,882 650,441 1,951,324 975,662 487,831 1,463,494 731,747 2,195,242 1,097,621 3,292,864 1,646,432 823,216 411,608 205,804 102,902 51,451 154,354 77,177 231,532 115,766 57,883 173,650 86,825 260,476 130,238 65,119 195,358 97,679 293,038 146,519 439,558 219,779 659,338 329,669 989,008 494,504 247,252 123,626 61,813 185,440 92,720 46,360 23,180 11,590 5,795 17,386 8,693 26,080 13,040 6,520

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