6,941,291

7⁶ × 59

Starting at 6,941,291, the Collatz iteration reaches 1 after 235 steps. The first transition is 20823874; the starting value is odd with 14 positive divisors.

Prime Factor Structure

Factorization String 7^6 × 59

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 8,235,420

Proper Divisor Sum 1,294,129

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6941257 ← → #6941293

Radix Representation

Decimal	6941291
Binary	11010011110101001101011 (23 bits)
Octal	0o32365153
Hexadecimal	0x69EA6B

Divisor Catalog (14)

1 7 49 59 343 413 2,401 2,891 16,807 20,237 117,649 141,659 991,613 6,941,291

Collatz Trajectory (235 steps to reach 1)

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

6,941,291 20,823,874 10,411,937 31,235,812 15,617,906 7,808,953 23,426,860 11,713,430 5,856,715 17,570,146 8,785,073 26,355,220 13,177,610 6,588,805 19,766,416 9,883,208 4,941,604 2,470,802 1,235,401 3,706,204 1,853,102 926,551 2,779,654 1,389,827 4,169,482 2,084,741 6,254,224 3,127,112 1,563,556 781,778 390,889 1,172,668 586,334 293,167 879,502 439,751 1,319,254 659,627 1,978,882 989,441 2,968,324 1,484,162 742,081 2,226,244 1,113,122 556,561 1,669,684 834,842 417,421 1,252,264 626,132 313,066 156,533 469,600 234,800 117,400 58,700 29,350 14,675 44,026

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