6,931,491

3 × 7² × 61 × 773

Starting at 6,931,491, the Collatz iteration reaches 1 after 191 steps. The first transition is 20794474; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 61 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,941,264

Proper Divisor Sum 4,009,773

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6931481 ← → #6931511

Radix Representation

Decimal	6931491
Binary	11010011100010000100011 (23 bits)
Octal	0o32342043
Hexadecimal	0x69C423

Divisor Catalog (24)

1 3 7 21 49 61 147 183 427 773 1,281 2,319 2,989 5,411 8,967 16,233 37,877 47,153 113,631 141,459 330,071 990,213 2,310,497 6,931,491

Collatz Trajectory (191 steps to reach 1)

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

6,931,491 20,794,474 10,397,237 31,191,712 15,595,856 7,797,928 3,898,964 1,949,482 974,741 2,924,224 1,462,112 731,056 365,528 182,764 91,382 45,691 137,074 68,537 205,612 102,806 51,403 154,210 77,105 231,316 115,658 57,829 173,488 86,744 43,372 21,686 10,843 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973

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