746,343

3² × 13 × 6379

Starting at 746,343, the Collatz iteration reaches 1 after 167 steps. The first transition is 2239030; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 6379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,161,160

Proper Divisor Sum 414,817

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #746329 ← → #746353

Radix Representation

Decimal	746343
Binary	10110110001101100111 (20 bits)
Octal	0o2661547
Hexadecimal	0xB6367

Divisor Catalog (12)

1 3 9 13 39 117 6,379 19,137 57,411 82,927 248,781 746,343

Collatz Trajectory (167 steps to reach 1)

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

746,343 2,239,030 1,119,515 3,358,546 1,679,273 5,037,820 2,518,910 1,259,455 3,778,366 1,889,183 5,667,550 2,833,775 8,501,326 4,250,663 12,751,990 6,375,995 19,127,986 9,563,993 28,691,980 14,345,990 7,172,995 21,518,986 10,759,493 32,278,480 16,139,240 8,069,620 4,034,810 2,017,405 6,052,216 3,026,108 1,513,054 756,527 2,269,582 1,134,791 3,404,374 1,702,187 5,106,562 2,553,281 7,659,844 3,829,922 1,914,961 5,744,884 2,872,442 1,436,221 4,308,664 2,154,332 1,077,166 538,583 1,615,750 807,875 2,423,626 1,211,813 3,635,440 1,817,720 908,860 454,430 227,215 681,646 340,823 1,022,470

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