3,839,391

3² × 223 × 1913

Starting at 3,839,391, the Collatz iteration reaches 1 after 208 steps. The first transition is 11518174; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 223 × 1913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,573,568

Proper Divisor Sum 1,734,177

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3839369 ← → #3839417

Radix Representation

Decimal	3839391
Binary	1110101001010110011111 (22 bits)
Octal	0o16512637
Hexadecimal	0x3A959F

Divisor Catalog (12)

1 3 9 223 669 1,913 2,007 5,739 17,217 426,599 1,279,797 3,839,391

Collatz Trajectory (208 steps to reach 1)

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

3,839,391 11,518,174 5,759,087 17,277,262 8,638,631 25,915,894 12,957,947 38,873,842 19,436,921 58,310,764 29,155,382 14,577,691 43,733,074 21,866,537 65,599,612 32,799,806 16,399,903 49,199,710 24,599,855 73,799,566 36,899,783 110,699,350 55,349,675 166,049,026 83,024,513 249,073,540 124,536,770 62,268,385 186,805,156 93,402,578 46,701,289 140,103,868 70,051,934 35,025,967 105,077,902 52,538,951 157,616,854 78,808,427 236,425,282 118,212,641 354,637,924 177,318,962 88,659,481 265,978,444 132,989,222 66,494,611 199,483,834 99,741,917 299,225,752 149,612,876 74,806,438 37,403,219 112,209,658 56,104,829 168,314,488 84,157,244 42,078,622 21,039,311 63,117,934 31,558,967

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