3,389,967

3² × 7² × 7687

Starting at 3,389,967, the Collatz iteration reaches 1 after 252 steps. The first transition is 10169902; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 7687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,696,808

Proper Divisor Sum 2,306,841

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3389959 ← → #3389989

Radix Representation

Decimal	3389967
Binary	1100111011101000001111 (22 bits)
Octal	0o14735017
Hexadecimal	0x33BA0F

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 7,687 23,061 53,809 69,183 161,427 376,663 484,281 1,129,989 3,389,967

Collatz Trajectory (252 steps to reach 1)

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

3,389,967 10,169,902 5,084,951 15,254,854 7,627,427 22,882,282 11,441,141 34,323,424 17,161,712 8,580,856 4,290,428 2,145,214 1,072,607 3,217,822 1,608,911 4,826,734 2,413,367 7,240,102 3,620,051 10,860,154 5,430,077 16,290,232 8,145,116 4,072,558 2,036,279 6,108,838 3,054,419 9,163,258 4,581,629 13,744,888 6,872,444 3,436,222 1,718,111 5,154,334 2,577,167 7,731,502 3,865,751 11,597,254 5,798,627 17,395,882 8,697,941 26,093,824 13,046,912 6,523,456 3,261,728 1,630,864 815,432 407,716 203,858 101,929 305,788 152,894 76,447 229,342 114,671 344,014 172,007 516,022 258,011 774,034

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