3,353,331

3 × 23² × 2113

Starting at 3,353,331, the Collatz iteration reaches 1 after 208 steps. The first transition is 10059994; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 23^2 × 2113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,676,168

Proper Divisor Sum 1,322,837

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3353323 ← → #3353333

Radix Representation

Decimal	3353331
Binary	1100110010101011110011 (22 bits)
Octal	0o14625363
Hexadecimal	0x332AF3

Divisor Catalog (12)

1 3 23 69 529 1,587 2,113 6,339 48,599 145,797 1,117,777 3,353,331

Collatz Trajectory (208 steps to reach 1)

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

3,353,331 10,059,994 5,029,997 15,089,992 7,544,996 3,772,498 1,886,249 5,658,748 2,829,374 1,414,687 4,244,062 2,122,031 6,366,094 3,183,047 9,549,142 4,774,571 14,323,714 7,161,857 21,485,572 10,742,786 5,371,393 16,114,180 8,057,090 4,028,545 12,085,636 6,042,818 3,021,409 9,064,228 4,532,114 2,266,057 6,798,172 3,399,086 1,699,543 5,098,630 2,549,315 7,647,946 3,823,973 11,471,920 5,735,960 2,867,980 1,433,990 716,995 2,150,986 1,075,493 3,226,480 1,613,240 806,620 403,310 201,655 604,966 302,483 907,450 453,725 1,361,176 680,588 340,294 170,147 510,442 255,221 765,664

← Previous Integer #3,353,330 Browse Full Index Next Integer #3,353,332 →