3,441,907

7² × 19 × 3697

Starting at 3,441,907, the Collatz iteration reaches 1 after 221 steps. The first transition is 10325722; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 19 × 3697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,215,720

Proper Divisor Sum 773,813

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3441901 ← → #3441913

Radix Representation

Decimal	3441907
Binary	1101001000010011110011 (22 bits)
Octal	0o15102363
Hexadecimal	0x3484F3

Divisor Catalog (12)

1 7 19 49 133 931 3,697 25,879 70,243 181,153 491,701 3,441,907

Collatz Trajectory (221 steps to reach 1)

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

3,441,907 10,325,722 5,162,861 15,488,584 7,744,292 3,872,146 1,936,073 5,808,220 2,904,110 1,452,055 4,356,166 2,178,083 6,534,250 3,267,125 9,801,376 4,900,688 2,450,344 1,225,172 612,586 306,293 918,880 459,440 229,720 114,860 57,430 28,715 86,146 43,073 129,220 64,610 32,305 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836

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