3,674,902

2 × 7³ × 11 × 487

Starting at 3,674,902, the Collatz iteration reaches 1 after 172 steps. The first transition is 1837451; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^3 × 11 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,027,200

Proper Divisor Sum 3,352,298

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3674897 ← → #3674911

Radix Representation

Decimal	3674902
Binary	1110000001001100010110 (22 bits)
Octal	0o16011426
Hexadecimal	0x381316

Divisor Catalog (32)

1 2 7 11 14 22 49 77 98 154 343 487 539 686 974 1,078 3,409 3,773 5,357 6,818 7,546 10,714 23,863 37,499 47,726 74,998 167,041 262,493 334,082 524,986 1,837,451 3,674,902

Collatz Trajectory (172 steps to reach 1)

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

3,674,902 1,837,451 5,512,354 2,756,177 8,268,532 4,134,266 2,067,133 6,201,400 3,100,700 1,550,350 775,175 2,325,526 1,162,763 3,488,290 1,744,145 5,232,436 2,616,218 1,308,109 3,924,328 1,962,164 981,082 490,541 1,471,624 735,812 367,906 183,953 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314

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