3,390,764

2² × 13 × 197 × 331

Starting at 3,390,764, the Collatz iteration reaches 1 after 133 steps. The first transition is 1695382; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 197 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,442,128

Proper Divisor Sum 3,051,364

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3390763 ← → #3390787

Radix Representation

Decimal	3390764
Binary	1100111011110100101100 (22 bits)
Octal	0o14736454
Hexadecimal	0x33BD2C

Divisor Catalog (24)

1 2 4 13 26 52 197 331 394 662 788 1,324 2,561 4,303 5,122 8,606 10,244 17,212 65,207 130,414 260,828 847,691 1,695,382 3,390,764

Collatz Trajectory (133 steps to reach 1)

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

3,390,764 1,695,382 847,691 2,543,074 1,271,537 3,814,612 1,907,306 953,653 2,860,960 1,430,480 715,240 357,620 178,810 89,405 268,216 134,108 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058

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