3,418,964

2² × 397 × 2153

Starting at 3,418,964, the Collatz iteration reaches 1 after 102 steps. The first transition is 1709482; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 397 × 2153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,001,044

Proper Divisor Sum 2,582,080

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3418963 ← → #3418981

Radix Representation

Decimal	3418964
Binary	1101000010101101010100 (22 bits)
Octal	0o15025524
Hexadecimal	0x342B54

Divisor Catalog (12)

1 2 4 397 794 1,588 2,153 4,306 8,612 854,741 1,709,482 3,418,964

Collatz Trajectory (102 steps to reach 1)

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

3,418,964 1,709,482 854,741 2,564,224 1,282,112 641,056 320,528 160,264 80,132 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

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