3,162,834

2 × 3³ × 37 × 1583

Starting at 3,162,834, the Collatz iteration reaches 1 after 151 steps. The first transition is 1581417; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,223,040

Proper Divisor Sum 4,060,206

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3162829 ← → #3162839

Radix Representation

Decimal	3162834
Binary	1100000100001011010010 (22 bits)
Octal	0o14041322
Hexadecimal	0x3042D2

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,583 1,998 3,166 4,749 9,498 14,247 28,494 42,741 58,571 85,482 117,142 175,713 351,426 527,139 1,054,278 1,581,417 3,162,834

Collatz Trajectory (151 steps to reach 1)

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

3,162,834 1,581,417 4,744,252 2,372,126 1,186,063 3,558,190 1,779,095 5,337,286 2,668,643 8,005,930 4,002,965 12,008,896 6,004,448 3,002,224 1,501,112 750,556 375,278 187,639 562,918 281,459 844,378 422,189 1,266,568 633,284 316,642 158,321 474,964 237,482 118,741 356,224 178,112 89,056 44,528 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347

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