λ
Sequence Observatory

3,167,706

2 × 3 × 472 × 239
Abundant Even Composite

Starting at 3,167,706, the Collatz iteration reaches 1 after 71 steps. The first transition is 1583853; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 47^2 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,500,160
Proper Divisor Sum 3,332,454
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3167687 ← → #3167707

Radix Representation

Decimal 3167706
Binary 1100000101010111011010 (22 bits)
Octal 0o14052732
Hexadecimal 0x3055DA

Divisor Catalog (24)

1 2 3 6 47 94 141 239 282 478 717 1,434 2,209 4,418 6,627 11,233 13,254 22,466 33,699 67,398 527,951 1,055,902 1,583,853 3,167,706

Collatz Trajectory (71 steps to reach 1)

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

3,167,706 1,583,853 4,751,560 2,375,780 1,187,890 593,945 1,781,836 890,918 445,459 1,336,378 668,189 2,004,568 1,002,284 501,142 250,571 751,714 375,857 1,127,572 563,786 281,893 845,680 422,840 211,420 105,710 52,855 158,566 79,283 237,850 118,925 356,776 178,388 89,194 44,597 133,792 66,896 33,448 16,724 8,362 4,181 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

More profiles

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