λ
Sequence Observatory

3,273,042

2 × 3 × 31 × 17597
Abundant Even Composite

Starting at 3,273,042, the Collatz iteration reaches 1 after 146 steps. The first transition is 1636521; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 17597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,757,632
Proper Divisor Sum 3,484,590
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3273019 ← → #3273043

Radix Representation

Decimal 3273042
Binary 1100011111000101010010 (22 bits)
Octal 0o14370522
Hexadecimal 0x31F152

Divisor Catalog (16)

1 2 3 6 31 62 93 186 17,597 35,194 52,791 105,582 545,507 1,091,014 1,636,521 3,273,042

Collatz Trajectory (146 steps to reach 1)

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

3,273,042 1,636,521 4,909,564 2,454,782 1,227,391 3,682,174 1,841,087 5,523,262 2,761,631 8,284,894 4,142,447 12,427,342 6,213,671 18,641,014 9,320,507 27,961,522 13,980,761 41,942,284 20,971,142 10,485,571 31,456,714 15,728,357 47,185,072 23,592,536 11,796,268 5,898,134 2,949,067 8,847,202 4,423,601 13,270,804 6,635,402 3,317,701 9,953,104 4,976,552 2,488,276 1,244,138 622,069 1,866,208 933,104 466,552 233,276 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558

More profiles

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