λ
Sequence Observatory

1,401,612

22 × 3 × 271 × 431
Abundant Even Composite

Starting at 1,401,612, the Collatz iteration reaches 1 after 106 steps. The first transition is 700806; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 271 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,290,112
Proper Divisor Sum 1,888,500
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1401607 ← → #1401613

Radix Representation

Decimal 1401612
Binary 101010110001100001100 (21 bits)
Octal 0o5261414
Hexadecimal 0x15630C

Divisor Catalog (24)

1 2 3 4 6 12 271 431 542 813 862 1,084 1,293 1,626 1,724 2,586 3,252 5,172 116,801 233,602 350,403 467,204 700,806 1,401,612

Collatz Trajectory (106 steps to reach 1)

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

1,401,612 700,806 350,403 1,051,210 525,605 1,576,816 788,408 394,204 197,102 98,551 295,654 147,827 443,482 221,741 665,224 332,612 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

More profiles

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