λ
Sequence Observatory

1,502,886

2 × 3 × 7 × 11 × 3253
Abundant Even Composite

Starting at 1,502,886, the Collatz iteration reaches 1 after 137 steps. The first transition is 751443; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 3253
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,748,608
Proper Divisor Sum 2,245,722
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1502869 ← → #1502887

Radix Representation

Decimal 1502886
Binary 101101110111010100110 (21 bits)
Octal 0o5567246
Hexadecimal 0x16EEA6

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 3,253 6,506 9,759 19,518 22,771 35,783 45,542 68,313 71,566 107,349 136,626 214,698 250,481 500,962 751,443 1,502,886

Collatz Trajectory (137 steps to reach 1)

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

1,502,886 751,443 2,254,330 1,127,165 3,381,496 1,690,748 845,374 422,687 1,268,062 634,031 1,902,094 951,047 2,853,142 1,426,571 4,279,714 2,139,857 6,419,572 3,209,786 1,604,893 4,814,680 2,407,340 1,203,670 601,835 1,805,506 902,753 2,708,260 1,354,130 677,065 2,031,196 1,015,598 507,799 1,523,398 761,699 2,285,098 1,142,549 3,427,648 1,713,824 856,912 428,456 214,228 107,114 53,557 160,672 80,336 40,168 20,084 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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