λ
Sequence Observatory

1,427,730

2 × 3 × 5 × 47591
Abundant Even Composite

Starting at 1,427,730, the Collatz iteration reaches 1 after 124 steps. The first transition is 713865; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,426,624
Proper Divisor Sum 1,998,894
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1427707 ← → #1427737

Radix Representation

Decimal 1427730
Binary 101011100100100010010 (21 bits)
Octal 0o5344422
Hexadecimal 0x15C912

Divisor Catalog (16)

1 2 3 5 6 10 15 30 47,591 95,182 142,773 237,955 285,546 475,910 713,865 1,427,730

Collatz Trajectory (124 steps to reach 1)

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

1,427,730 713,865 2,141,596 1,070,798 535,399 1,606,198 803,099 2,409,298 1,204,649 3,613,948 1,806,974 903,487 2,710,462 1,355,231 4,065,694 2,032,847 6,098,542 3,049,271 9,147,814 4,573,907 13,721,722 6,860,861 20,582,584 10,291,292 5,145,646 2,572,823 7,718,470 3,859,235 11,577,706 5,788,853 17,366,560 8,683,280 4,341,640 2,170,820 1,085,410 542,705 1,628,116 814,058 407,029 1,221,088 610,544 305,272 152,636 76,318 38,159 114,478 57,239 171,718 85,859 257,578 128,789 386,368 193,184 96,592 48,296 24,148 12,074 6,037 18,112 9,056

More profiles

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