λ
Sequence Observatory

4,306,902

2 × 3 × 717817
Abundant Even Composite

Starting at 4,306,902, the Collatz iteration reaches 1 after 242 steps. The first transition is 2153451; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 717817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,613,816
Proper Divisor Sum 4,306,914
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4306891 ← → #4306921

Radix Representation

Decimal 4306902
Binary 10000011011011111010110 (23 bits)
Octal 0o20333726
Hexadecimal 0x41B7D6

Divisor Catalog (8)

1 2 3 6 717,817 1,435,634 2,153,451 4,306,902

Collatz Trajectory (242 steps to reach 1)

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

4,306,902 2,153,451 6,460,354 3,230,177 9,690,532 4,845,266 2,422,633 7,267,900 3,633,950 1,816,975 5,450,926 2,725,463 8,176,390 4,088,195 12,264,586 6,132,293 18,396,880 9,198,440 4,599,220 2,299,610 1,149,805 3,449,416 1,724,708 862,354 431,177 1,293,532 646,766 323,383 970,150 485,075 1,455,226 727,613 2,182,840 1,091,420 545,710 272,855 818,566 409,283 1,227,850 613,925 1,841,776 920,888 460,444 230,222 115,111 345,334 172,667 518,002 259,001 777,004 388,502 194,251 582,754 291,377 874,132 437,066 218,533 655,600 327,800 163,900

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