λ
Sequence Observatory

6,256,998

2 × 32 × 11 × 31601
Abundant Even Composite

Starting at 6,256,998, the Collatz iteration reaches 1 after 134 steps. The first transition is 3128499; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 31601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,789,736
Proper Divisor Sum 8,532,738
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6256993 ← → #6257029

Radix Representation

Decimal 6256998
Binary 10111110111100101100110 (23 bits)
Octal 0o27674546
Hexadecimal 0x5F7966

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 31,601 63,202 94,803 189,606 284,409 347,611 568,818 695,222 1,042,833 2,085,666 3,128,499 6,256,998

Collatz Trajectory (134 steps to reach 1)

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

6,256,998 3,128,499 9,385,498 4,692,749 14,078,248 7,039,124 3,519,562 1,759,781 5,279,344 2,639,672 1,319,836 659,918 329,959 989,878 494,939 1,484,818 742,409 2,227,228 1,113,614 556,807 1,670,422 835,211 2,505,634 1,252,817 3,758,452 1,879,226 939,613 2,818,840 1,409,420 704,710 352,355 1,057,066 528,533 1,585,600 792,800 396,400 198,200 99,100 49,550 24,775 74,326 37,163 111,490 55,745 167,236 83,618 41,809 125,428 62,714 31,357 94,072 47,036 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689

More profiles

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