λ
Sequence Observatory

8,506,884

22 × 3 × 708907
Abundant Even Composite

Starting at 8,506,884, the Collatz iteration reaches 1 after 155 steps. The first transition is 4253442; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 708907
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 19,849,424
Proper Divisor Sum 11,342,540
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8506867 ← → #8506907

Radix Representation

Decimal 8506884
Binary 100000011100111000000100 (24 bits)
Octal 0o40347004
Hexadecimal 0x81CE04

Divisor Catalog (12)

1 2 3 4 6 12 708,907 1,417,814 2,126,721 2,835,628 4,253,442 8,506,884

Collatz Trajectory (155 steps to reach 1)

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

8,506,884 4,253,442 2,126,721 6,380,164 3,190,082 1,595,041 4,785,124 2,392,562 1,196,281 3,588,844 1,794,422 897,211 2,691,634 1,345,817 4,037,452 2,018,726 1,009,363 3,028,090 1,514,045 4,542,136 2,271,068 1,135,534 567,767 1,703,302 851,651 2,554,954 1,277,477 3,832,432 1,916,216 958,108 479,054 239,527 718,582 359,291 1,077,874 538,937 1,616,812 808,406 404,203 1,212,610 606,305 1,818,916 909,458 454,729 1,364,188 682,094 341,047 1,023,142 511,571 1,534,714 767,357 2,302,072 1,151,036 575,518 287,759 863,278 431,639 1,294,918 647,459 1,942,378

More profiles

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