λ
Sequence Observatory

8,197,368

23 × 3 × 341557
Abundant Even Composite

Starting at 8,197,368, the Collatz iteration reaches 1 after 261 steps. The first transition is 4098684; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 341557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,493,480
Proper Divisor Sum 12,296,112
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8197339 ← → #8197381

Radix Representation

Decimal 8197368
Binary 11111010001010011111000 (23 bits)
Octal 0o37212370
Hexadecimal 0x7D14F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 341,557 683,114 1,024,671 1,366,228 2,049,342 2,732,456 4,098,684 8,197,368

Collatz Trajectory (261 steps to reach 1)

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

8,197,368 4,098,684 2,049,342 1,024,671 3,074,014 1,537,007 4,611,022 2,305,511 6,916,534 3,458,267 10,374,802 5,187,401 15,562,204 7,781,102 3,890,551 11,671,654 5,835,827 17,507,482 8,753,741 26,261,224 13,130,612 6,565,306 3,282,653 9,847,960 4,923,980 2,461,990 1,230,995 3,692,986 1,846,493 5,539,480 2,769,740 1,384,870 692,435 2,077,306 1,038,653 3,115,960 1,557,980 778,990 389,495 1,168,486 584,243 1,752,730 876,365 2,629,096 1,314,548 657,274 328,637 985,912 492,956 246,478 123,239 369,718 184,859 554,578 277,289 831,868 415,934 207,967 623,902 311,951

More profiles

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