λ
Sequence Observatory

2,446,536

23 × 3 × 101939
Abundant Even Composite

Starting at 2,446,536, the Collatz iteration reaches 1 after 112 steps. The first transition is 1223268; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 101939
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,116,400
Proper Divisor Sum 3,669,864
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2446529 ← → #2446567

Radix Representation

Decimal 2446536
Binary 1001010101010011001000 (22 bits)
Octal 0o11252310
Hexadecimal 0x2554C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 101,939 203,878 305,817 407,756 611,634 815,512 1,223,268 2,446,536

Collatz Trajectory (112 steps to reach 1)

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

2,446,536 1,223,268 611,634 305,817 917,452 458,726 229,363 688,090 344,045 1,032,136 516,068 258,034 129,017 387,052 193,526 96,763 290,290 145,145 435,436 217,718 108,859 326,578 163,289 489,868 244,934 122,467 367,402 183,701 551,104 275,552 137,776 68,888 34,444 17,222 8,611 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591

More profiles

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