λ
Prime Ledger

3,366,468

22 × 33 × 7 × 61 × 73
Abundant Even Composite

3,366,468 has the prime decomposition 2^2 × 3^3 × 7 × 61 × 73. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,277,120
Proper Divisor Sum 6,910,652
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3366463 ← → #3366497

Radix Representation

Decimal 3366468
Binary 1100110101111001000100 (22 bits)
Octal 0o14657104
Hexadecimal 0x335E44

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 73 84 108 122 126 146 183 189 219 244 252 292 366 378 427 438 511 549 657 732 756 854 876 1,022 1,098 1,281 1,314 1,533 1,647 1,708 1,971 2,044 2,196 2,562 2,628 3,066 3,294 3,843 3,942 4,453 4,599 5,124

Collatz Trajectory (159 steps to reach 1)

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

3,366,468 1,683,234 841,617 2,524,852 1,262,426 631,213 1,893,640 946,820 473,410 236,705 710,116 355,058 177,529 532,588 266,294 133,147 399,442 199,721 599,164 299,582 149,791 449,374 224,687 674,062 337,031 1,011,094 505,547 1,516,642 758,321 2,274,964 1,137,482 568,741 1,706,224 853,112 426,556 213,278 106,639 319,918 159,959 479,878 239,939 719,818 359,909 1,079,728 539,864 269,932 134,966 67,483 202,450 101,225 303,676 151,838 75,919 227,758 113,879 341,638 170,819 512,458 256,229 768,688

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