λ
Sigma Notebook

4,468,344

23 × 3 × 19 × 41 × 239
Abundant Even Composite

4,468,344 is even and not a perfect square. Its factorization is 2^3 × 3 × 19 × 41 × 239 and its 64 divisors sum to 12,096,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 41 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,096,000
Proper Divisor Sum 7,627,656
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4468339 ← → #4468351

Radix Representation

Decimal 4468344
Binary 10001000010111001111000 (23 bits)
Octal 0o21027170
Hexadecimal 0x442E78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 239 246 328 456 478 492 717 779 956 984 1,434 1,558 1,912 2,337 2,868 3,116 4,541 4,674 5,736 6,232 9,082 9,348 9,799 13,623 18,164 18,696 19,598 27,246 29,397 36,328 39,196 54,492 58,794 78,392 108,984 117,588 186,181 235,176 372,362 558,543 744,724

Collatz Trajectory (211 steps to reach 1)

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

4,468,344 2,234,172 1,117,086 558,543 1,675,630 837,815 2,513,446 1,256,723 3,770,170 1,885,085 5,655,256 2,827,628 1,413,814 706,907 2,120,722 1,060,361 3,181,084 1,590,542 795,271 2,385,814 1,192,907 3,578,722 1,789,361 5,368,084 2,684,042 1,342,021 4,026,064 2,013,032 1,006,516 503,258 251,629 754,888 377,444 188,722 94,361 283,084 141,542 70,771 212,314 106,157 318,472 159,236 79,618 39,809 119,428 59,714 29,857 89,572 44,786 22,393 67,180 33,590 16,795 50,386 25,193 75,580 37,790 18,895 56,686 28,343

More profiles

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