λ
Integer Codex

814,788

22 × 32 × 13 × 1741
Abundant Even Composite

For 814,788, the 36 positive divisors have a total of 2,219,308. Removing 814,788 leaves 1,404,520, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,219,308
Proper Divisor Sum 1,404,520
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #814783 ← → #814789

Radix Representation

Decimal 814788
Binary 11000110111011000100 (20 bits)
Octal 0o3067304
Hexadecimal 0xC6EC4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1,741 3,482 5,223 6,964 10,446 15,669 20,892 22,633 31,338 45,266 62,676 67,899 90,532 135,798 203,697 271,596 407,394 814,788

Collatz Trajectory (144 steps to reach 1)

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

814,788 407,394 203,697 611,092 305,546 152,773 458,320 229,160 114,580 57,290 28,645 85,936 42,968 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030

More profiles

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