λ
Integer Codex

1,278,108

22 × 32 × 13 × 2731
Abundant Even Composite

For 1,278,108, the 36 positive divisors have a total of 3,480,568. Removing 1,278,108 leaves 2,202,460, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 2731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,480,568
Proper Divisor Sum 2,202,460
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1278107 ← → #1278113

Radix Representation

Decimal 1278108
Binary 100111000000010011100 (21 bits)
Octal 0o4700234
Hexadecimal 0x13809C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2,731 5,462 8,193 10,924 16,386 24,579 32,772 35,503 49,158 71,006 98,316 106,509 142,012 213,018 319,527 426,036 639,054 1,278,108

Collatz Trajectory (80 steps to reach 1)

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

1,278,108 639,054 319,527 958,582 479,291 1,437,874 718,937 2,156,812 1,078,406 539,203 1,617,610 808,805 2,426,416 1,213,208 606,604 303,302 151,651 454,954 227,477 682,432 341,216 170,608 85,304 42,652 21,326 10,663 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38

More profiles

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