λ
Integer Codex

1,110,216

23 × 3 × 167 × 277
Abundant Even Composite

For 1,110,216, the 32 positive divisors have a total of 2,802,240. Removing 1,110,216 leaves 1,692,024, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 167 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,802,240
Proper Divisor Sum 1,692,024
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1110181 ← → #1110223

Radix Representation

Decimal 1110216
Binary 100001111000011001000 (21 bits)
Octal 0o4170310
Hexadecimal 0x10F0C8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 167 277 334 501 554 668 831 1,002 1,108 1,336 1,662 2,004 2,216 3,324 4,008 6,648 46,259 92,518 138,777 185,036 277,554 370,072 555,108 1,110,216

Collatz Trajectory (165 steps to reach 1)

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

1,110,216 555,108 277,554 138,777 416,332 208,166 104,083 312,250 156,125 468,376 234,188 117,094 58,547 175,642 87,821 263,464 131,732 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280

More profiles

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