10118
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15180
- Proper Divisor Sum (Aliquot Sum)
- 5062
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5058
- Möbius Function
- 1
- Radical
- 10118
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=10A031598
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=46A036805
- Numbers k such that 2^k + 3^k is a semiprime.at n=30A050244
- Numbers k such that (k!-6)/6 is prime.at n=21A139201
- Generalized q-Stirling 2nd numbers (see A022166):q=4;m=3; t1(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].at n=12A156825
- Numbers k such that (2^k + 3^k)/13 is prime.at n=12A181628
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=18A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=18A213184
- First appearance of the Fibonacci numbers in the decimals of Pi.at n=16A216638
- Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal.at n=3A232512
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal.at n=31A232515
- Number of (4+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal.at n=4A232519
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=31A234692
- Partial sums of A253089.at n=24A255601
- Numbers n such that 4n + 1, 4n + 2 and 4n + 3 are not squarefree.at n=22A258332
- Expansion of Product_{k>=1} ((1 + x^(k^2)) / (1 - x^(k^2)))^k.at n=38A291667
- Expansion of Sum_{n>=1} ( (1 + x^n)^n - 1 ).at n=79A318636
- Number of non-self-conjugate partitions of n.at n=33A330644
- Records in A333549.at n=28A333550
- a(n) = 8*n^2 - 7*n + 2.at n=36A360417