10156
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17780
- Proper Divisor Sum (Aliquot Sum)
- 7624
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5076
- Möbius Function
- 0
- Radical
- 5078
- Omega Function (Ω)
- 3
- 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
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of partitions of n into at most 9 parts.at n=38A008638
- Number of partitions of n into 9 unordered relatively prime parts.at n=38A023029
- Number of partitions of n in which the greatest part is 9.at n=47A026815
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=1A031844
- Smallest m such that A065623(m) = n.at n=21A065624
- Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers.at n=43A126283
- Numbers k such that 6*prime(k) -+ {1,5} are all prime.at n=18A174393
- Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i)^2 equal to n^2*36.at n=28A184244
- Triangle T(n,k) read by rows: number of height-2-restricted finite functions.at n=29A187105
- Dispersion of A016861, (5k+1), by antidiagonals.at n=30A191703
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208919; see the Formula section.at n=42A208920
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=24A209988
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 0.at n=34A259574
- Number of partial functions f:{1,2,...,n}->{1,2,...,n} such that every element in the domain of definition of f is mapped to a fixed point or to an element that is undefined by f.at n=6A275707
- Number of 2 X 2 matrices with all terms in {-n,...,0,...,n} and (sum of terms) = permanent.at n=26A280914
- Number of series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of n with no 1's.at n=15A320293
- Least k such that f(k) < 0, where f(1) = n and f(k) = f(k-1)*e^(1/k) - 1 for k > 1.at n=13A333342
- Number of partitions of n into 9 distinct and relatively prime parts.at n=38A341913
- Number of integer partitions of n with the same alternating product as alternating sum.at n=50A348552