10198
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15300
- Proper Divisor Sum (Aliquot Sum)
- 5102
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5098
- Möbius Function
- 1
- Radical
- 10198
- 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
- 117
- 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 x^k + x + 1 is irreducible over GF(2).at n=28A002475
- Number of bipartite partitions.at n=12A002765
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=41A020409
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026692.at n=12A026699
- 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=18A031598
- Increasing gaps among twin primes: size.at n=44A036063
- Sum of partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906).at n=24A056871
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=46A079717
- Triangle read by rows in which the n-th row contains n numbers not included earlier whose concatenation forms a palindrome.at n=14A082827
- Diagonal of A082827.at n=4A082829
- Number of 8k+-3 primes (A003629) in range [2^n,2^(n+1)].at n=17A095014
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, -1, -1)}.at n=11A148024
- Number of nondecreasing integer sequences of length 24 with sum zero and sum of absolute values 2n.at n=12A158158
- a(n) = prime(n)^2-3.at n=25A182200
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=8A192087
- Number of 1X4 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 4-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=35A192691
- G.f.: Sum_{n>=0} x^n/Product_{k=1..n} (1 - Lucas(k)*x^k + (-1)^k*x^(2*k)).at n=14A206140
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=28A213319
- Minimum value unattainable as the sum of 2 attained values of a*b+a*c+b*c with a,b,c 0..n integers.at n=43A225272
- Number of parts of even multiplicities in all the partitions of n.at n=32A264400