10936
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
- 8
- Divisor Sum
- 20520
- Proper Divisor Sum (Aliquot Sum)
- 9584
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5464
- Möbius Function
- 0
- Radical
- 2734
- Omega Function (Ω)
- 4
- 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
- 42
- 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
- Numbers that are the sum of 6 positive 7th powers.at n=25A003373
- Molien series for A_10.at n=37A008633
- Number of partitions of n into at most 10 parts.at n=37A008639
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=20A020439
- Number of partitions of n into 10 unordered relatively prime parts.at n=37A023030
- Number of partitions of n in which the greatest part is 10.at n=47A026816
- Numerators of continued fraction convergents to sqrt(708).at n=7A042362
- Numbers k such that k^8 == 1 (mod 9^3).at n=30A056084
- Hankel transform of Moebius function A008683.at n=14A056227
- Number of distinct coefficients in expansion related to enumeration of permutations of length n by length of longest subsequence.at n=19A068604
- Indices of Fibonacci numbers in Stern's diatomic series A049456 regarded as a single linear sequence.at n=13A094968
- Number of binary trees of path length n.at n=31A095830
- Partial sums of A004977.at n=25A116100
- Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.at n=46A158139
- a(n) = 729*n + 1.at n=14A158397
- Number of binary strings of length n with equal numbers of 0010 and 1011 substrings.at n=15A164171
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 3 being respectively unique.at n=10A170809
- Composite numbers k such that k = (product of divisors of k) mod (sum of divisors of k).at n=37A187712
- Least m>0 such that n! <= m^3.at n=14A214049
- a(0) = a(1) = 1; for n>1, a(n) = a(n-1) + a(n-2) + floor(n/2).at n=18A215004