5725
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7130
- Proper Divisor Sum (Aliquot Sum)
- 1405
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- 0
- Radical
- 1145
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- no
- Odd
- yes
Appears in sequences
- Discriminants of totally real quartic fields (see comments).at n=19A002769
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=19A003271
- Expansion of tan(sinh(tan(x))).at n=3A009678
- Pseudoprimes to base 18.at n=31A020146
- Strong pseudoprimes to base 18.at n=9A020244
- Discriminants of totally real quartic fields.at n=22A023680
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=48A026059
- Character of extremal vertex operator algebra of rank 10.at n=4A028529
- Number of partitions of n into parts not of the form 23k, 23k+11 or 23k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=31A035999
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=12A045216
- Triangle of up-down sums of k-th powers: a(n,k)=sum(i^k,i=1..n)+sum((n-i)^k,i=1..n-1), n,k>0.at n=40A051672
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=25A051873
- a(n) = (2*n-1)^2 + (2*n)^2.at n=26A060820
- Numbers having exactly twelve anti-divisors.at n=25A066478
- a(n) = (prime(n)^2 + 1)/2.at n=26A066885
- a(n) = 8*n^2 - 4*n + 1.at n=27A080856
- Third row of Pascal-(1,5,1) array A081580.at n=18A081589
- a(0)=1, a(1)=5, a(n) = 10*a(n-1) - 23*a(n-2), n >= 2.at n=5A083880
- Square number array read by antidiagonals.at n=33A084061
- Third row of number array A084061.at n=5A084064