1853
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1980
- Proper Divisor Sum (Aliquot Sum)
- 127
- 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
- 1728
- Möbius Function
- 1
- Radical
- 1853
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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
- no
- Odd
- yes
Appears in sequences
- Number of symmetric irreducible diagrams with 2n nodes.at n=7A004300
- Coordination sequence T1 for Zeolite Code CHA.at n=33A008066
- Coordination sequence T1 for Zeolite Code FAU.at n=36A008105
- Coordination sequence T3 for Zeolite Code STI.at n=29A008236
- Molien series for A_4.at n=49A008627
- Numbers k such that the continued fraction for sqrt(k) has period 5.at n=40A010337
- Least d for which the number with continued fraction [n,n,n,n...] is in Q(sqrt(d)).at n=42A013946
- Pseudoprimes to base 33.at n=13A020161
- Number of partitions of n into 6 unordered relatively prime parts.at n=34A023026
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=21A025524
- a(n) = sum of the numbers between the two n's in A026284.at n=38A026287
- Positions of records in A030717.at n=44A030722
- Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.at n=26A033966
- Multiplicity of highest weight (or singular) vectors associated with character chi_151 of Monster module.at n=36A034539
- Number of partitions of n into parts not of the form 15k, 15k+4 or 15k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=27A035958
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=32A036439
- Trajectory of 3 under map n->19n+1 if n odd, n->n/2 if n even.at n=17A037107
- Number of n-node rooted identity trees of height at most 4.at n=52A038083
- Number of n-node rooted identity trees of height at most 4.at n=44A038083
- Number of n-node rooted identity trees of height 4.at n=40A038088