2092
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 3668
- Proper Divisor Sum (Aliquot Sum)
- 1576
- 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
- 1044
- Möbius Function
- 0
- Radical
- 1046
- 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
- 125
- 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
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=17A005892
- Number of mappings from n points to themselves with in-degree <= 2.at n=10A006961
- Coordination sequence T5 for Zeolite Code -CLO.at n=41A009854
- Number of partitions of n into distinct parts, none being 8.at n=48A015755
- a(n) = a(n-4) + a(n-5), with a(0)=1, a(1)=a(2)=a(3)=0, a(4)=1.at n=59A017827
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=13A020383
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes).at n=15A024603
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes).at n=14A025117
- 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 22.at n=33A031520
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 18 ones.at n=38A031786
- Take list of squares, move left digit of each term to end of previous term.at n=48A032760
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).at n=44A035407
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).at n=33A035408
- G.f.: 3/(1 + 2*sqrt(1-12*x)).at n=4A035610
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 8.at n=46A038639
- Denominators of continued fraction convergents to sqrt(715).at n=8A042377
- a(n)=(s(n)+2)/5, where s(n)=n-th base 5 palindrome that starts with 3.at n=45A043052
- Numbers n such that string 5,4 occurs in the base 8 representation of n but not of n-1.at n=36A044231
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=28A044318
- Numbers n such that string 9,2 occurs in the base 10 representation of n but not of n-1.at n=22A044424