5076
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 8364
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1656
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 41
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=36A001107
- MacMahon's generalized sum of divisors function.at n=31A002127
- a(n) = 3 + n/2 + 7*n^2/2.at n=38A006124
- Coordination sequence T7 for Zeolite Code VNI.at n=44A009913
- Coordination sequence T1 for Zeolite Code VSV.at n=45A009914
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=29A012212
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=20A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=21A025413
- Even 10-gonal (or decagonal) numbers.at n=18A028994
- Number of strings of n distinct digits from 1-9 that are the last n digits of a square in base 10.at n=5A036756
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=19A045013
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=26A060672
- Numbers k such that sigma(k) = 2*usigma(k).at n=14A063880
- a(n) = 4*n^4 - 3*n^2.at n=5A079414
- Longest cycle in range [A014137(n-1)..A014138(n-1)] of permutation A071661.at n=13A079439
- Positions of records in A085020.at n=45A083887
- Numbers k such that 10^k + 7 is prime.at n=14A088274
- Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14).at n=13A108573
- a(n) = Sum_{k=0..floor(n/2)} C(n-k,k)*C(n-k,k+1)/(n-k) * a(k), with a(0)=1.at n=12A118928
- 10-gonal numbers which are divisible by the sum of their digits.at n=13A119548