3160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 4040
- 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
- 1248
- Möbius Function
- 0
- Radical
- 790
- Omega Function (Ω)
- 5
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 79
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=40A000384
- a(n) = binomial(8*n, n-8).at n=2A004389
- Coordination sequence T3 for Zeolite Code LAU.at n=40A008126
- Coordination sequence T2 for Coesite.at n=30A008268
- Even triangular numbers.at n=39A014494
- a(n) = 2*n*(4*n - 1).at n=20A014635
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=21A015850
- Binomial coefficients C(n,78).at n=2A017742
- Binomial coefficients C(80,n).at n=2A017796
- Smallest triangular number that begins with n.at n=30A018855
- Fibonacci sequence beginning 8, 17.at n=12A022390
- a(n) = (prime(n)-3)*(prime(n)-5)/8.at n=36A030007
- Numbers k such that binomial(2k,k) is not divisible by 3, 5 or 7.at n=5A030979
- Numbers k such that 235*2^k+1 is prime.at n=24A032494
- Numbers k such that A102489(k) is divisible by k.at n=16A032563
- Triangular numbers (A000217) with prime indices.at n=21A034953
- Even triangular numbers with prime indices.at n=11A034955
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=51A035590
- Positive numbers having the same set of digits in base 8 and base 10.at n=14A037442
- Coordination sequence T13 for Zeolite Code STT.at n=37A038420