3400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8370
- Proper Divisor Sum (Aliquot Sum)
- 4970
- 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
- 1280
- Möbius Function
- 0
- Radical
- 170
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=28A000099
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=35A000443
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=34A000567
- Squares written in base 7.at n=34A002440
- Number of unilaterally connected digraphs with n labeled nodes.at n=3A003029
- Numbers that are the sum of 3 positive 5th powers.at n=24A003348
- Numbers that are the sum of at most 3 positive 5th powers.at n=43A004843
- Sum of digits of n-th term in Look and Say sequence A005150.at n=26A004977
- Truncated tetrahedral numbers: a(n) = (1/6)*(n+1)*(23*n^2 + 19*n + 6).at n=9A005906
- Number of unlabeled connected strength 3 Eulerian graphs with n nodes, 2 of odd degree.at n=4A007132
- Coordination sequence T6 for Zeolite Code MFS.at n=36A008178
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=17A014642
- a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.at n=9A014820
- n written in fractional base 5/3.at n=25A024633
- a(n) = (prime(n+2)^2 - 1)/3.at n=23A024700
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=31A024854
- Numbers that are the sum of 2 nonzero squares in exactly 3 ways.at n=33A025286
- Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.at n=32A025304
- Numbers that are the sum of 2 distinct nonzero squares in 3 or more ways.at n=42A025313
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=36A027425