7134
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 7986
- 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
- 2240
- Möbius Function
- 1
- Radical
- 7134
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 194
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 7-dimensional partitions of n.at n=6A000427
- a(n) = n*(17*n - 1)/2.at n=29A022274
- Fibonacci sequence beginning 1, 30.at n=13A022400
- a(n) = (2*n - 1)*(7*n^2 - 7*n + 6)/6.at n=14A063490
- Numbers k such that 2*k^2 + 9 is a square.at n=5A075848
- a(n) = (5*n+2)*(5*n+7).at n=16A085036
- Numbers n such that A001414(n) = sum of squared digits of n.at n=13A094908
- 0*9, 1*8, 2*7, 3*6, 4*5; 10*19, 11*18, ..., 14*15; 20*29, 21*28, ..., 24*25; 30*39, ...at n=42A096229
- Number of n-dimensional partitions of n.at n=7A096752
- Least multiple of n such that every partial concatenation followed by a 7 is prime.at n=40A109744
- Expansion of (1 +4*x -x^2)/((1-x^2)*(1-2*x-x^2)); a Pellian-related sequence.at n=9A114689
- Fixed-k dispersion for Q = 8: Square array D(g,h) (g, h >= 1), read by ascending antidiagonals.at n=49A120861
- Number of monic polynomials with integer coefficients of degree n with all roots on the unit circle; number of products of cyclotomic polynomials of degree n.at n=16A120963
- a(n)= n * reversal(n-1) * reversal(n+1).at n=28A160936
- The second of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines in A169677.at n=40A169678
- Positions of 2's in A171922.at n=23A171925
- Numbers k with the property that k^2 is a product of two distinct triangular numbers.at n=25A175497
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-k has order 25.at n=6A179139
- Joint-rank array of the numbers j*(1+phi)^2*(i-1), where phi = golden ratio = (1+sqrt(5))/2, i>=1, read by antidiagonals.at n=53A182802
- Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 5.at n=15A185035