7306
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11844
- Proper Divisor Sum (Aliquot Sum)
- 4538
- 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
- 3360
- Möbius Function
- -1
- Radical
- 7306
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Taylor series related to one in Ramanujan's Lost Notebook.at n=24A006305
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=35A020360
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=4A031606
- Multiplicity of highest weight (or singular) vectors associated with character chi_61 of Monster module.at n=37A034449
- Numbers k such that 9*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=15A056727
- Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).at n=39A057477
- Numbers k>7 such that x^k + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=26A057485
- McKay-Thompson series of class 52A for Monster.at n=59A058705
- Numbers k such that phi(k) divides (sigma(k+2) + sigma(k-2)).at n=42A067245
- Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n that start with exactly k (1,1) steps.at n=21A110169
- Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n that start with exactly k (1,1) steps.at n=29A110169
- Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n that start with exactly k (1,1) steps.at n=38A110169
- Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n that start with exactly k (1,1) steps.at n=48A110169
- First differences of the central Delannoy numbers (A001850).at n=6A110170
- Numerator of sum of reciprocals of first n pentatope numbers A000332.at n=25A118411
- Smallest number whose n-th power begins with precisely n identical digits (in base ten).at n=6A131699
- a(n) = smallest number k such that the decimal expansion of k^n begins with a string of at least n identical digits.at n=6A132392
- Numbers k such that k and k^2 use only the digits 0, 3, 5, 6 and 7.at n=7A136937
- a(n) = Sum_{k=1..n} (k+2)!/k! = Sum_{k=1..n} (k+2)*(k+1).at n=26A180118
- Position of 2^n in A051037 (5-smooth numbers).at n=52A188425