7309
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7310
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7308
- Möbius Function
- -1
- Radical
- 7309
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 932
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=34A000327
- From a Goldbach conjecture: records in A185091.at n=44A002092
- Primes of the form k^2 - k - 1.at n=42A002327
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=10A020396
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=8A023277
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=42A028291
- Palindromic primes in base 4.at n=25A029972
- Numbers whose set of base-13 digits is {3,4}.at n=18A032837
- Number of ternary rooted trees with n nodes and height exactly 12.at n=17A036427
- Denominators of continued fraction convergents to sqrt(462).at n=4A041881
- Denominators of continued fraction convergents to sqrt(532).at n=8A042017
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=19A054812
- Primes p such that x^29 = 2 has no solution mod p.at n=30A059256
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=28A059605
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).at n=35A063344
- Partial sums of sequence (essentially A002378): 1, 2, 6, 12, 20, 30, 42, 56, 72, 90, ...at n=27A064999
- Centered 18-gonal numbers.at n=28A069131
- a(n) = 4*n^2 + 6*n + 1.at n=42A082108
- a(1) = 2, a(n+1) = smallest prime of the form a(n) + k*prime(n+1), k >1.at n=25A085041
- a(n)=A085956(3n).at n=41A086361