7603
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
- 2
- Divisor Sum
- 7604
- 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
- 7602
- Möbius Function
- -1
- Radical
- 7603
- 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
- 31
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 966
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=21A007996
- Coordination sequence for sigma-CrFe, Position Xc.at n=22A009961
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAR = Partheite Ca8[Al16Si16O60(OH)8].16H2O starting with a T1 atom.at n=6A019045
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 87.at n=4A031585
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=38A031804
- Maximal base 7 run length is 4.at n=31A037991
- Numbers whose base-7 representation contains exactly four 1's.at n=26A043400
- For each prime p take the sum of nonprimes < p.at n=33A045717
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=28A046008
- Expansion of Product_{m>=1} (1+x^m)^A000009(m).at n=21A050342
- Primes p such that p^7 reversed is also prime.at n=45A059700
- Number of self-conjugate three-quadrant Ferrers graphs that partition n.at n=47A059777
- Largest prime factor of 5^n + 1.at n=21A074478
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6.at n=38A075586
- Expansion of (1-x)/(1+x+x^2+2*x^3).at n=30A078047
- a(n) = smallest prime > n*prime(n).at n=41A079779
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=23A080155
- Diagonal of triangle in A082737.at n=38A082738
- Primes which are also prime if their base 19 representation is interpreted as a base 10 number.at n=39A090714
- Smallest prime x > n such that x (mod n) = x (mod prime(n)).at n=41A091313