4703
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4704
- 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
- 4702
- Möbius Function
- -1
- Radical
- 4703
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 635
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=34A000353
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=30A000784
- Primes of form 3*k^2 - 3*k + 23.at n=34A007637
- a(n) = [ a(n-1)/a(1) ] + [ a(n-1)/a(2) ] + ... + [ a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,2.at n=12A022862
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=33A023264
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=17A023297
- 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 67.at n=20A031565
- Lower prime of a difference of 18 between consecutive primes.at n=16A031936
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=32A033548
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=33A033681
- Numbers whose base-7 representation contains exactly three 6's.at n=34A043419
- Primes of the form k^2 + k + 11.at n=36A048059
- Euclid-Mullin sequence (A000945) with initial value a(1)=89 instead of a(1)=2.at n=37A051328
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=6A052358
- Coordination sequence T3 for Zeolite Code SFE.at n=45A057319
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=24A059400
- Smallest odd prime p such that Q(sqrt(-p)) has class number 2n+1.at n=37A060651
- Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms.at n=35A061802
- Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.at n=12A062937
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=23A064283