4603
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4604
- 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
- 4602
- Möbius Function
- -1
- Radical
- 4603
- 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
- 121
- 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
- 623
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code BIK.at n=42A008047
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=0A020437
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=30A023264
- Expansion of 1/((1-2x)(1-4x)(1-6x)(1-11x)).at n=3A025969
- Primes which when concatenated with next 3 primes are also prime.at n=35A030472
- 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=12A031565
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=20A031802
- Lower prime of a difference of 18 between consecutive primes.at n=15A031936
- Primes of form x^2+66*y^2.at n=34A033242
- Primes of form abs(2*n^2-199).at n=44A039950
- Numerators of continued fraction convergents to sqrt(684).at n=5A042314
- Denominators of continued fraction convergents to sqrt(871).at n=8A042683
- Discriminants of imaginary quadratic fields with class number 7 (negated).at n=28A046004
- Smallest prime that concatenated with all previous terms of sequence forms a prime.at n=57A051670
- Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves.at n=19A055364
- Fourth spoke of a hexagonal spiral.at n=39A056108
- Primes p such that x^59 = 2 has no solution mod p.at n=11A059312
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=47A061157
- Bidirectional 'Delannoy' variation of the Boustrophedon transform applied to all 1's sequence: Fill an triangular array in alternating directions. Let the first element of each row in that direction be equal to 1. Each next entry is given by T(n,k) = T(n,k +/- 1) + T(n-1,k-1) + T(n-1,k) + T(n-2,k-1), where the +/- depends on which is the previous element in the direction one is filling in the row. The final number of row n gives a(n).at n=6A064643
- Array defined in A064643 read from left to right (cf. A107783).at n=27A064644