4702
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
- 4
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 2354
- 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
- 2350
- Möbius Function
- 1
- Radical
- 4702
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T7 for Zeolite Code MEL.at n=44A008156
- Coordination sequence T2 for Zeolite Code MTN.at n=41A008187
- Coordination sequence T7 for Zeolite Code MTW.at n=45A008202
- Fibonacci sequence beginning 4, 10.at n=14A022382
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=11A025025
- Expansion of 1/((1-2x)(1-3x)(1-7x)(1-11x)).at n=3A025946
- 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 68.at n=4A031566
- Numbers whose set of base-6 digits is {3,4}.at n=35A032830
- a(n) = floor( sqrt(2) * (3/2)^n ).at n=20A033320
- Number of n-node rooted trees of height at most 8.at n=12A034825
- One half of the number of non-self-conjugate balanced partitions.at n=49A067772
- Triangle T, read by rows, equal to the matrix square of triangle A117418; also equals a column bisection of triangle A117418: column 2k+1 of T^(1/2) equals column k of T.at n=50A117427
- Poincaré series [or Poincare series] P(C_{5,2}; x).at n=11A124613
- a(n) = 49*n^2 - 20*n + 2.at n=9A157373
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=28A163433
- Partial sums of abundant numbers (A005101).at n=44A173107
- Number of right triangles on an (n+1) X 5 grid.at n=11A189809
- Number of partitions of n such that the number of parts and the smallest part are not coprime.at n=42A201025
- The sum over all bitstrings b of length n of the number of runs in b not immediately followed by a longer run.at n=9A208902
- Number of "semiperiodic" binary words of length n.at n=16A209284