4628
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 4192
- 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
- 2112
- Möbius Function
- 0
- Radical
- 2314
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = solution to the postage stamp problem with 3 denominations and n stamps.at n=40A001208
- Coordination sequence T3 for Zeolite Code TON.at n=42A008243
- Numbers k such that Fib(k) == 21 (mod k).at n=31A023179
- Number of noncrossing nonplanted bushes with n nodes, i.e., rooted noncrossing trees with n nodes and no nodes of degree 1.at n=8A030982
- 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 34.at n=34A031532
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34.at n=3A031712
- Multiplicity of highest weight (or singular) vectors associated with character chi_63 of Monster module.at n=35A034451
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 5).at n=38A035553
- Coordination sequence T13 for Zeolite Code STT.at n=45A038420
- Coordination sequence T15 for Zeolite Code STT.at n=45A038427
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=29A054275
- Number of unlabeled connected digraphs up to complementarity.at n=4A054932
- Intrinsic 8-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=38A060878
- Nearest integer to log(n^n)^(1 + log(log(1 + n))).at n=18A062480
- Index of the smallest prime which follows square of n-th prime.at n=46A062773
- Least number starting a chain of exactly n consecutive even integers that do not have cototient-inverses.at n=4A072296
- Ordered product of the sides of primitive Pythagorean triangles divided by 60.at n=16A081752
- Values of n for which A095777(n) is 15 (those terms which are expressible in decimal digits for bases 2 through 16, but not for base 17).at n=37A095784
- Slowest increasing sequence where the first pair of digits sums to 10, the next pair also does and so on.at n=41A098791
- Number of partitions of n into parts but with two kinds of parts of sizes 1,2,3,4 and 5.at n=16A103924