4637
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4638
- 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
- 4636
- Möbius Function
- -1
- Radical
- 4637
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 625
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of inverse semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).at n=7A001428
- Numbers that are the sum of 11 positive 7th powers.at n=25A003378
- Primes of the form 2*k^2 + 29.at n=42A007641
- Coordination sequence for MgNi2, Position Ni3.at n=17A009934
- a(n) = prime(n^2).at n=24A011757
- Coordination sequence T3 for Zeolite Code CZP.at n=44A019458
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=3A020378
- Initial members of prime triples (p, p+2, p+6).at n=37A022004
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=39A023288
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=10A023317
- Primes that remain prime through 5 iterations of function f(x) = 6x + 5.at n=1A023345
- Number of partitions of n into distinct parts >= 2.at n=58A025147
- a(n) = T(n, n+4), T given by A027052.at n=8A027055
- a(n) = A027052(n, 2n-8).at n=8A027064
- Upper prime of a difference of 16 between consecutive primes.at n=15A031935
- Quotient of 'base-24' division described in A032579.at n=58A032580
- Trajectory of 1 under map n->33n+1 if n odd, n->n/2 if n even.at n=6A033972
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=34A034072
- Multiplicity of highest weight (or singular) vectors associated with character chi_9 of Monster module.at n=38A034397
- Numbers having four 2's in base 5.at n=24A043360