630
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 1872
- Proper Divisor Sum (Aliquot Sum)
- 1242
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 144
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith 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
Names
- German
- sechshundertdreißig· ordinal: sechshundertdreißigste
- English
- six hundred thirty· ordinal: six hundred thirtieth
- Spanish
- seiscientos treinta· ordinal: 630º
- French
- six cent trente· ordinal: six cent trentième
- Italian
- seicentotrenta· ordinal: 630º
- Latin
- sescenti triginta· ordinal: 630.
- Portuguese
- seiscentos e trinta· ordinal: 630º
Appears in sequences
- Number of primitive polynomials of degree n over GF(2) (version 2).at n=12A000020
- Hexagonal numbers: a(n) = n*(2*n-1).at n=18A000384
- Rencontres numbers: number of permutations of [n] with exactly 4 fixed points.at n=4A000475
- Number of labeled trees of diameter 3 with n nodes.at n=3A000554
- Number of compositions of n into 3 ordered relatively prime parts.at n=36A000741
- a(n) = floor(2^n / n).at n=12A000799
- Number of degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n.at n=13A001037
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=41A001172
- Triangle of coefficients of Bessel polynomials (exponents in decreasing order).at n=42A001497
- Triangle a(n,k) (n >= 0, 0 <= k <= n) of coefficients of Bessel polynomials y_n(x) (exponents in increasing order).at n=38A001498
- Lah numbers: a(n) = n! * binomial(n-1, 4)/5!.at n=2A001777
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=38A002093
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=19A002134
- Expansion of (1-4*x)^(9/2).at n=4A002424
- a(n) = (2n+1)!/n!^2.at n=4A002457
- Coefficients for extrapolation.at n=2A002738
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=24A002798
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=56A003038
- Numbers that are the sum of 6 positive 4th powers.at n=47A003340
- Triangle of denominators in Leibniz's Harmonic Triangle a(n,k), n >= 1, 1 <= k <= n.at n=40A003506