627
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 960
- Proper Divisor Sum (Aliquot Sum)
- 333
- 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
- 360
- Möbius Function
- -1
- Radical
- 627
- Omega Function (Ω)
- 3
- 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
- 131
- Smith Number
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Names
- German
- sechshundertsiebenundzwanzig· ordinal: sechshundertsiebenundzwanzigste
- English
- six hundred twenty-seven· ordinal: six hundred twenty-seventh
- Spanish
- seiscientos veintisiete· ordinal: 627º
- French
- six cent vingt-sept· ordinal: six cent vingt-septième
- Italian
- seicentoventisette· ordinal: 627º
- Latin
- sescenti viginti septem· ordinal: 627.
- Portuguese
- seiscentos e vinte e sete· ordinal: 627º
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=20A000041
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=29A001149
- a(n) = -a(n-1) - 2*a(n-2).at n=20A001607
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=52A002038
- Odd squarefree numbers with an odd number of prime factors that have no prime factors greater than 31.at n=29A002556
- Numbers which are the sum of 3 nonzero 4th powers.at n=19A003337
- Numbers that are the sum of 7 positive 4th powers.at n=54A003341
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=45A003644
- Fully multiplicative with a(prime(k)) = partition(k+1).at n=66A003964
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=36A004832
- Numbers that are the sum of at most 4 nonzero 4th powers.at n=65A004833
- a(n) = 4*a(n-1) - a(n-2), with a(0) = 0, a(1) = 3.at n=5A005320
- Generalized Lucas numbers.at n=8A006493
- Denominators of expansion of sinh x / sin x.at n=27A006656
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=26A006753
- Number of cyclically-5-connected planar trivalent graphs with 2n nodes.at n=10A006791
- Coordination sequence T1 for Zeolite Code AFR.at n=19A008019
- Coordination sequence T3 for Zeolite Code MFI.at n=16A008166
- Coordination sequence T1 for Zeolite Code MTN.at n=15A008186
- Coordination sequence T1 for Zeolite Code NES.at n=16A008205