629
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 684
- Proper Divisor Sum (Aliquot Sum)
- 55
- 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
- 576
- Möbius Function
- 1
- Radical
- 629
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith 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
- no
- Odd
- yes
Names
- German
- sechshundertneunundzwanzig· ordinal: sechshundertneunundzwanzigste
- English
- six hundred twenty-nine· ordinal: six hundred twenty-ninth
- Spanish
- seiscientos veintinueve· ordinal: 629º
- French
- six cent vingt-neuf· ordinal: six cent vingt-neufième
- Italian
- seicentoventinove· ordinal: 629º
- Latin
- sescenti viginti novem· ordinal: 629.
- Portuguese
- seiscentos e vinte e nove· ordinal: 629º
Appears in sequences
- a(n) = n*(n+3)/2.at n=34A000096
- Number of board-pile polyominoes with n cells.at n=6A001169
- Related to 3-line Latin rectangles.at n=5A001568
- Number of n-bead necklaces with 5 colors.at n=5A001869
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=39A001996
- Numbers that are the sum of 5 positive 4th powers.at n=39A003339
- a(n) = 3*n^2 + 3*n - 1.at n=14A004538
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=35A004961
- P-positions in Epstein's Put or Take a Square game.at n=22A005240
- a(n) = floor( tan(n)^2 ).at n=99A005657
- Number of Twopins positions.at n=12A005684
- Number of fractions in Farey series of order n.at n=45A005728
- Number of partitions of 2n with all subsums different from n.at n=13A006827
- 5th-order maximal independent sets in cycle graph.at n=36A007388
- Handsome numbers: sum of positive powers of its digits; a(n) = Sum_{i=1..k} d[i]^e[i] where d[1..k] are the decimal digits of a(n), e[i] > 0.at n=43A007532
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=42A007692
- Number of unordered sets of pairs (in-degree, out-degree) for nodes of directed trees on n unlabeled nodes (the edges are directed in arbitrary directions, the tree is unrooted).at n=8A007835
- Coordination sequence T3 for Zeolite Code DAC.at n=16A008069
- Coordination sequence T1 for Zeolite Code MEL.at n=16A008150
- Coordination sequence T2 for Banalsite.at n=15A008250