906
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1824
- Proper Divisor Sum (Aliquot Sum)
- 918
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 300
- Möbius Function
- -1
- Radical
- 906
- 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
- 15
- Smith Number
- no
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
- yes
- Odd
- no
Names
- German
- neunhundertsechs· ordinal: neunhundertsechsste
- English
- nine hundred six· ordinal: nine hundred sixth
- Spanish
- novecientos seis· ordinal: 906º
- French
- neuf cent six· ordinal: neuf cent sixième
- Italian
- novecentosei· ordinal: 906º
- Latin
- nongenti sex· ordinal: 906.
- Portuguese
- novecentos e seis· ordinal: 906º
Appears in sequences
- A nonlinear binomial sum.at n=11A000128
- Strobogrammatic numbers: the same upside down.at n=16A000787
- Numbers beginning with letter 'n' in English.at n=18A000981
- Numbers in which every digit contains at least one loop (version 1).at n=49A001743
- Related to Hamilton numbers.at n=5A002090
- Maximal kissing number of n-dimensional laminated lattice.at n=13A002336
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=43A002642
- Rotatable partitions.at n=30A002722
- Coefficients of modular function G_3(tau).at n=22A005761
- Numbers not of form p + 2^x + 2^y.at n=15A006286
- Theta series of laminated lattice LAMBDA_13^{max}.at n=2A006917
- Number of strict 7th-order maximal independent sets in path graph.at n=44A007386
- Add 5, then reverse digits!.at n=21A007397
- Positive even numbers that are not the sum of a pair of twin primes.at n=15A007534
- Coordination sequence T5 for Zeolite Code DDR.at n=19A008075
- Coordination sequence T1 for Zeolite Code JBW.at n=20A008121
- Coordination sequence T2 for Zeolite Code JBW.at n=20A008122
- Coordination sequence T3 for Zeolite Code LOV.at n=20A008136
- Coordination sequence T3 for Zeolite Code PAU.at n=22A008221
- Numbers that do not contain the letter 't'.at n=52A008523