598
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 410
- 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
- 264
- Möbius Function
- -1
- Radical
- 598
- 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
- 118
- 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
- fünfhundertachtundneunzig· ordinal: fünfhundertachtundneunzigste
- English
- five hundred ninety-eight· ordinal: five hundred ninety-eighth
- Spanish
- quinientos noventa y ocho· ordinal: 598º
- French
- cinq cent quatre-vingt-dix-huit· ordinal: cinq cent quatre-vingt-dix-huitième
- Italian
- cinquecentonovantotto· ordinal: 598º
- Latin
- quingenti nonaginta octo· ordinal: 598.
- Portuguese
- quinhentos e noventa e oito· ordinal: 598º
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=23A000123
- Number of boron trees with n nodes, i.e. n-node rooted trees with degree <= 3 at root and out-degree <= 2 elsewhere.at n=11A000671
- Number of free planar polyenoids with 2n nodes and symmetry point group C_{2h}.at n=7A000935
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=51A002038
- Prime numbers of measurement.at n=23A002049
- a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.at n=54A004920
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=3A004966
- Total number of fixed points in rooted trees with n nodes.at n=7A005200
- Number of atomic species of degree n; also number of connected permutation groups of degree n.at n=10A005226
- Numbers k such that k^16 + 1 is prime.at n=28A006313
- Worst cases for Pierce expansions (numerators).at n=16A006537
- 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=42A007532
- a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.at n=51A007618
- Coordination sequence T1 for Zeolite Code AET.at n=17A008007
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=18A008083
- Coordination sequence T4 for Zeolite Code MFS.at n=15A008176
- Coordination sequence T2 for Zeolite Code MTT.at n=15A008190
- Multiples of 13.at n=46A008595
- Multiples of 23.at n=26A008605
- Molien series for A_9.at n=21A008632