874
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1440
- Proper Divisor Sum (Aliquot Sum)
- 566
- 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
- 396
- Möbius Function
- -1
- Radical
- 874
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- 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
- achthundertvierundsiebzig· ordinal: achthundertvierundsiebzigste
- English
- eight hundred seventy-four· ordinal: eight hundred seventy-fourth
- Spanish
- ochocientos setenta y cuatro· ordinal: 874º
- French
- huit cent soixante-quatorze· ordinal: huit cent soixante-quatorzième
- Italian
- ottocentosettantaquattro· ordinal: 874º
- Latin
- octingenti septuaginta quattuor· ordinal: 874.
- Portuguese
- oitocentos e setenta e quatro· ordinal: 874º
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=29A000064
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=23A000232
- From area of cyclic polygon of 2n + 1 sides.at n=4A000531
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=19A000566
- Number of partitions of n in which no parts are multiples of 3.at n=28A000726
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=33A001304
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=31A001365
- a(1) = 1; thereafter a(n+1) = floor(sqrt(2*a(n)*(a(n)+1))).at n=18A001521
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=40A001682
- Smallest multiple of n whose digits sum to n.at n=19A002998
- Left factorials: !n = Sum_{k=0..n-1} k!.at n=7A003422
- Number of balanced ordered trees with n nodes.at n=14A007059
- Sum of the first n primes.at n=23A007504
- Coordination sequence T2 for Zeolite Code BOG.at n=21A008050
- Coordination sequence T1 for Zeolite Code LAU.at n=21A008124
- Coordination sequence T12 for Zeolite Code MFI.at n=19A008164
- Multiples of 19.at n=46A008601
- Multiples of 23.at n=38A008605
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of three contiguous numbers; then a(n) = # of distinct values of S.at n=13A008782
- Coordination sequence T2 for Zeolite Code AHT.at n=20A009867