431
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 432
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 430
- Möbius Function
- -1
- Radical
- 431
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 40
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 83
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhunderteinunddreißig· ordinal: vierhunderteinunddreißigste
- English
- four hundred thirty-one· ordinal: four hundred thirty-first
- Spanish
- cuatrocientos treinta y uno· ordinal: 431º
- French
- quatre cent trente et un· ordinal: quatre cent trente et unième
- Italian
- quattrocentotrentuno· ordinal: 431º
- Latin
- quadringenti triginta unus· ordinal: 431.
- Portuguese
- quatrocentos e trinta e um· ordinal: 431º
Appears in sequences
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=9A000355
- Number of partitions of n in which no parts are multiples of 3.at n=24A000726
- Numbers beginning with letter 'f' in English.at n=55A000867
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=48A001032
- Twin primes.at n=43A001097
- Primes with 7 as smallest primitive root.at n=4A001126
- Primes == +-1 (mod 8).at n=37A001132
- Lesser of twin primes.at n=22A001359
- Indices of prime Fibonacci numbers.at n=15A001605
- Nearest integer to 2*n*log(n).at n=54A001618
- Numbers k such that phi(k+2) = phi(k) + 2.at n=36A001838
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=25A001914
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=49A001915
- Prime determinants of forms with class number 2.at n=38A002052
- Primes of the form 4*k + 3.at n=41A002145
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=10A002146
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=21A002184
- Smallest prime p such that first n primes (p_1=2, ..., p_n) are quintic residues mod p.at n=1A002226
- Denominators of convergents to cube root of 5.at n=7A002357
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x.at n=39A002367