467
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 468
- 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
- 466
- Möbius Function
- -1
- Radical
- 467
- 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
- 84
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 91
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertsiebenundsechzig· ordinal: vierhundertsiebenundsechzigste
- English
- four hundred sixty-seven· ordinal: four hundred sixty-seventh
- Spanish
- cuatrocientos sesenta y siete· ordinal: 467º
- French
- quatre cent soixante-sept· ordinal: quatre cent soixante-septième
- Italian
- quattrocentosessantasette· ordinal: 467º
- Latin
- quadringenti sexaginta septem· ordinal: 467.
- Portuguese
- quatrocentos e sessenta e sete· ordinal: 467º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=18A000057
- Number of twin prime pairs < square of n-th prime.at n=39A000885
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=26A000928
- Primes with primitive root 2.at n=36A001122
- Numbers that are the sum of 4 cubes in more than 1 way.at n=26A001245
- Number of graphs with n nodes and n-3 edges.at n=10A001431
- a(n) = a(n-1) + a(n-2) - 1.at n=13A001588
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=28A001914
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=52A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=49A001916
- Prime determinants of forms with class number 2.at n=40A002052
- Primes of the form 4*k + 3.at n=45A002145
- Numerators of continued fraction convergents to cube root of 6.at n=5A002360
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=43A002503
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=17A002643
- Number of bipartite partitions.at n=7A002763
- Numbers that are the sum of 7 positive 4th powers.at n=40A003341
- Numbers that are the sum of 8 positive 5th powers.at n=16A003353
- Primes congruent to {3, 5, 6} mod 7.at n=46A003625
- Primes of the form 3n-1.at n=46A003627