462
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1152
- Proper Divisor Sum (Aliquot Sum)
- 690
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 120
- Möbius Function
- 1
- Radical
- 462
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- vierhundertzweiundsechzig· ordinal: vierhundertzweiundsechzigste
- English
- four hundred sixty-two· ordinal: four hundred sixty-second
- Spanish
- cuatrocientos sesenta y dos· ordinal: 462º
- French
- quatre cent soixante-deux· ordinal: quatre cent soixante-deuxième
- Italian
- quattrocentosessantadue· ordinal: 462º
- Latin
- quadringenti sexaginta duo· ordinal: 462.
- Portuguese
- quatrocentos e sessenta e dois· ordinal: 462º
Appears in sequences
- Number of ways of folding a strip of n labeled stamps.at n=6A000136
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=9A000338
- Binomial coefficients C(n,5).at n=11A000389
- Figurate numbers or binomial coefficients C(n,6).at n=11A000579
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=37A000730
- Stirling numbers of second kind, S(n,7).at n=2A000771
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=58A000926
- Numbers that are the sum of 2 successive primes.at n=49A001043
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=28A001172
- 4-dimensional pyramidal numbers: a(n) = (3*n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n).at n=7A001296
- a(n) = binomial(n, floor(n/2)).at n=11A001405
- Number of symmetric 0-1 (n+1) X (n+1) matrices with row sums 2 and first row starting 1,1 for n > 0, a(0)=1.at n=6A001495
- a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=6A001621
- a(n) = binomial(2*n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1.at n=5A001700
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=23A001973
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=42A002038
- Number of partitions of n into nonprime parts.at n=34A002095
- Shuffling 2n cards.at n=24A002139
- Numbers k such that the Woodall number k*2^k - 1 is prime.at n=11A002234
- Numbers k such that 33*2^k - 1 is prime.at n=21A002240