402
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 816
- Proper Divisor Sum (Aliquot Sum)
- 414
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 132
- Möbius Function
- -1
- Radical
- 402
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 19
- 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
- vierhundertzwei· ordinal: vierhundertzweiste
- English
- four hundred two· ordinal: four hundred second
- Spanish
- cuatrocientos dos· ordinal: 402º
- French
- quatre cent deux· ordinal: quatre cent deuxième
- Italian
- quattrocentodue· ordinal: 402º
- Latin
- quadringenti duo· ordinal: 402.
- Portuguese
- quatrocentos e dois· ordinal: 402º
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=22A000603
- a(-1)=1 by convention; for n >= 0, a(n) = number of irreducible Boolean functions of n variables.at n=5A000616
- Number of paraffins C_n H_{2n-1} XYZ with n carbon atoms.at n=6A000640
- Numbers beginning with letter 'f' in English.at n=26A000867
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=31A001101
- Number of n-node trees of height at most 4.at n=10A001384
- Partial sums of A006206.at n=15A001461
- Expansion of bracket function.at n=9A001659
- Some special numbers.at n=2A002116
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=34A002491
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=15A002798
- Median Euler numbers.at n=3A002832
- Numbers that are the sum of 7 positive 4th powers.at n=34A003341
- Numbers that are the sum of 12 positive 4th powers.at n=51A003346
- Number of n-digit reversible primes (or emirps) with distinct digits.at n=4A003684
- Barriers for omega(n): numbers n such that, for all m < n, m + omega(m) <= n.at n=59A005236
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=38A005662
- Number of partitions of 3n into powers of 3.at n=33A005704
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=10A005899
- Number of paraffins.at n=11A005998