4000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 5828
- 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
- 1600
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
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
- 113
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=32A001107
- Numbers of the form 2^i*5^j with i, j >= 0.at n=39A003592
- a(n) = floor(1000*log_2(n)).at n=15A004265
- a(n) = round(1000*log_2(n)).at n=15A004266
- a(n) = ceiling(1000*log_2(n)).at n=15A004267
- Powers of 2 written in base 8.at n=11A004647
- Powers of 2 written in base 16.at n=14A004655
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,3,3).at n=3A005546
- Theta series of D_5 lattice.at n=28A005930
- Numbers k such that k^64 + 1 is prime.at n=40A006316
- 'Eban' numbers (the letter 'e' is banned!).at n=39A006933
- Coordination sequence T1 for Zeolite Code LAU.at n=45A008124
- Numbers k such that k^2 and k have same last 3 digits.at n=16A008853
- Triangle of coefficients in expansion of (1+10x)^n.at n=13A013617
- Denominator of sum of -3rd powers of divisors of n.at n=19A017670
- n written in fractional base 8/4.at n=32A024646
- Numbers of form 2^i*10^j, with i, j >= 0.at n=29A025612
- Numbers of form 4^i*10^j, with i, j >= 0.at n=15A025621
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=15A027662
- Even 10-gonal (or decagonal) numbers.at n=16A028994