3577
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4218
- Proper Divisor Sum (Aliquot Sum)
- 641
- 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
- 3024
- Möbius Function
- 0
- Radical
- 511
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 74
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,1).at n=6A002178
- Parenthesized one way gives the powers of 2: (1), (2), (1+3), ..., another way the powers of 3: (1), (2+1), (3+6), ....at n=28A006895
- Coordination sequence T3 for Zeolite Code EPI.at n=38A008092
- Coordination sequence T1 for Zeolite Code HEU.at n=39A008116
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=19A011936
- a(n) = Sum_{j=1..n} j*prime(j).at n=14A014285
- Odd pentagonal numbers.at n=24A014632
- Pseudoprimes to base 30.at n=27A020158
- Pseudoprimes to base 80.at n=30A020208
- Pseudoprimes to base 97.at n=48A020225
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=12A020399
- Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)).at n=3A021829
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=19A024600
- Coordination sequence T2 for Zeolite Code IFR.at n=42A024983
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=18A025114
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=40A026059
- Coordination sequence T1 for Zeolite Code SAT.at n=43A027373
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=13A031800
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=24A033570
- Number of binary [ n,4 ] codes without 0 columns.at n=13A034345