3977
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4116
- Proper Divisor Sum (Aliquot Sum)
- 139
- 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
- 3840
- Möbius Function
- 1
- Radical
- 3977
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 144
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code LOV.at n=42A008134
- Coordination sequence T1 for Scapolite.at n=40A008262
- For any circular arrangement of 0..n-1, let S be the sum of cubes of every sum of two contiguous numbers; then a(n) is the number of distinct values of S.at n=12A008781
- Pseudoprimes to base 50.at n=33A020178
- Pseudoprimes to base 96.at n=20A020224
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=25A020360
- a(n)-th prime is sum of first k primes for some k.at n=13A020641
- Fibonacci sequence beginning 1, 27.at n=12A022397
- Numbers whose set of base-7 digits is {1,4}.at n=42A032819
- Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=32A035954
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) = cn(3,5) = cn(4,5).at n=70A036855
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) = cn(3,5) = cn(4,5).at n=70A036857
- Denominators of continued fraction convergents to sqrt(686).at n=7A042319
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=7A051980
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=20A058082
- Numbers of the form (10*a + b)^2 + (10*b + a)^2 with a and b less than 10, in numerical order.at n=19A061191
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=40A061668
- Composite numbers which contain their largest proper divisor as a substring.at n=4A062238
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=14A063356
- Numbers k such that Cyclotomic(2k,k) is prime.at n=11A088817