8151
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 5289
- 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
- 4320
- Möbius Function
- 1
- Radical
- 8151
- 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
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 158
- Smith Number
- no
- Vampire 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
- no
- Odd
- yes
Appears in sequences
- Tetrahedral numbers written backwards.at n=44A004161
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=32A011779
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=38A020443
- a(n) = n*(15*n - 1)/2.at n=33A022272
- Odd elements in 3-Pascal triangle A028262 (by row) that are not 1.at n=51A028265
- Odd elements in 3-Pascal triangle A028262 (by row) that are not 1.at n=52A028265
- Number of distinct elements in 3-Pascal triangle A028262 (by row).at n=53A028267
- Distinct odd elements in 3-Pascal triangle A028262 (by row).at n=27A028268
- Elements to right of central elements in 3-Pascal triangle A028262.at n=56A028271
- Elements to right of central elements in 3-Pascal triangle A028262 that are not 1.at n=42A028272
- Odd elements (greater than 1) to right of central elements in 3-Pascal triangle A028262.at n=24A028274
- Numbers k such that 149*2^k+1 is prime.at n=24A032424
- Base-7 palindromes that start with 3.at n=35A043017
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=12A045128
- (Terms in A028266)/2.at n=53A051297
- (Terms in A029617)/2.at n=27A051432
- (Terms in A029607)/2.at n=51A051434
- (Terms in A029625)/2.at n=51A051456
- (Terms in A029631)/2.at n=30A051458
- Partial sums of A034263.at n=8A051947