4978
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 2942
- 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
- 2340
- Möbius Function
- -1
- Radical
- 4978
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- yes
- Odd
- no
Appears in sequences
- Number of strict 7th-order maximal independent sets in cycle graph.at n=56A007394
- Convolution of primes with themselves.at n=15A014342
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=39A024920
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=37A025064
- Numbers having period-4 6-digitized sequences.at n=22A031197
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 70.at n=6A031568
- Partial sums of A000009 (partitions into distinct parts).at n=36A036469
- Numerators of continued fraction convergents to sqrt(956).at n=7A042850
- Pseudo-random numbers: a (very weak) pseudo-random number generator from the second edition of the C book.at n=21A061364
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=10A076425
- Numbers k whose digits are all contained, in any order, within the digits of prime(k).at n=43A080794
- Left truncatable 3-almost primes, in which repeatedly deleting the leftmost digit gives a 3-almost prime at every step until a single-digit 3-almost prime remains.at n=35A085248
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DUDU's starting at level 1.at n=60A135333
- a(n) = least m such that sum of m reciprocal primes starting with n-th prime is >1.at n=14A137368
- a(n) = 171*n + 19.at n=29A139619
- Expansion of g.f. 1/((1-x^2+x^3+x^4-x^5)*(1-x-x^2+x^3-x^5)).at n=24A147598
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=7A150176
- Row 4 of table A162430.at n=15A162433
- Number of binary strings of length n with equal numbers of 0000 and 0111 substrings.at n=14A164152
- Sum of 4 distinct nonzero fourth powers.at n=42A176197