9977
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10896
- Proper Divisor Sum (Aliquot Sum)
- 919
- 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
- 9060
- Möbius Function
- 1
- Radical
- 9977
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- a(n) = F(n) + L(n) + n, where F(n) (A000045) and L(n) (A000204) are Fibonacci and Lucas numbers respectively.at n=18A013915
- Powers of fourth root of 17 rounded up.at n=13A018095
- Convolution of composite numbers and odd numbers.at n=24A023650
- Largest n-digit squarefree number whose internal as well as external digits form a squarefree number, or 0 if no such number exists.at n=3A077380
- Expansion of exp(2x)+exp(x)BesselI_0(2x).at n=10A081669
- Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630.at n=13A103117
- Composite numbers between largest n-digit prime and the smallest (n+1) digit prime.at n=20A109936
- Semiprimes in A056105.at n=24A113519
- Semiprimes (A001358) made of nontrivial runs of identical digits.at n=19A116063
- a(n) = 10 + floor( (1 + Sum_{j=1..n-1} a(j) )/3 ).at n=24A120155
- a(n) = 104*n + 9977.at n=0A126978
- 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, 0), (-1, -1, 1), (-1, 0, -1), (-1, 1, 0), (1, 0, 0)}.at n=11A148051
- Semiprimes for which dropping any digit gives a prime number.at n=44A178423
- Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p.at n=36A241552
- The growth series for the affine Weyl group F_4.at n=27A266784
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 510", based on the 5-celled von Neumann neighborhood.at n=30A272700
- Numbers with digits 7 and 9 only.at n=26A285011
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n-1), where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=13A296292
- Record high points in A336957.at n=45A337646
- a(n) is the sum of the lengths of all the segments used to draw a rectangle of height partition(n) and width n divided into partition(n) rectangles of unit height, in turn, divided into rectangles of unit height and lengths corresponding to the parts of the partitions of n.at n=17A338969