Properties of the Number 88410

Eighty-Eight Thousand Four Hundred Ten

Basics

Value: 88409 → 88410 → 88411

Parity: even

Prime: No

Previous Prime: 88397

Next Prime: 88411

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 421

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100101011010

Octal: 254532

Duodecimal: 431B6

Hexadecimal: 1595a

Square: 7816328100

Square Root: 297.33819129065813

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that the symmetric representation of σ(k) has only two parts and they meet at the center of the Dyck path. A262259

Triangular numbers that are sums of two consecutive primes. A111163

a(n) = n*(n+1)*(n²+n+1)/2. A110450

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x| >= w + |y-z|. A212714

a(n) is the multiplicative inverse of A008514(n) modulo A008514(n+1). A334121

a(n) = p(n)*(p(n)-1)/2 where p(n) = upper member of n-th pair of twin primes. A82669

a(n) = t(n)_t(n) where t() = triangular numbers A000217. A122628

Integers m such that A342805(m) = m+3. A342806

Square array read by antidiagonals upwards: T(i,j) is the smallest number m such that the symmetric representation of σ, SRS(m), has maximum width 3, consists of i parts and has 2·j occurrences of maximum width 3 in its width pattern (row m of A341969). A377667

Numbers n such that the denominator of the 2n-th Bernoulli number is divisible by n but ∑_d∣n σ(d)/φ(d) is not an integer. A99008