Properties of the Number 84456

Eighty-Four Thousand Four Hundred Fifty-Six

Basics

Value: 84455 → 84456 → 84457

Parity: even

Prime: No

Previous Prime: 84449

Next Prime: 84457

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 17 × 23

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100111101000

Octal: 244750

Duodecimal: 40A60

Hexadecimal: 149e8

Square: 7132815936

Square Root: 290.61314491949605

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

Triangle read by rows of the numbers T(n,k) (n > 1, 0 < k < n) of set partitions of n of length k which do not have a proper subset of parts with a union equal to a subset {1,2,...,j} with j < n. A87903

Numbers that have exactly eight prime factors counted with multiplicity (A046310) whose digit reversal is different and also has 8 prime factors (with multiplicity). A109028

Triangle T(n,k) read by rows, given by [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] δ [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, ...] where δ is the operator defined in A084938. A86329

a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p² - p and p is the n-th prime. A355069

Numbers n such that φ(n) is the sum of the first k divisors of n for some k. A72278

a(n) = n*(n+1)*(n+7)*(122+57·n+n²)/120. A101862

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 00100-00100-11111-00100 pattern in any orientation. A147328

a(n) = binomial(2n,n)³. A2897

Sequence A084457 in binary. A84456

Number of (n+2) X 7 0..3 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186877