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Properties of the Number 14458

Fourteen Thousand Four Hundred Fifty-Eight

Basics

Value: 14457 → 14458 → 14459

Parity: even

Prime: No

Previous Prime: 14449

Next Prime: 14461

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7229

Divisors: 1, 2, 7229, 14458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11100001111010

Octal: 34172

Duodecimal: 844A

Hexadecimal: 387a

Square: 209033764

Square Root: 120.24142381059865

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

Triangular matrix T, read by rows, that satisfies: SHIFTLEFT(column 0 of T(2·p-1/2)) = (2·p-1)*(column p of T), or [T(2·p-1/2)](m,0) = (2·p-1)*T(p+m,p+1) for all m>=1 and p>=0. A105615
Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712
a(n) = ∑k=1..n T(n,k), array T as in A049790. A49791
a(n) is the number of tetrapods standing on the four edges of an n X n grid, so that no two feet are the same distance apart and no foot is on a corner. Tetrapods with congruent footprints are counted only once. A353447
McKay-Thompson series of class 12E for the Monster group with a(0) = -2. A187196
McKay-Thompson series of class 12E for the Monster group. A58483
a(0) = 0, a(1) = a(2) = 1, a(3) = 2, a(4) = 4, for n>3: a(n+1) = SORT[ a(n) + a(n-1) + a(n-2) + a(n-3) + a(n-4)], where SORT places digits in ascending order and deletes 0's. A108565
Apply partial sum operator twice to sequence of squares of the first n primes. A157492
McKay-Thompson series of class 12E for the Monster group with a(0) = 2. A187197
Numbers k such that the continued fraction for sqrt(k) has period 67. A20406