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Number

26,801

26,801 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
10,862
Recamán's sequence
a(164,089) = 26,801
Square (n²)
718,293,601
Cube (n³)
19,250,986,800,401
Divisor count
2
σ(n) — sum of divisors
26,802
φ(n) — Euler's totient
26,800

Primality

26,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 26801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 26,801)
1 × 26801
First multiples
26,801 · 53,602 (double) · 80,403 · 107,204 · 134,005 · 160,806 · 187,607 · 214,408 · 241,209 · 268,010

Sums & aliquot sequence

As a sum of two squares: 76² + 145²
As consecutive integers: 13,400 + 13,401

Representations

In words
twenty-six thousand eight hundred one
Ordinal
26801st
Binary
110100010110001
Octal
64261
Hexadecimal
0x68B1
Base64
aLE=
One's complement
38,734 (16-bit)
In other bases
ternary (3) 1100202122
quaternary (4) 12202301
quinary (5) 1324201
senary (6) 324025
septenary (7) 141065
nonary (9) 40678
undecimal (11) 19155
duodecimal (12) 13615
tridecimal (13) c278
tetradecimal (14) 9aa5
pentadecimal (15) 7e1b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵κϛωαʹ
Mayan (base 20)
𝋣·𝋧·𝋠·𝋡
Chinese
二萬六千八百零一
Chinese (financial)
貳萬陸仟捌佰零壹
In other modern scripts
Eastern Arabic ٢٦٨٠١ Devanagari २६८०१ Bengali ২৬৮০১ Tamil ௨௬௮௦௧ Thai ๒๖๘๐๑ Tibetan ༢༦༨༠༡ Khmer ២៦៨០១ Lao ໒໖໘໐໑ Burmese ၂၆၈၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 26,801 = 5
e — Euler's number (e)
Digit 26,801 = 8
φ — Golden ratio (φ)
Digit 26,801 = 6
√2 — Pythagoras's (√2)
Digit 26,801 = 2
ln 2 — Natural log of 2
Digit 26,801 = 1
γ — Euler-Mascheroni (γ)
Digit 26,801 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 26,783 (gap of 18)
  • Next prime: 26,813 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-68B1
U+68B1
Other letter (Lo)

UTF-8 encoding: E6 A2 B1 (3 bytes).

Hex color
#0068B1
RGB(0, 104, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.104.177.

Address
0.0.104.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.104.177

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 26801 first appears in π at position 196,671 of the decimal expansion (the 196,671ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.