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Number

21,059

21,059 is a prime, odd.

21,059 (twenty-one thousand fifty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5243.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
95,012
Recamán's sequence
a(41,721) = 21,059
Square (n²)
443,481,481
Cube (n³)
9,339,276,508,379
Divisor count
2
σ(n) — sum of divisors
21,060
φ(n) — Euler's totient
21,058

Primality

21,059 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21059
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,059)
1 × 21059
First multiples
21,059 · 42,118 (double) · 63,177 · 84,236 · 105,295 · 126,354 · 147,413 · 168,472 · 189,531 · 210,590

Sums & aliquot sequence

As consecutive integers: 10,529 + 10,530

Continued fraction of √n

√21,059 = [145; (8, 1, 1, 7, 9, 4, 2, 1, 4, 3, 4, 1, 28, 4, 1, 2, 1, 1, 1, 1, 2, 2, 3, 1, …)]

Representations

In words
twenty-one thousand fifty-nine
Ordinal
21059th
Binary
101001001000011
Octal
51103
Hexadecimal
0x5243
Base64
UkM=
One's complement
44,476 (16-bit)
Scientific notation
2.1059 × 10⁴
As a duration
21,059 s = 5 hours, 50 minutes, 59 seconds
In other bases
ternary (3) 1001212222
quaternary (4) 11021003
quinary (5) 1133214
senary (6) 241255
septenary (7) 115253
nonary (9) 31788
undecimal (11) 14905
duodecimal (12) 1022b
tridecimal (13) 977c
tetradecimal (14) 7963
pentadecimal (15) 638e

As an angle

21,059° = 58 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κανθʹ
Mayan (base 20)
𝋢·𝋬·𝋬·𝋳
Chinese
二萬一千零五十九
Chinese (financial)
貳萬壹仟零伍拾玖
In other modern scripts
Eastern Arabic ٢١٠٥٩ Devanagari २१०५९ Bengali ২১০৫৯ Tamil ௨௧௦௫௯ Thai ๒๑๐๕๙ Tibetan ༢༡༠༥༩ Khmer ២១០៥៩ Lao ໒໑໐໕໙ Burmese ၂၁၀၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 21,059 = 5
e — Euler's number (e)
Digit 21,059 = 4
φ — Golden ratio (φ)
Digit 21,059 = 3
√2 — Pythagoras's (√2)
Digit 21,059 = 8
ln 2 — Natural log of 2
Digit 21,059 = 3
γ — Euler-Mascheroni (γ)
Digit 21,059 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,031 (gap of 28)
  • Next prime: 21,061 (gap of 2)

Pair status: twin with 21061.

Unicode codepoint
CJK Unified Ideograph-5243
U+5243
Other letter (Lo)

UTF-8 encoding: E5 89 83 (3 bytes).

Hex color
#005243
RGB(0, 82, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.67.

Address
0.0.82.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.67

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

Position in π

The digit sequence 21059 first appears in π at position 160,198 of the decimal expansion (the 160,198ordinal-suffix:th 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.