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Number

20,959

20,959 is a prime, odd.

20,959 (twenty thousand nine hundred fifty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x51DF.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
95,902
Recamán's sequence
a(41,921) = 20,959
Square (n²)
439,279,681
Cube (n³)
9,206,862,834,079
Divisor count
2
σ(n) — sum of divisors
20,960
φ(n) — Euler's totient
20,958

Primality

20,959 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20959
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,959)
1 × 20959
First multiples
20,959 · 41,918 (double) · 62,877 · 83,836 · 104,795 · 125,754 · 146,713 · 167,672 · 188,631 · 209,590

Sums & aliquot sequence

As consecutive integers: 10,479 + 10,480

Continued fraction of √n

√20,959 = [144; (1, 3, 2, 1, 1, 3, 1, 1, 1, 1, 6, 1, 4, 2, 1, 1, 9, 16, 1, 12, 1, 5, 1, 1, …)]

Representations

In words
twenty thousand nine hundred fifty-nine
Ordinal
20959th
Binary
101000111011111
Octal
50737
Hexadecimal
0x51DF
Base64
Ud8=
One's complement
44,576 (16-bit)
Scientific notation
2.0959 × 10⁴
As a duration
20,959 s = 5 hours, 49 minutes, 19 seconds
In other bases
ternary (3) 1001202021
quaternary (4) 11013133
quinary (5) 1132314
senary (6) 241011
septenary (7) 115051
nonary (9) 31667
undecimal (11) 14824
duodecimal (12) 10167
tridecimal (13) 9703
tetradecimal (14) 78d1
pentadecimal (15) 6324

As an angle

20,959° = 58 × 360° + 79°
79° ≈ 1.379 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κϡνθʹ
Mayan (base 20)
𝋢·𝋬·𝋧·𝋳
Chinese
二萬零九百五十九
Chinese (financial)
貳萬零玖佰伍拾玖
In other modern scripts
Eastern Arabic ٢٠٩٥٩ Devanagari २०९५९ Bengali ২০৯৫৯ Tamil ௨௦௯௫௯ Thai ๒๐๙๕๙ Tibetan ༢༠༩༥༩ Khmer ២០៩៥៩ Lao ໒໐໙໕໙ Burmese ၂၀၉၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 20,959 = 8
e — Euler's number (e)
Digit 20,959 = 8
φ — Golden ratio (φ)
Digit 20,959 = 0
√2 — Pythagoras's (√2)
Digit 20,959 = 1
ln 2 — Natural log of 2
Digit 20,959 = 0
γ — Euler-Mascheroni (γ)
Digit 20,959 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,947 (gap of 12)
  • Next prime: 20,963 (gap of 4)

Pair status: cousin with 20963.

Unicode codepoint
CJK Unified Ideograph-51Df
U+51DF
Other letter (Lo)

UTF-8 encoding: E5 87 9F (3 bytes).

Hex color
#0051DF
RGB(0, 81, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.223.

Address
0.0.81.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.223

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

Position in π

The digit sequence 20959 first appears in π at position 186,892 of the decimal expansion (the 186,892ordinal-suffix:nd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.