number.wiki
Number

10,559

10,559 is a prime, odd.

10,559 (ten thousand five 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, 0x293F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Safe Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
95,501
Recamán's sequence
a(50,401) = 10,559
Square (n²)
111,492,481
Cube (n³)
1,177,249,106,879
Divisor count
2
σ(n) — sum of divisors
10,560
φ(n) — Euler's totient
10,558

Primality

10,559 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10559
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,559)
1 × 10559
First multiples
10,559 · 21,118 (double) · 31,677 · 42,236 · 52,795 · 63,354 · 73,913 · 84,472 · 95,031 · 105,590

Sums & aliquot sequence

As consecutive integers: 5,279 + 5,280

Continued fraction of √n

√10,559 = [102; (1, 3, 8, 1, 2, 5, 1, 2, 3, 7, 1, 1, 1, 1, 6, 40, 1, 19, 1, 1, 2, 1, 4, 15, …)]

Representations

In words
ten thousand five hundred fifty-nine
Ordinal
10559th
Binary
10100100111111
Octal
24477
Hexadecimal
0x293F
Base64
KT8=
One's complement
54,976 (16-bit)
Scientific notation
1.0559 × 10⁴
As a duration
10,559 s = 2 hours, 55 minutes, 59 seconds
In other bases
ternary (3) 112111002
quaternary (4) 2210333
quinary (5) 314214
senary (6) 120515
septenary (7) 42533
nonary (9) 15432
undecimal (11) 7a2a
duodecimal (12) 613b
tridecimal (13) 4a63
tetradecimal (14) 3bc3
pentadecimal (15) 31de

As an angle

10,559° = 29 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιφνθʹ
Mayan (base 20)
𝋡·𝋦·𝋧·𝋳
Chinese
一萬零五百五十九
Chinese (financial)
壹萬零伍佰伍拾玖
In other modern scripts
Eastern Arabic ١٠٥٥٩ Devanagari १०५५९ Bengali ১০৫৫৯ Tamil ௧௦௫௫௯ Thai ๑๐๕๕๙ Tibetan ༡༠༥༥༩ Khmer ១០៥៥៩ Lao ໑໐໕໕໙ Burmese ၁၀၅၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,559 = 3
e — Euler's number (e)
Digit 10,559 = 5
φ — Golden ratio (φ)
Digit 10,559 = 2
√2 — Pythagoras's (√2)
Digit 10,559 = 5
ln 2 — Natural log of 2
Digit 10,559 = 8
γ — Euler-Mascheroni (γ)
Digit 10,559 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,531 (gap of 28)
  • Next prime: 10,567 (gap of 8)
Unicode codepoint
⤿
Lower Left Semicircular Anticlockwise Arrow
U+293F
Math symbol (Sm)

UTF-8 encoding: E2 A4 BF (3 bytes).

Hex color
#00293F
RGB(0, 41, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.63.

Address
0.0.41.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.63

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

Musical pitch

Heard as a frequency, 10,559 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +2¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +39¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +3¢)
Position in π

The digit sequence 10559 first appears in π at position 9,837 of the decimal expansion (the 9,837ordinal-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.