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Number

5,591

5,591 is a prime, odd.

5,591 (five thousand five hundred ninety-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x15D7.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
225
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
1,955
Recamán's sequence
a(3,430) = 5,591
Square (n²)
31,259,281
Cube (n³)
174,770,640,071
Divisor count
2
σ(n) — sum of divisors
5,592
φ(n) — Euler's totient
5,590

Primality

5,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5591
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,591)
1 × 5591
First multiples
5,591 · 11,182 (double) · 16,773 · 22,364 · 27,955 · 33,546 · 39,137 · 44,728 · 50,319 · 55,910

Sums & aliquot sequence

As consecutive integers: 2,795 + 2,796

Continued fraction of √n

√5,591 = [74; (1, 3, 2, 2, 7, 2, 6, 29, 1, 3, 13, 2, 1, 10, 1, 4, 1, 5, 6, 1, 1, 1, 2, 14, …)]

Representations

In words
five thousand five hundred ninety-one
Ordinal
5591st
Binary
1010111010111
Octal
12727
Hexadecimal
0x15D7
Base64
Fdc=
One's complement
59,944 (16-bit)
Scientific notation
5.591 × 10³
As a duration
5,591 s = 1 hour, 33 minutes, 11 seconds
In other bases
ternary (3) 21200002
quaternary (4) 1113113
quinary (5) 134331
senary (6) 41515
septenary (7) 22205
nonary (9) 7602
undecimal (11) 4223
duodecimal (12) 329b
tridecimal (13) 2711
tetradecimal (14) 2075
pentadecimal (15) 19cb

As an angle

5,591° = 15 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵εφϟαʹ
Mayan (base 20)
𝋭·𝋳·𝋫
Chinese
五千五百九十一
Chinese (financial)
伍仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ٥٥٩١ Devanagari ५५९१ Bengali ৫৫৯১ Tamil ௫௫௯௧ Thai ๕๕๙๑ Tibetan ༥༥༩༡ Khmer ៥៥៩១ Lao ໕໕໙໑ Burmese ၅၅၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,591 = 9
e — Euler's number (e)
Digit 5,591 = 0
φ — Golden ratio (φ)
Digit 5,591 = 5
√2 — Pythagoras's (√2)
Digit 5,591 = 6
ln 2 — Natural log of 2
Digit 5,591 = 1
γ — Euler-Mascheroni (γ)
Digit 5,591 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,581 (gap of 10)
  • Next prime: 5,623 (gap of 32)
Unicode codepoint
Canadian Syllabics Carrier Hwo
U+15D7
Other letter (Lo)

UTF-8 encoding: E1 97 97 (3 bytes).

Hex color
#0015D7
RGB(0, 21, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.215.

Address
0.0.21.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.21.215

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

Musical pitch

Heard as a frequency, 5,591 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +1¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +39¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +2¢)
Position in π

The digit sequence 5591 first appears in π at position 11,168 of the decimal expansion (the 11,168ordinal-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.