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Number

6,091

6,091 is a prime, odd.

6,091 (six thousand ninety-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x17CB.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
1,906
Flips to (rotate 180°)
1,609
Recamán's sequence
a(12,581) = 6,091
Square (n²)
37,100,281
Cube (n³)
225,977,811,571
Divisor count
2
σ(n) — sum of divisors
6,092
φ(n) — Euler's totient
6,090

Primality

6,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,091)
1 × 6091
First multiples
6,091 · 12,182 (double) · 18,273 · 24,364 · 30,455 · 36,546 · 42,637 · 48,728 · 54,819 · 60,910

Sums & aliquot sequence

As consecutive integers: 3,045 + 3,046

Continued fraction of √n

√6,091 = [78; (22, 3, 2, 2, 1, 3, 10, 7, 2, 1, 51, 2, 1, 6, 1, 3, 4, 4, 1, 30, 2, 2, 4, 17, …)]

Representations

In words
six thousand ninety-one
Ordinal
6091st
Binary
1011111001011
Octal
13713
Hexadecimal
0x17CB
Base64
F8s=
One's complement
59,444 (16-bit)
Scientific notation
6.091 × 10³
As a duration
6,091 s = 1 hour, 41 minutes, 31 seconds
In other bases
ternary (3) 22100121
quaternary (4) 1133023
quinary (5) 143331
senary (6) 44111
septenary (7) 23521
nonary (9) 8317
undecimal (11) 4638
duodecimal (12) 3637
tridecimal (13) 2a07
tetradecimal (14) 2311
pentadecimal (15) 1c11

As an angle

6,091° = 16 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϛϟαʹ
Mayan (base 20)
𝋯·𝋤·𝋫
Chinese
六千零九十一
Chinese (financial)
陸仟零玖拾壹
In other modern scripts
Eastern Arabic ٦٠٩١ Devanagari ६०९१ Bengali ৬০৯১ Tamil ௬௦௯௧ Thai ๖๐๙๑ Tibetan ༦༠༩༡ Khmer ៦០៩១ Lao ໖໐໙໑ Burmese ၆၀၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 6,091 = 4
e — Euler's number (e)
Digit 6,091 = 8
φ — Golden ratio (φ)
Digit 6,091 = 4
√2 — Pythagoras's (√2)
Digit 6,091 = 8
ln 2 — Natural log of 2
Digit 6,091 = 4
γ — Euler-Mascheroni (γ)
Digit 6,091 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,089 (gap of 2)
  • Next prime: 6,101 (gap of 10)

Pair status: twin with 6089.

Unicode codepoint
Khmer Sign Bantoc
U+17CB
Non-spacing mark (Mn)

UTF-8 encoding: E1 9F 8B (3 bytes).

Hex color
#0017CB
RGB(0, 23, 203)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.203.

Address
0.0.23.203
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.203

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

Musical pitch

Heard as a frequency, 6,091 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +49¢ — about midway to G8)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -13¢)
  • Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -49¢ — about midway to G8)
Position in π

The digit sequence 6091 first appears in π at position 637 of the decimal expansion (the 637ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.