Number

5,801

5,801 is a prime, odd.

5,801 (five thousand eight hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x16A9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

5,789 5,790 5,791 5,792 5,793 5,794 5,795 5,796 5,797 5,798 5,799 5,800 5,801 5,802 5,803 5,804 5,805 5,806 5,807 5,808 5,809 5,810 5,811 5,812 5,813

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 1,085
Recamán's sequence: a(3,850) = 5,801
Square (n²): 33,651,601
Cube (n³): 195,212,937,401
Divisor count: 2
σ(n) — sum of divisors: 5,802
φ(n) — Euler's totient: 5,800

Primality

5,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5801

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,801)

1 × 5801

First multiples

5,801 · 11,602 (double) · 17,403 · 23,204 · 29,005 · 34,806 · 40,607 · 46,408 · 52,209 · 58,010

Sums & aliquot sequence

As a sum of two squares: 5² + 76²

As consecutive integers: 2,900 + 2,901

Continued fraction of √n

√5,801 = [76; (6, 11, 1, 1, 4, 2, 1, 1, 4, 1, 1, 1, 18, 2, 1, 1, 8, 2, 1, 3, 7, 1, 2, 1, …)]

Representations

In words: five thousand eight hundred one
Ordinal: 5801st
Binary: 1011010101001
Octal: 13251
Hexadecimal: 0x16A9
Base64: Fqk=
One's complement: 59,734 (16-bit)
Scientific notation: 5.801 × 10³
As a duration: 5,801 s = 1 hour, 36 minutes, 41 seconds

In other bases

ternary (3) 21221212

quaternary (4) 1122221

quinary (5) 141201

senary (6) 42505

septenary (7) 22625

nonary (9) 7855

undecimal (11) 43a4

duodecimal (12) 3435

tridecimal (13) 2843

tetradecimal (14) 2185

pentadecimal (15) 1abb

As an angle

5,801° = 16 × 360° + 41°

41° ≈ 0.716 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵εωαʹ
Mayan (base 20): 𝋮·𝋪·𝋡
Chinese: 五千八百零一
Chinese (financial): 伍仟捌佰零壹

In other modern scripts

Eastern Arabic ٥٨٠١ Devanagari ५८०१ Bengali ৫৮০১ Tamil ௫௮௦௧ Thai ๕๘๐๑ Tibetan ༥༨༠༡ Khmer ៥៨០១ Lao ໕໘໐໑ Burmese ၅၈၀၁

Digit at this position in famous constants

π — Pi (π): Digit 5,801 = 5
e — Euler's number (e): Digit 5,801 = 9
φ — Golden ratio (φ): Digit 5,801 = 2
√2 — Pythagoras's (√2): Digit 5,801 = 1
ln 2 — Natural log of 2: Digit 5,801 = 1
γ — Euler-Mascheroni (γ): Digit 5,801 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,791 (gap of 10)
Next prime: 5,807 (gap of 6)

Pair status: sexy with 5807.

Unicode codepoint

ᚩ

Runic Letter Os O

U+16A9

Other letter (Lo)

UTF-8 encoding: E1 9A A9 (3 bytes).

Lookup U+16A9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0016A9

RGB(0, 22, 169)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.169.

Address: 0.0.22.169
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.22.169

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

Musical pitch

Heard as a frequency, 5,801 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -35¢)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -34¢)

Position in π

The digit sequence 5801 first appears in π at position 25,336 of the decimal expansion (the 25,336ordinal-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.

Look up 5801 on Pi Search ↗