Number

5,791

5,791 is a prime, odd.

5,791 (five thousand seven 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, 0x169F.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

5,779 5,780 5,781 5,782 5,783 5,784 5,785 5,786 5,787 5,788 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

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Properties

Parity: Odd
Digit count: 4
Digit sum: 22
Digit product: 315
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 1,975
Recamán's sequence: a(3,830) = 5,791
Square (n²): 33,535,681
Cube (n³): 194,205,128,671
Divisor count: 2
σ(n) — sum of divisors: 5,792
φ(n) — Euler's totient: 5,790

Primality

5,791 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5791

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,791)

1 × 5791

First multiples

5,791 · 11,582 (double) · 17,373 · 23,164 · 28,955 · 34,746 · 40,537 · 46,328 · 52,119 · 57,910

Sums & aliquot sequence

As consecutive integers: 2,895 + 2,896

Continued fraction of √n

√5,791 = [76; (10, 7, 6, 1, 3, 2, 21, 3, 2, 1, 50, 30, 2, 2, 1, 1, 1, 1, 2, 4, 1, 6, 2, 3, …)]

Representations

In words: five thousand seven hundred ninety-one
Ordinal: 5791st
Binary: 1011010011111
Octal: 13237
Hexadecimal: 0x169F
Base64: Fp8=
One's complement: 59,744 (16-bit)
Scientific notation: 5.791 × 10³
As a duration: 5,791 s = 1 hour, 36 minutes, 31 seconds

In other bases

ternary (3) 21221111

quaternary (4) 1122133

quinary (5) 141131

senary (6) 42451

septenary (7) 22612

nonary (9) 7844

undecimal (11) 4395

duodecimal (12) 3427

tridecimal (13) 2836

tetradecimal (14) 2179

pentadecimal (15) 1ab1

As an angle

5,791° = 16 × 360° + 31°

31° ≈ 0.541 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵εψϟαʹ
Mayan (base 20): 𝋮·𝋩·𝋫
Chinese: 五千七百九十一
Chinese (financial): 伍仟柒佰玖拾壹

In other modern scripts

Eastern Arabic ٥٧٩١ Devanagari ५७९१ Bengali ৫৭৯১ Tamil ௫௭௯௧ Thai ๕๗๙๑ Tibetan ༥༧༩༡ Khmer ៥៧៩១ Lao ໕໗໙໑ Burmese ၅၇၉၁

Digit at this position in famous constants

π — Pi (π): Digit 5,791 = 2
e — Euler's number (e): Digit 5,791 = 1
φ — Golden ratio (φ): Digit 5,791 = 2
√2 — Pythagoras's (√2): Digit 5,791 = 7
ln 2 — Natural log of 2: Digit 5,791 = 1
γ — Euler-Mascheroni (γ): Digit 5,791 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,783 (gap of 8)
Next prime: 5,801 (gap of 10)

Hex color

#00169F

RGB(0, 22, 159)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.159.

Address: 0.0.22.159
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.22.159

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

Musical pitch

Heard as a frequency, 5,791 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, -38¢)
Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, exact)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, -37¢)

Position in π

The digit sequence 5791 first appears in π at position 3,355 of the decimal expansion (the 3,355ordinal-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 5791 on Pi Search ↗