Number

4,591

4,591 is a prime, odd.

4,591 (four 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, 0x11EF.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,579 4,580 4,581 4,582 4,583 4,584 4,585 4,586 4,587 4,588 4,589 4,590 4,591 4,592 4,593 4,594 4,595 4,596 4,597 4,598 4,599 4,600 4,601 4,602 4,603

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 180
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 1,954
Recamán's sequence: a(5,558) = 4,591
Square (n²): 21,077,281
Cube (n³): 96,765,797,071
Divisor count: 2
σ(n) — sum of divisors: 4,592
φ(n) — Euler's totient: 4,590

Primality

4,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4591

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,591)

1 × 4591

First multiples

4,591 · 9,182 (double) · 13,773 · 18,364 · 22,955 · 27,546 · 32,137 · 36,728 · 41,319 · 45,910

Sums & aliquot sequence

As consecutive integers: 2,295 + 2,296

Continued fraction of √n

√4,591 = [67; (1, 3, 8, 1, 3, 1, 1, 1, 2, 67, 2, 1, 1, 1, 3, 1, 8, 3, 1, 134)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: four thousand five hundred ninety-one
Ordinal: 4591st
Binary: 1000111101111
Octal: 10757
Hexadecimal: 0x11EF
Base64: Ee8=
One's complement: 60,944 (16-bit)
Scientific notation: 4.591 × 10³
As a duration: 4,591 s = 1 hour, 16 minutes, 31 seconds

In other bases

ternary (3) 20022001

quaternary (4) 1013233

quinary (5) 121331

senary (6) 33131

septenary (7) 16246

nonary (9) 6261

undecimal (11) 34a4

duodecimal (12) 27a7

tridecimal (13) 2122

tetradecimal (14) 195d

pentadecimal (15) 1561

As an angle

4,591° = 12 × 360° + 271°

271° ≈ 4.73 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δφϟαʹ
Mayan (base 20): 𝋫·𝋩·𝋫
Chinese: 四千五百九十一
Chinese (financial): 肆仟伍佰玖拾壹

In other modern scripts

Eastern Arabic ٤٥٩١ Devanagari ४५९१ Bengali ৪৫৯১ Tamil ௪௫௯௧ Thai ๔๕๙๑ Tibetan ༤༥༩༡ Khmer ៤៥៩១ Lao ໔໕໙໑ Burmese ၄၅၉၁

Digit at this position in famous constants

π — Pi (π): Digit 4,591 = 4
e — Euler's number (e): Digit 4,591 = 1
φ — Golden ratio (φ): Digit 4,591 = 8
√2 — Pythagoras's (√2): Digit 4,591 = 6
ln 2 — Natural log of 2: Digit 4,591 = 2
γ — Euler-Mascheroni (γ): Digit 4,591 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,583 (gap of 8)
Next prime: 4,597 (gap of 6)

Pair status: sexy with 4597.

Unicode codepoint

ᇯ

Hangul Jongseong Ieung-Khieukh

U+11EF

Other letter (Lo)

UTF-8 encoding: E1 87 AF (3 bytes).

Lookup U+11EF on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0011EF

RGB(0, 17, 239)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.239.

Address: 0.0.17.239
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.239

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

Musical pitch

Heard as a frequency, 4,591 Hz is closest to:

Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, -2¢)
Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -39¢)

Position in π

The digit sequence 4591 first appears in π at position 3,238 of the decimal expansion (the 3,238ordinal-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 4591 on Pi Search ↗