Number

4,691

4,691 is a prime, odd.

4,691 (four thousand six 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, 0x1253.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,679 4,680 4,681 4,682 4,683 4,684 4,685 4,686 4,687 4,688 4,689 4,690 4,691 4,692 4,693 4,694 4,695 4,696 4,697 4,698 4,699 4,700 4,701 4,702 4,703

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 20
Digit product: 216
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 1,964
Recamán's sequence: a(5,358) = 4,691
Square (n²): 22,005,481
Cube (n³): 103,227,711,371
Divisor count: 2
σ(n) — sum of divisors: 4,692
φ(n) — Euler's totient: 4,690

Primality

4,691 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4691

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,691)

1 × 4691

First multiples

4,691 · 9,382 (double) · 14,073 · 18,764 · 23,455 · 28,146 · 32,837 · 37,528 · 42,219 · 46,910

Sums & aliquot sequence

As consecutive integers: 2,345 + 2,346

Continued fraction of √n

√4,691 = [68; (2, 26, 1, 8, 1, 4, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 11, 1, 6, 3, 2, 5, 1, 3, …)]

Representations

In words: four thousand six hundred ninety-one
Ordinal: 4691st
Binary: 1001001010011
Octal: 11123
Hexadecimal: 0x1253
Base64: ElM=
One's complement: 60,844 (16-bit)
Scientific notation: 4.691 × 10³
As a duration: 4,691 s = 1 hour, 18 minutes, 11 seconds

In other bases

ternary (3) 20102202

quaternary (4) 1021103

quinary (5) 122231

senary (6) 33415

septenary (7) 16451

nonary (9) 6382

undecimal (11) 3585

duodecimal (12) 286b

tridecimal (13) 219b

tetradecimal (14) 19d1

pentadecimal (15) 15cb

As an angle

4,691° = 13 × 360° + 11°

11° ≈ 0.192 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δχϟαʹ
Mayan (base 20): 𝋫·𝋮·𝋫
Chinese: 四千六百九十一
Chinese (financial): 肆仟陸佰玖拾壹

In other modern scripts

Eastern Arabic ٤٦٩١ Devanagari ४६९१ Bengali ৪৬৯১ Tamil ௪௬௯௧ Thai ๔๖๙๑ Tibetan ༤༦༩༡ Khmer ៤៦៩១ Lao ໔໖໙໑ Burmese ၄၆၉၁

Digit at this position in famous constants

π — Pi (π): Digit 4,691 = 3
e — Euler's number (e): Digit 4,691 = 7
φ — Golden ratio (φ): Digit 4,691 = 5
√2 — Pythagoras's (√2): Digit 4,691 = 3
ln 2 — Natural log of 2: Digit 4,691 = 9
γ — Euler-Mascheroni (γ): Digit 4,691 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,679 (gap of 12)
Next prime: 4,703 (gap of 12)

Unicode codepoint

ቓ

Ethiopic Syllable Qhaa

U+1253

Other letter (Lo)

UTF-8 encoding: E1 89 93 (3 bytes).

Lookup U+1253 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001253

RGB(0, 18, 83)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.83.

Address: 0.0.18.83
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.18.83

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

Musical pitch

Heard as a frequency, 4,691 Hz is closest to:

Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, -2¢)

Position in π

The digit sequence 4691 first appears in π at position 9,884 of the decimal expansion (the 9,884ordinal-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 4691 on Pi Search ↗