Number

3,463

3,463 is a prime, odd.

3,463 (three thousand four hundred sixty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCDLXIII and in binary, 110110000111.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,451 3,452 3,453 3,454 3,455 3,456 3,457 3,458 3,459 3,460 3,461 3,462 3,463 3,464 3,465 3,466 3,467 3,468 3,469 3,470 3,471 3,472 3,473 3,474 3,475

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 216
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 3,643
Recamán's sequence: a(14,965) = 3,463
Square (n²): 11,992,369
Cube (n³): 41,529,573,847
Divisor count: 2
σ(n) — sum of divisors: 3,464
φ(n) — Euler's totient: 3,462

Primality

3,463 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3463

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,463)

1 × 3463

First multiples

3,463 · 6,926 (double) · 10,389 · 13,852 · 17,315 · 20,778 · 24,241 · 27,704 · 31,167 · 34,630

Sums & aliquot sequence

As consecutive integers: 1,731 + 1,732

Continued fraction of √n

√3,463 = [58; (1, 5, 1, 1, 4, 1, 4, 3, 2, 1, 3, 1, 1, 1, 18, 1, 38, 3, 1, 1, 5, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred sixty-three
Ordinal: 3463rd
Roman numeral: MMMCDLXIII
Binary: 110110000111
Octal: 6607
Hexadecimal: 0xD87
Base64: DYc=
One's complement: 62,072 (16-bit)
Scientific notation: 3.463 × 10³
As a duration: 3,463 s = 57 minutes, 43 seconds

In other bases

ternary (3) 11202021

quaternary (4) 312013

quinary (5) 102323

senary (6) 24011

septenary (7) 13045

nonary (9) 4667

undecimal (11) 2669

duodecimal (12) 2007

tridecimal (13) 1765

tetradecimal (14) 1395

pentadecimal (15) 105d

As an angle

3,463° = 9 × 360° + 223°

223° ≈ 3.892 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γυξγʹ
Mayan (base 20): 𝋨·𝋭·𝋣
Chinese: 三千四百六十三
Chinese (financial): 參仟肆佰陸拾參

In other modern scripts

Eastern Arabic ٣٤٦٣ Devanagari ३४६३ Bengali ৩৪৬৩ Tamil ௩௪௬௩ Thai ๓๔๖๓ Tibetan ༣༤༦༣ Khmer ៣៤៦៣ Lao ໓໔໖໓ Burmese ၃၄၆၃

Digit at this position in famous constants

π — Pi (π): Digit 3,463 = 7
e — Euler's number (e): Digit 3,463 = 0
φ — Golden ratio (φ): Digit 3,463 = 2
√2 — Pythagoras's (√2): Digit 3,463 = 3
ln 2 — Natural log of 2: Digit 3,463 = 8
γ — Euler-Mascheroni (γ): Digit 3,463 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,461 (gap of 2)
Next prime: 3,467 (gap of 4)

Pair status: twin with 3461, cousin with 3467.

Unicode codepoint

ඇ

Sinhala Letter Aeyanna

U+0D87

Other letter (Lo)

UTF-8 encoding: E0 B6 87 (3 bytes).

Lookup U+0D87 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D87

RGB(0, 13, 135)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.135.

Address: 0.0.13.135
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.135

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

Musical pitch

Heard as a frequency, 3,463 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -28¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +9¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -27¢)

Position in π

The digit sequence 3463 first appears in π at position 11,694 of the decimal expansion (the 11,694ordinal-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 3463 on Pi Search ↗