Number

18,461

18,461 is a prime, odd.

18,461 (eighteen thousand four hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x481D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

18,449 18,450 18,451 18,452 18,453 18,454 18,455 18,456 18,457 18,458 18,459 18,460 18,461 18,462 18,463 18,464 18,465 18,466 18,467 18,468 18,469 18,470 18,471 18,472 18,473

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 20
Digit product: 192
Digital root: 2
Palindrome: No
Bit width: 15 bits
Reversed: 16,481
Recamán's sequence: a(8,982) = 18,461
Square (n²): 340,808,521
Cube (n³): 6,291,666,106,181
Divisor count: 2
σ(n) — sum of divisors: 18,462
φ(n) — Euler's totient: 18,460

Primality

18,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 18461

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 18,461)

1 × 18461

First multiples

18,461 · 36,922 (double) · 55,383 · 73,844 · 92,305 · 110,766 · 129,227 · 147,688 · 166,149 · 184,610

Sums & aliquot sequence

As a sum of two squares: 85² + 106²

As consecutive integers: 9,230 + 9,231

Continued fraction of √n

√18,461 = [135; (1, 6, 1, 3, 3, 3, 1, 2, 4, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 5, 1, 12, 1, 2, …)]

Representations

In words: eighteen thousand four hundred sixty-one
Ordinal: 18461st
Binary: 100100000011101
Octal: 44035
Hexadecimal: 0x481D
Base64: SB0=
One's complement: 47,074 (16-bit)
Scientific notation: 1.8461 × 10⁴
As a duration: 18,461 s = 5 hours, 7 minutes, 41 seconds

In other bases

ternary (3) 221022202

quaternary (4) 10200131

quinary (5) 1042321

senary (6) 221245

septenary (7) 104552

nonary (9) 27282

undecimal (11) 12963

duodecimal (12) a825

tridecimal (13) 8531

tetradecimal (14) 6a29

pentadecimal (15) 570b

As an angle

18,461° = 51 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιηυξαʹ
Mayan (base 20): 𝋢·𝋦·𝋣·𝋡
Chinese: 一萬八千四百六十一
Chinese (financial): 壹萬捌仟肆佰陸拾壹

In other modern scripts

Eastern Arabic ١٨٤٦١ Devanagari १८४६१ Bengali ১৮৪৬১ Tamil ௧௮௪௬௧ Thai ๑๘๔๖๑ Tibetan ༡༨༤༦༡ Khmer ១៨៤៦១ Lao ໑໘໔໖໑ Burmese ၁၈၄၆၁

Digit at this position in famous constants

π — Pi (π): Digit 18,461 = 8
e — Euler's number (e): Digit 18,461 = 1
φ — Golden ratio (φ): Digit 18,461 = 2
√2 — Pythagoras's (√2): Digit 18,461 = 9
ln 2 — Natural log of 2: Digit 18,461 = 7
γ — Euler-Mascheroni (γ): Digit 18,461 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 18,457 (gap of 4)
Next prime: 18,481 (gap of 20)

Pair status: cousin with 18457.

Unicode codepoint

䠝

CJK Unified Ideograph-481D

U+481D

Other letter (Lo)

UTF-8 encoding: E4 A0 9D (3 bytes).

Lookup U+481D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00481D

RGB(0, 72, 29)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.72.29.

Address: 0.0.72.29
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.72.29

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

Musical pitch

Heard as a frequency, 18,461 Hz is closest to:

Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -30¢)

Position in π

The digit sequence 18461 first appears in π at position 145,752 of the decimal expansion (the 145,752ordinal-suffix:nd 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 18461 on Pi Search ↗