Number

8,461

8,461 is a prime, odd.

8,461 (eight thousand four hundred sixty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x210D.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

8,449 8,450 8,451 8,452 8,453 8,454 8,455 8,456 8,457 8,458 8,459 8,460 8,461 8,462 8,463 8,464 8,465 8,466 8,467 8,468 8,469 8,470 8,471 8,472 8,473

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 192
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 1,648
Recamán's sequence: a(51,921) = 8,461
Square (n²): 71,588,521
Cube (n³): 605,710,476,181
Divisor count: 2
σ(n) — sum of divisors: 8,462
φ(n) — Euler's totient: 8,460

Primality

8,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 8461

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 8,461)

1 × 8461

First multiples

8,461 · 16,922 (double) · 25,383 · 33,844 · 42,305 · 50,766 · 59,227 · 67,688 · 76,149 · 84,610

Sums & aliquot sequence

As a sum of two squares: 19² + 90²

As consecutive integers: 4,230 + 4,231

Continued fraction of √n

√8,461 = [91; (1, 60, 3, 20, 9, 6, 1, 2, 2, 1, 2, 1, 1, 9, 9, 1, 1, 2, 1, 2, 2, 1, 6, 9, …)]

Period length 29 — the block in parentheses repeats forever.

Representations

In words: eight thousand four hundred sixty-one
Ordinal: 8461st
Binary: 10000100001101
Octal: 20415
Hexadecimal: 0x210D
Base64: IQ0=
One's complement: 57,074 (16-bit)
Scientific notation: 8.461 × 10³
As a duration: 8,461 s = 2 hours, 21 minutes, 1 second

In other bases

ternary (3) 102121101

quaternary (4) 2010031

quinary (5) 232321

senary (6) 103101

septenary (7) 33445

nonary (9) 12541

undecimal (11) 63a2

duodecimal (12) 4a91

tridecimal (13) 3b0b

tetradecimal (14) 3125

pentadecimal (15) 2791

As an angle

8,461° = 23 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ηυξαʹ
Mayan (base 20): 𝋡·𝋡·𝋣·𝋡
Chinese: 八千四百六十一
Chinese (financial): 捌仟肆佰陸拾壹

In other modern scripts

Eastern Arabic ٨٤٦١ Devanagari ८४६१ Bengali ৮৪৬১ Tamil ௮௪௬௧ Thai ๘๔๖๑ Tibetan ༨༤༦༡ Khmer ៨៤៦១ Lao ໘໔໖໑ Burmese ၈၄၆၁

Digit at this position in famous constants

π — Pi (π): Digit 8,461 = 7
e — Euler's number (e): Digit 8,461 = 6
φ — Golden ratio (φ): Digit 8,461 = 6
√2 — Pythagoras's (√2): Digit 8,461 = 7
ln 2 — Natural log of 2: Digit 8,461 = 2
γ — Euler-Mascheroni (γ): Digit 8,461 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 8,447 (gap of 14)
Next prime: 8,467 (gap of 6)

Pair status: sexy with 8467.

Unicode codepoint

ℍ

Double-Struck Capital H

U+210D

Uppercase letter (Lu)

UTF-8 encoding: E2 84 8D (3 bytes).

Lookup U+210D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00210D

RGB(0, 33, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.33.13.

Address: 0.0.33.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.33.13

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

Musical pitch

Heard as a frequency, 8,461 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +20¢)

Position in π

The digit sequence 8461 first appears in π at position 9,950 of the decimal expansion (the 9,950ordinal-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 8461 on Pi Search ↗