Live analysis

8,121

8,121 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

8,121 (eight thousand one hundred twenty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 2,707. Written other ways, in hexadecimal, 0x1FB9.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

8,109 8,110 8,111 8,112 8,113 8,114 8,115 8,116 8,117 8,118 8,119 8,120 8,121 8,122 8,123 8,124 8,125 8,126 8,127 8,128 8,129 8,130 8,131 8,132 8,133

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 12
Digit product: 16
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 1,218
Recamán's sequence: a(10,525) = 8,121
Square (n²): 65,950,641
Cube (n³): 535,585,155,561
Divisor count: 4
σ(n) — sum of divisors: 10,832
φ(n) — Euler's totient: 5,412
Sum of prime factors: 2,710

Primality

Prime factorization: 3 × 2707

Nearest primes: 8,117 (−4) · 8,123 (+2)

Divisors & multiples

All divisors (4)

1 · 3 · 2707 · 8121

Aliquot sum (sum of proper divisors): 2,711

Factor pairs (a × b = 8,121)

1 × 8121

3 × 2707

First multiples

8,121 · 16,242 (double) · 24,363 · 32,484 · 40,605 · 48,726 · 56,847 · 64,968 · 73,089 · 81,210

Sums & aliquot sequence

As consecutive integers: 4,060 + 4,061 2,706 + 2,707 + 2,708 1,351 + 1,352 + 1,353 + 1,354 + 1,355 + 1,356

Aliquot sequence: 8,121 → 2,711 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,121 = [90; (8, 1, 1, 2, 1, 2, 1, 25, 60, 25, 1, 2, 1, 2, 1, 1, 8, 180)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: eight thousand one hundred twenty-one
Ordinal: 8121st
Binary: 1111110111001
Octal: 17671
Hexadecimal: 0x1FB9
Base64: H7k=
One's complement: 57,414 (16-bit)
Scientific notation: 8.121 × 10³
As a duration: 8,121 s = 2 hours, 15 minutes, 21 seconds

In other bases

ternary (3) 102010210

quaternary (4) 1332321

quinary (5) 224441

senary (6) 101333

septenary (7) 32451

nonary (9) 12123

undecimal (11) 6113

duodecimal (12) 4849

tridecimal (13) 3909

tetradecimal (14) 2d61

pentadecimal (15) 2616

Palindromic in base 8

As an angle

8,121° = 22 × 360° + 201°

201° ≈ 3.508 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ηρκαʹ
Mayan (base 20): 𝋡·𝋠·𝋦·𝋡
Chinese: 八千一百二十一
Chinese (financial): 捌仟壹佰貳拾壹

In other modern scripts

Eastern Arabic ٨١٢١ Devanagari ८१२१ Bengali ৮১২১ Tamil ௮௧௨௧ Thai ๘๑๒๑ Tibetan ༨༡༢༡ Khmer ៨១២១ Lao ໘໑໒໑ Burmese ၈၁၂၁

Digit at this position in famous constants

π — Pi (π): Digit 8,121 = 9
e — Euler's number (e): Digit 8,121 = 5
φ — Golden ratio (φ): Digit 8,121 = 6
√2 — Pythagoras's (√2): Digit 8,121 = 8
ln 2 — Natural log of 2: Digit 8,121 = 9
γ — Euler-Mascheroni (γ): Digit 8,121 = 9

Also seen as

Unicode codepoint

Ᾱ

Greek Capital Letter Alpha With Macron

U+1FB9

Uppercase letter (Lu)

UTF-8 encoding: E1 BE B9 (3 bytes).

Lookup U+1FB9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001FB9

RGB(0, 31, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.185.

Address: 0.0.31.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.185

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

Musical pitch

Heard as a frequency, 8,121 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +47¢ — about midway to C9)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -15¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +49¢ — about midway to C♯9)

Position in π

The digit sequence 8121 first appears in π at position 6,984 of the decimal expansion (the 6,984ordinal-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 8121 on Pi Search ↗