Live analysis

8,421

8,421 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.).

8,421 (eight thousand four hundred twenty-one) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 401. Written other ways, in hexadecimal, 0x20E5.

Arithmetic Number Cube-Free Deficient Number Descending Digits Evil Number Recamán's Sequence Self Number Smith Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

8,409 8,410 8,411 8,412 8,413 8,414 8,415 8,416 8,417 8,418 8,419 8,420 8,421 8,422 8,423 8,424 8,425 8,426 8,427 8,428 8,429 8,430 8,431 8,432 8,433

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 64
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 1,248
Recamán's sequence: a(2,889) = 8,421
Square (n²): 70,913,241
Cube (n³): 597,160,402,461
Divisor count: 8
σ(n) — sum of divisors: 12,864
φ(n) — Euler's totient: 4,800
Sum of prime factors: 411

Primality

Prime factorization: 3 × 7 × 401

Nearest primes: 8,419 (−2) · 8,423 (+2)

Divisors & multiples

All divisors (8)

1 · 3 · 7 · 21 · 401 · 1203 · 2807 · 8421

Aliquot sum (sum of proper divisors): 4,443

Factor pairs (a × b = 8,421)

1 × 8421

3 × 2807

7 × 1203

21 × 401

First multiples

8,421 · 16,842 (double) · 25,263 · 33,684 · 42,105 · 50,526 · 58,947 · 67,368 · 75,789 · 84,210

Sums & aliquot sequence

As consecutive integers: 4,210 + 4,211 2,806 + 2,807 + 2,808 1,401 + 1,402 + 1,403 + 1,404 + 1,405 + 1,406 1,200 + 1,201 + … + 1,206

Aliquot sequence: 8,421 → 4,443 → 1,485 → 1,395 → 1,101 → 371 → 61 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,421 = [91; (1, 3, 3, 1, 1, 1, 8, 1, 1, 6, 36, 1, 1, 4, 5, 45, 1, 2, 4, 7, 9, 26, 9, 7, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: eight thousand four hundred twenty-one
Ordinal: 8421st
Binary: 10000011100101
Octal: 20345
Hexadecimal: 0x20E5
Base64: IOU=
One's complement: 57,114 (16-bit)
Scientific notation: 8.421 × 10³
As a duration: 8,421 s = 2 hours, 20 minutes, 21 seconds

In other bases

ternary (3) 102112220

quaternary (4) 2003211

quinary (5) 232141

senary (6) 102553

septenary (7) 33360

nonary (9) 12486

undecimal (11) 6366

duodecimal (12) 4a59

tridecimal (13) 3aaa

tetradecimal (14) 30d7

pentadecimal (15) 2766

As an angle

8,421° = 23 × 360° + 141°

141° ≈ 2.461 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ηυκαʹ
Mayan (base 20): 𝋡·𝋡·𝋡·𝋡
Chinese: 八千四百二十一
Chinese (financial): 捌仟肆佰貳拾壹

In other modern scripts

Eastern Arabic ٨٤٢١ Devanagari ८४२१ Bengali ৮৪২১ Tamil ௮௪௨௧ Thai ๘๔๒๑ Tibetan ༨༤༢༡ Khmer ៨៤២១ Lao ໘໔໒໑ Burmese ၈၄၂၁

Digit at this position in famous constants

π — Pi (π): Digit 8,421 = 0
e — Euler's number (e): Digit 8,421 = 7
φ — Golden ratio (φ): Digit 8,421 = 8
√2 — Pythagoras's (√2): Digit 8,421 = 8
ln 2 — Natural log of 2: Digit 8,421 = 7
γ — Euler-Mascheroni (γ): Digit 8,421 = 6

Also seen as

Unicode codepoint

⃥

Combining Reverse Solidus Overlay

U+20E5

Non-spacing mark (Mn)

UTF-8 encoding: E2 83 A5 (3 bytes).

Lookup U+20E5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0020E5

RGB(0, 32, 229)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.229.

Address: 0.0.32.229
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.229

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

Musical pitch

Heard as a frequency, 8,421 Hz is closest to:

Concert pitch (A4 = 440 Hz): C9 (8372 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +48¢ — about midway to C♯9)
Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, +11¢)

Position in π

The digit sequence 8421 first appears in π at position 17,313 of the decimal expansion (the 17,313ordinal-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 8421 on Pi Search ↗