Live analysis

8,420

8,420 is a composite number, even.

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.).

8,420 (eight thousand four hundred twenty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 421. Its proper divisors sum to 9,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E4.

Abundant Number Arithmetic Number Cube-Free Descending Digits Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,408 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 248
Recamán's sequence: a(2,891) = 8,420
Square (n²): 70,896,400
Cube (n³): 596,947,688,000
Divisor count: 12
σ(n) — sum of divisors: 17,724
φ(n) — Euler's totient: 3,360
Sum of prime factors: 430

Primality

Prime factorization: 2 ² × 5 × 421

Nearest primes: 8,419 (−1) · 8,423 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 421 · 842 · 1684 · 2105 · 4210 (half) · 8420

Aliquot sum (sum of proper divisors): 9,304

Factor pairs (a × b = 8,420)

1 × 8420

2 × 4210

4 × 2105

5 × 1684

10 × 842

20 × 421

First multiples

8,420 · 16,840 (double) · 25,260 · 33,680 · 42,100 · 50,520 · 58,940 · 67,360 · 75,780 · 84,200

Sums & aliquot sequence

As a sum of two squares: 26² + 88² = 32² + 86²

As consecutive integers: 1,682 + 1,683 + 1,684 + 1,685 + 1,686 1,049 + 1,050 + … + 1,056 191 + 192 + … + 230

Aliquot sequence: 8,420 → 9,304 → 8,156 → 6,124 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 → 1 → 0 — terminates at zero

Continued fraction of √n

√8,420 = [91; (1, 3, 5, 1, 2, 36, 2, 1, 5, 3, 1, 182)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: eight thousand four hundred twenty
Ordinal: 8420th
Binary: 10000011100100
Octal: 20344
Hexadecimal: 0x20E4
Base64: IOQ=
One's complement: 57,115 (16-bit)
Scientific notation: 8.42 × 10³
As a duration: 8,420 s = 2 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 102112212

quaternary (4) 2003210

quinary (5) 232140

senary (6) 102552

septenary (7) 33356

nonary (9) 12485

undecimal (11) 6365

duodecimal (12) 4a58

tridecimal (13) 3aa9

tetradecimal (14) 30d6

pentadecimal (15) 2765

As an angle

8,420° = 23 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ηυκʹ
Mayan (base 20): 𝋡·𝋡·𝋡·𝋠
Chinese: 八千四百二十
Chinese (financial): 捌仟肆佰貳拾

In other modern scripts

Eastern Arabic ٨٤٢٠ Devanagari ८४२० Bengali ৮৪২০ Tamil ௮௪௨௦ Thai ๘๔๒๐ Tibetan ༨༤༢༠ Khmer ៨៤២០ Lao ໘໔໒໐ Burmese ၈၄၂၀

Digit at this position in famous constants

π — Pi (π): Digit 8,420 = 1
e — Euler's number (e): Digit 8,420 = 3
φ — Golden ratio (φ): Digit 8,420 = 9
√2 — Pythagoras's (√2): Digit 8,420 = 4
ln 2 — Natural log of 2: Digit 8,420 = 9
γ — Euler-Mascheroni (γ): Digit 8,420 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8420, here are decompositions:

31 + 8389 = 8420
43 + 8377 = 8420
67 + 8353 = 8420
103 + 8317 = 8420
109 + 8311 = 8420
127 + 8293 = 8420
151 + 8269 = 8420
157 + 8263 = 8420

Showing the first eight; more decompositions exist.

Unicode codepoint

⃤

Combining Enclosing Upward Pointing Triangle

U+20E4

Enclosing mark (Me)

UTF-8 encoding: E2 83 A4 (3 bytes).

Lookup U+20E4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0020E4

RGB(0, 32, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.228.

Address: 0.0.32.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.228

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

Musical pitch

Heard as a frequency, 8,420 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 8420 first appears in π at position 6,517 of the decimal expansion (the 6,517ordinal-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 8420 on Pi Search ↗