Live analysis

4,380

4,380 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.).

4,380 (four thousand three hundred eighty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 73. Its proper divisors sum to 8,052, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x111C.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,368 4,369 4,370 4,371 4,372 4,373 4,374 4,375 4,376 4,377 4,378 4,379 4,380 4,381 4,382 4,383 4,384 4,385 4,386 4,387 4,388 4,389 4,390 4,391 4,392

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 834
Recamán's sequence: a(13,947) = 4,380
Square (n²): 19,184,400
Cube (n³): 84,027,672,000
Divisor count: 24
σ(n) — sum of divisors: 12,432
φ(n) — Euler's totient: 1,152
Sum of prime factors: 85

Primality

Prime factorization: 2 ² × 3 × 5 × 73

Nearest primes: 4,373 (−7) · 4,391 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 73 · 146 · 219 · 292 · 365 · 438 · 730 · 876 · 1095 · 1460 · 2190 (half) · 4380

Aliquot sum (sum of proper divisors): 8,052

Factor pairs (a × b = 4,380)

1 × 4380

2 × 2190

3 × 1460

4 × 1095

5 × 876

6 × 730

10 × 438

12 × 365

15 × 292

20 × 219

30 × 146

60 × 73

First multiples

4,380 · 8,760 (double) · 13,140 · 17,520 · 21,900 · 26,280 · 30,660 · 35,040 · 39,420 · 43,800

Sums & aliquot sequence

As consecutive integers: 1,459 + 1,460 + 1,461 874 + 875 + 876 + 877 + 878 544 + 545 + … + 551 285 + 286 + … + 299

Aliquot sequence: 4,380 → 8,052 → 12,780 → 26,532 → 47,724 → 67,524 → 99,804 → 133,100 → 184,588 → 138,448 → 146,132 → 164,332 → 164,388 → 301,532 → 368,788 → 368,844 → 614,964 — unresolved within range

Continued fraction of √n

√4,380 = [66; (5, 1, 1, 32, 1, 1, 5, 132)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four thousand three hundred eighty
Ordinal: 4380th
Binary: 1000100011100
Octal: 10434
Hexadecimal: 0x111C
Base64: ERw=
One's complement: 61,155 (16-bit)
Scientific notation: 4.38 × 10³
As a duration: 4,380 s = 1 hour, 13 minutes

In other bases

ternary (3) 20000020

quaternary (4) 1010130

quinary (5) 120010

senary (6) 32140

septenary (7) 15525

nonary (9) 6006

undecimal (11) 3322

duodecimal (12) 2650

tridecimal (13) 1cbc

tetradecimal (14) 184c

pentadecimal (15) 1470

Palindromic in base 9

As an angle

4,380° = 12 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δτπʹ
Mayan (base 20): 𝋪·𝋳·𝋠
Chinese: 四千三百八十
Chinese (financial): 肆仟參佰捌拾

In other modern scripts

Eastern Arabic ٤٣٨٠ Devanagari ४३८० Bengali ৪৩৮০ Tamil ௪௩௮௦ Thai ๔๓๘๐ Tibetan ༤༣༨༠ Khmer ៤៣៨០ Lao ໔໓໘໐ Burmese ၄၃၈၀

Digit at this position in famous constants

π — Pi (π): Digit 4,380 = 9
e — Euler's number (e): Digit 4,380 = 5
φ — Golden ratio (φ): Digit 4,380 = 1
√2 — Pythagoras's (√2): Digit 4,380 = 0
ln 2 — Natural log of 2: Digit 4,380 = 8
γ — Euler-Mascheroni (γ): Digit 4,380 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4380, here are decompositions:

7 + 4373 = 4380
17 + 4363 = 4380
23 + 4357 = 4380
31 + 4349 = 4380
41 + 4339 = 4380
43 + 4337 = 4380
53 + 4327 = 4380
83 + 4297 = 4380

Showing the first eight; more decompositions exist.

Unicode codepoint

ᄜ

Hangul Choseong Mieum-Pieup

U+111C

Other letter (Lo)

UTF-8 encoding: E1 84 9C (3 bytes).

Lookup U+111C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00111C

RGB(0, 17, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.28.

Address: 0.0.17.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.28

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

Musical pitch

Heard as a frequency, 4,380 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -20¢)

Position in π

The digit sequence 4380 first appears in π at position 15,453 of the decimal expansion (the 15,453ordinal-suffix:rd 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 4380 on Pi Search ↗