Live analysis

4,320

4,320 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.).

4,320 (four thousand three hundred twenty) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3³ × 5. Its proper divisors sum to 10,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10E0.

Abundant Number Arithmetic Number Descending Digits Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

4,308 4,309 4,310 4,311 4,312 4,313 4,314 4,315 4,316 4,317 4,318 4,319 4,320 4,321 4,322 4,323 4,324 4,325 4,326 4,327 4,328 4,329 4,330 4,331 4,332

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 234
Recamán's sequence: a(14,067) = 4,320
Square (n²): 18,662,400
Cube (n³): 80,621,568,000
Divisor count: 48
σ(n) — sum of divisors: 15,120
φ(n) — Euler's totient: 1,152
Sum of prime factors: 24

Primality

Prime factorization: 2 ⁵ × 3 ³ × 5

Nearest primes: 4,297 (−23) · 4,327 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 80 · 90 · 96 · 108 · 120 · 135 · 144 · 160 · 180 · 216 · 240 · 270 · 288 · 360 · 432 · 480 · 540 · 720 · 864 · 1080 · 1440 · 2160 (half) · 4320

Aliquot sum (sum of proper divisors): 10,800

Factor pairs (a × b = 4,320)

1 × 4320

2 × 2160

3 × 1440

4 × 1080

5 × 864

6 × 720

8 × 540

9 × 480

10 × 432

12 × 360

15 × 288

16 × 270

18 × 240

20 × 216

24 × 180

27 × 160

30 × 144

32 × 135

36 × 120

40 × 108

45 × 96

48 × 90

54 × 80

60 × 72

First multiples

4,320 · 8,640 (double) · 12,960 · 17,280 · 21,600 · 25,920 · 30,240 · 34,560 · 38,880 · 43,200

Sums & aliquot sequence

As consecutive integers: 1,439 + 1,440 + 1,441 862 + 863 + 864 + 865 + 866 476 + 477 + … + 484 281 + 282 + … + 295

Aliquot sequence: 4,320 → 10,800 → 27,640 → 34,640 → 46,084 → 36,824 → 32,236 → 24,184 → 21,176 → 18,544 → 19,896 → 29,904 → 59,376 → 94,136 → 112,624 → 105,616 → 144,368 — unresolved within range

Continued fraction of √n

√4,320 = [65; (1, 2, 1, 1, 1, 13, 1, 31, 1, 13, 1, 1, 1, 2, 1, 130)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: four thousand three hundred twenty
Ordinal: 4320th
Binary: 1000011100000
Octal: 10340
Hexadecimal: 0x10E0
Base64: EOA=
One's complement: 61,215 (16-bit)
Scientific notation: 4.32 × 10³
As a duration: 4,320 s = 1 hour, 12 minutes

In other bases

ternary (3) 12221000

quaternary (4) 1003200

quinary (5) 114240

senary (6) 32000

septenary (7) 15411

nonary (9) 5830

undecimal (11) 3278

duodecimal (12) 2600

tridecimal (13) 1c74

tetradecimal (14) 1808

pentadecimal (15) 1430

As an angle

4,320° = 12 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵δτκʹ
Mayan (base 20): 𝋪·𝋰·𝋠
Chinese: 四千三百二十
Chinese (financial): 肆仟參佰貳拾

In other modern scripts

Eastern Arabic ٤٣٢٠ Devanagari ४३२० Bengali ৪৩২০ Tamil ௪௩௨௦ Thai ๔๓๒๐ Tibetan ༤༣༢༠ Khmer ៤៣២០ Lao ໔໓໒໐ Burmese ၄၃၂၀

Digit at this position in famous constants

π — Pi (π): Digit 4,320 = 3
e — Euler's number (e): Digit 4,320 = 2
φ — Golden ratio (φ): Digit 4,320 = 8
√2 — Pythagoras's (√2): Digit 4,320 = 7
ln 2 — Natural log of 2: Digit 4,320 = 4
γ — Euler-Mascheroni (γ): Digit 4,320 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4320, here are decompositions:

23 + 4297 = 4320
31 + 4289 = 4320
37 + 4283 = 4320
47 + 4273 = 4320
59 + 4261 = 4320
61 + 4259 = 4320
67 + 4253 = 4320
79 + 4241 = 4320

Showing the first eight; more decompositions exist.

Unicode codepoint

რ

Georgian Letter Rae

U+10E0

Lowercase letter (Ll)

UTF-8 encoding: E1 83 A0 (3 bytes).

Lookup U+10E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0010E0

RGB(0, 16, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.224.

Address: 0.0.16.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.224

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

Musical pitch

Heard as a frequency, 4,320 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -45¢ — about midway to C8)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -44¢)

Position in π

The digit sequence 4320 first appears in π at position 25,894 of the decimal expansion (the 25,894ordinal-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 4320 on Pi Search ↗