Live analysis

4,800

4,800 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.).

4,800 (four thousand eight hundred) is an even 4-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3 × 5². Its proper divisors sum to 10,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x12C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,788 4,789 4,790 4,791 4,792 4,793 4,794 4,795 4,796 4,797 4,798 4,799 4,800 4,801 4,802 4,803 4,804 4,805 4,806 4,807 4,808 4,809 4,810 4,811 4,812

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 84
Recamán's sequence: a(13,555) = 4,800
Square (n²): 23,040,000
Cube (n³): 110,592,000,000
Divisor count: 42
σ(n) — sum of divisors: 15,748
φ(n) — Euler's totient: 1,280
Sum of prime factors: 25

Primality

Prime factorization: 2 ⁶ × 3 × 5 ²

Nearest primes: 4,799 (−1) · 4,801 (+1)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 150 · 160 · 192 · 200 · 240 · 300 · 320 · 400 · 480 · 600 · 800 · 960 · 1200 · 1600 · 2400 (half) · 4800

Aliquot sum (sum of proper divisors): 10,948

Factor pairs (a × b = 4,800)

1 × 4800

2 × 2400

3 × 1600

4 × 1200

5 × 960

6 × 800

8 × 600

10 × 480

12 × 400

15 × 320

16 × 300

20 × 240

24 × 200

25 × 192

30 × 160

32 × 150

40 × 120

48 × 100

50 × 96

60 × 80

64 × 75

First multiples

4,800 · 9,600 (double) · 14,400 · 19,200 · 24,000 · 28,800 · 33,600 · 38,400 · 43,200 · 48,000

Sums & aliquot sequence

As consecutive integers: 1,599 + 1,600 + 1,601 958 + 959 + 960 + 961 + 962 313 + 314 + … + 327 180 + 181 + … + 204

Aliquot sequence: 4,800 → 10,948 → 13,244 → 16,324 → 19,964 → 23,044 → 23,100 → 60,228 → 114,492 → 208,068 → 347,004 → 754,740 → 1,866,060 → 4,607,316 → 9,020,844 → 17,040,100 → 29,081,948 — unresolved within range

Continued fraction of √n

√4,800 = [69; (3, 1, 1, 4, 1, 33, 1, 4, 1, 1, 3, 138)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four thousand eight hundred
Ordinal: 4800th
Binary: 1001011000000
Octal: 11300
Hexadecimal: 0x12C0
Base64: EsA=
One's complement: 60,735 (16-bit)
Scientific notation: 4.8 × 10³
As a duration: 4,800 s = 1 hour, 20 minutes

In other bases

ternary (3) 20120210

quaternary (4) 1023000

quinary (5) 123200

senary (6) 34120

septenary (7) 16665

nonary (9) 6523

undecimal (11) 3674

duodecimal (12) 2940

tridecimal (13) 2253

tetradecimal (14) 1a6c

pentadecimal (15) 1650

As an angle

4,800° = 13 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵δωʹ
Mayan (base 20): 𝋬·𝋠·𝋠
Chinese: 四千八百
Chinese (financial): 肆仟捌佰

In other modern scripts

Eastern Arabic ٤٨٠٠ Devanagari ४८०० Bengali ৪৮০০ Tamil ௪௮௦௦ Thai ๔๘๐๐ Tibetan ༤༨༠༠ Khmer ៤៨០០ Lao ໔໘໐໐ Burmese ၄၈၀၀

Digit at this position in famous constants

π — Pi (π): Digit 4,800 = 9
e — Euler's number (e): Digit 4,800 = 8
φ — Golden ratio (φ): Digit 4,800 = 4
√2 — Pythagoras's (√2): Digit 4,800 = 8
ln 2 — Natural log of 2: Digit 4,800 = 0
γ — Euler-Mascheroni (γ): Digit 4,800 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4800, here are decompositions:

7 + 4793 = 4800
11 + 4789 = 4800
13 + 4787 = 4800
17 + 4783 = 4800
41 + 4759 = 4800
67 + 4733 = 4800
71 + 4729 = 4800
79 + 4721 = 4800

Showing the first eight; more decompositions exist.

Unicode codepoint

ዀ

Ethiopic Syllable Kxwa

U+12C0

Other letter (Lo)

UTF-8 encoding: E1 8B 80 (3 bytes).

Lookup U+12C0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0012C0

RGB(0, 18, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.18.192.

Address: 0.0.18.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.18.192

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

Musical pitch

Heard as a frequency, 4,800 Hz is closest to:

Concert pitch (A4 = 440 Hz): D8 (4698.6 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): D♯8 (4695.2 Hz, +38¢)

Position in π

The digit sequence 4800 first appears in π at position 8,877 of the decimal expansion (the 8,877ordinal-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 4800 on Pi Search ↗