Live analysis

4,200

4,200 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.).

4,200 (four thousand two hundred) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 7. Its proper divisors sum to 10,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1068.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Highly Abundant Nonagonal Pentagonal Pyramidal Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

4,188 4,189 4,190 4,191 4,192 4,193 4,194 4,195 4,196 4,197 4,198 4,199 4,200 4,201 4,202 4,203 4,204 4,205 4,206 4,207 4,208 4,209 4,210 4,211 4,212

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 13 bits
Reversed: 24
Recamán's sequence: a(178,883) = 4,200
Square (n²): 17,640,000
Cube (n³): 74,088,000,000
Divisor count: 48
σ(n) — sum of divisors: 14,880
φ(n) — Euler's totient: 960
Sum of prime factors: 26

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 7

Nearest primes: 4,177 (−23) · 4,201 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 140 · 150 · 168 · 175 · 200 · 210 · 280 · 300 · 350 · 420 · 525 · 600 · 700 · 840 · 1050 · 1400 · 2100 (half) · 4200

Aliquot sum (sum of proper divisors): 10,680

Factor pairs (a × b = 4,200)

1 × 4200

2 × 2100

3 × 1400

4 × 1050

5 × 840

6 × 700

7 × 600

8 × 525

10 × 420

12 × 350

14 × 300

15 × 280

20 × 210

21 × 200

24 × 175

25 × 168

28 × 150

30 × 140

35 × 120

40 × 105

42 × 100

50 × 84

56 × 75

60 × 70

First multiples

4,200 · 8,400 (double) · 12,600 · 16,800 · 21,000 · 25,200 · 29,400 · 33,600 · 37,800 · 42,000

Sums & aliquot sequence

As consecutive integers: 1,399 + 1,400 + 1,401 838 + 839 + 840 + 841 + 842 597 + 598 + … + 603 273 + 274 + … + 287

Aliquot sequence: 4,200 → 10,680 → 21,720 → 43,800 → 93,840 → 227,568 → 415,248 → 688,848 → 1,120,560 → 3,164,880 → 6,646,992 → 12,086,928 → 28,342,032 → 45,117,552 → 79,735,568 → 89,795,248 → 88,427,720 — unresolved within range

Continued fraction of √n

√4,200 = [64; (1, 4, 5, 4, 1, 128)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: four thousand two hundred
Ordinal: 4200th
Binary: 1000001101000
Octal: 10150
Hexadecimal: 0x1068
Base64: EGg=
One's complement: 61,335 (16-bit)
Scientific notation: 4.2 × 10³
As a duration: 4,200 s = 1 hour, 10 minutes

In other bases

ternary (3) 12202120

quaternary (4) 1001220

quinary (5) 113300

senary (6) 31240

septenary (7) 15150

nonary (9) 5676

undecimal (11) 3179

duodecimal (12) 2520

tridecimal (13) 1bb1

tetradecimal (14) 1760

pentadecimal (15) 13a0

Palindromic in base 13

As an angle

4,200° = 11 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian): ͵δσʹ
Mayan (base 20): 𝋪·𝋪·𝋠
Chinese: 四千二百
Chinese (financial): 肆仟貳佰

In other modern scripts

Eastern Arabic ٤٢٠٠ Devanagari ४२०० Bengali ৪২০০ Tamil ௪௨௦௦ Thai ๔๒๐๐ Tibetan ༤༢༠༠ Khmer ៤២០០ Lao ໔໒໐໐ Burmese ၄၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 4,200 = 0
e — Euler's number (e): Digit 4,200 = 1
φ — Golden ratio (φ): Digit 4,200 = 4
√2 — Pythagoras's (√2): Digit 4,200 = 7
ln 2 — Natural log of 2: Digit 4,200 = 3
γ — Euler-Mascheroni (γ): Digit 4,200 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4200, here are decompositions:

23 + 4177 = 4200
41 + 4159 = 4200
43 + 4157 = 4200
47 + 4153 = 4200
61 + 4139 = 4200
67 + 4133 = 4200
71 + 4129 = 4200
73 + 4127 = 4200

Showing the first eight; more decompositions exist.

Unicode codepoint

ၨ

Myanmar Vowel Sign Western Pwo Karen Ue

U+1068

Spacing combining mark (Mc)

UTF-8 encoding: E1 81 A8 (3 bytes).

Lookup U+1068 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001068

RGB(0, 16, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.104.

Address: 0.0.16.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.104

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

Musical pitch

Heard as a frequency, 4,200 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +6¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +43¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +7¢)

Position in π

The digit sequence 4200 first appears in π at position 2,804 of the decimal expansion (the 2,804ordinal-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 4200 on Pi Search ↗