Live analysis

10,200

10,200 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.).

10,200 (ten thousand two hundred) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 17. Its proper divisors sum to 23,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27D8.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

10,188 10,189 10,190 10,191 10,192 10,193 10,194 10,195 10,196 10,197 10,198 10,199 10,200 10,201 10,202 10,203 10,204 10,205 10,206 10,207 10,208 10,209 10,210 10,211 10,212

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 201
Recamán's sequence: a(5,659) = 10,200
Square (n²): 104,040,000
Cube (n³): 1,061,208,000,000
Divisor count: 48
σ(n) — sum of divisors: 33,480
φ(n) — Euler's totient: 2,560
Sum of prime factors: 36

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 17

Nearest primes: 10,193 (−7) · 10,211 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 25 · 30 · 34 · 40 · 50 · 51 · 60 · 68 · 75 · 85 · 100 · 102 · 120 · 136 · 150 · 170 · 200 · 204 · 255 · 300 · 340 · 408 · 425 · 510 · 600 · 680 · 850 · 1020 · 1275 · 1700 · 2040 · 2550 · 3400 · 5100 (half) · 10200

Aliquot sum (sum of proper divisors): 23,280

Factor pairs (a × b = 10,200)

1 × 10200

2 × 5100

3 × 3400

4 × 2550

5 × 2040

6 × 1700

8 × 1275

10 × 1020

12 × 850

15 × 680

17 × 600

20 × 510

24 × 425

25 × 408

30 × 340

34 × 300

40 × 255

50 × 204

51 × 200

60 × 170

68 × 150

75 × 136

85 × 120

100 × 102

First multiples

10,200 · 20,400 (double) · 30,600 · 40,800 · 51,000 · 61,200 · 71,400 · 81,600 · 91,800 · 102,000

Sums & aliquot sequence

As consecutive integers: 3,399 + 3,400 + 3,401 2,038 + 2,039 + 2,040 + 2,041 + 2,042 673 + 674 + … + 687 630 + 631 + … + 645

Aliquot sequence: 10,200 → 23,280 → 49,632 → 95,520 → 206,880 → 446,304 → 725,496 → 1,280,904 → 2,154,696 → 3,232,104 → 4,915,416 → 8,833,704 → 15,258,936 → 34,507,464 → 54,545,976 → 93,182,904 → 163,959,696 — unresolved within range

Continued fraction of √n

√10,200 = [100; (1, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand two hundred
Ordinal: 10200th
Binary: 10011111011000
Octal: 23730
Hexadecimal: 0x27D8
Base64: J9g=
One's complement: 55,335 (16-bit)
Scientific notation: 1.02 × 10⁴
As a duration: 10,200 s = 2 hours, 50 minutes

In other bases

ternary (3) 111222210

quaternary (4) 2133120

quinary (5) 311300

senary (6) 115120

septenary (7) 41511

nonary (9) 14883

undecimal (11) 7733

duodecimal (12) 5aa0

tridecimal (13) 4848

tetradecimal (14) 3a08

pentadecimal (15) 3050

As an angle

10,200° = 28 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓂍𓍢𓍢
Greek (Milesian): ͵ισʹ
Mayan (base 20): 𝋡·𝋥·𝋪·𝋠
Chinese: 一萬零二百
Chinese (financial): 壹萬零貳佰

In other modern scripts

Eastern Arabic ١٠٢٠٠ Devanagari १०२०० Bengali ১০২০০ Tamil ௧௦௨௦௦ Thai ๑๐๒๐๐ Tibetan ༡༠༢༠༠ Khmer ១០២០០ Lao ໑໐໒໐໐ Burmese ၁၀၂၀၀

Digit at this position in famous constants

π — Pi (π): Digit 10,200 = 4
e — Euler's number (e): Digit 10,200 = 7
φ — Golden ratio (φ): Digit 10,200 = 5
√2 — Pythagoras's (√2): Digit 10,200 = 4
ln 2 — Natural log of 2: Digit 10,200 = 1
γ — Euler-Mascheroni (γ): Digit 10,200 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10200, here are decompositions:

7 + 10193 = 10200
19 + 10181 = 10200
23 + 10177 = 10200
31 + 10169 = 10200
37 + 10163 = 10200
41 + 10159 = 10200
59 + 10141 = 10200
61 + 10139 = 10200

Showing the first eight; more decompositions exist.

Unicode codepoint

⟘

Large Up Tack

U+27D8

Math symbol (Sm)

UTF-8 encoding: E2 9F 98 (3 bytes).

Lookup U+27D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0027D8

RGB(0, 39, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.216.

Address: 0.0.39.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.216

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

Musical pitch

Heard as a frequency, 10,200 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +42¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +43¢)

Position in π

The digit sequence 10200 first appears in π at position 234,004 of the decimal expansion (the 234,004ordinal-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 10200 on Pi Search ↗