Live analysis

10,020

10,020 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.).

10,020 (ten thousand twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 167. Its proper divisors sum to 18,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2724.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019 10,020 10,021 10,022 10,023 10,024 10,025 10,026 10,027 10,028 10,029 10,030 10,031 10,032

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 2,001
Recamán's sequence: a(5,095) = 10,020
Square (n²): 100,400,400
Cube (n³): 1,006,012,008,000
Divisor count: 24
σ(n) — sum of divisors: 28,224
φ(n) — Euler's totient: 2,656
Sum of prime factors: 179

Primality

Prime factorization: 2 ² × 3 × 5 × 167

Nearest primes: 10,009 (−11) · 10,037 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 167 · 334 · 501 · 668 · 835 · 1002 · 1670 · 2004 · 2505 · 3340 · 5010 (half) · 10020

Aliquot sum (sum of proper divisors): 18,204

Factor pairs (a × b = 10,020)

1 × 10020

2 × 5010

3 × 3340

4 × 2505

5 × 2004

6 × 1670

10 × 1002

12 × 835

15 × 668

20 × 501

30 × 334

60 × 167

First multiples

10,020 · 20,040 (double) · 30,060 · 40,080 · 50,100 · 60,120 · 70,140 · 80,160 · 90,180 · 100,200

Sums & aliquot sequence

As consecutive integers: 3,339 + 3,340 + 3,341 2,002 + 2,003 + 2,004 + 2,005 + 2,006 1,249 + 1,250 + … + 1,256 661 + 662 + … + 675

Aliquot sequence: 10,020 → 18,204 → 26,484 → 35,340 → 72,180 → 147,312 → 328,848 → 671,088 → 1,328,784 → 2,480,496 → 4,138,128 → 8,345,200 → 12,381,648 → 21,473,328 → 35,792,848 → 54,249,008 → 66,790,864 — unresolved within range

Continued fraction of √n

√10,020 = [100; (10, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand twenty
Ordinal: 10020th
Binary: 10011100100100
Octal: 23444
Hexadecimal: 0x2724
Base64: JyQ=
One's complement: 55,515 (16-bit)
Scientific notation: 1.002 × 10⁴
As a duration: 10,020 s = 2 hours, 47 minutes

In other bases

ternary (3) 111202010

quaternary (4) 2130210

quinary (5) 310040

senary (6) 114220

septenary (7) 41133

nonary (9) 14663

undecimal (11) 758a

duodecimal (12) 5970

tridecimal (13) 473a

tetradecimal (14) 391a

pentadecimal (15) 2e80

As an angle

10,020° = 27 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓎆𓎆
Greek (Milesian): ͵ικʹ
Mayan (base 20): 𝋡·𝋥·𝋡·𝋠
Chinese: 一萬零二十
Chinese (financial): 壹萬零貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٠ Devanagari १००२० Bengali ১০০২০ Tamil ௧௦௦௨௦ Thai ๑๐๐๒๐ Tibetan ༡༠༠༢༠ Khmer ១០០២០ Lao ໑໐໐໒໐ Burmese ၁၀၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 10,020 = 7
e — Euler's number (e): Digit 10,020 = 7
φ — Golden ratio (φ): Digit 10,020 = 9
√2 — Pythagoras's (√2): Digit 10,020 = 5
ln 2 — Natural log of 2: Digit 10,020 = 5
γ — Euler-Mascheroni (γ): Digit 10,020 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10020, here are decompositions:

11 + 10009 = 10020
13 + 10007 = 10020
47 + 9973 = 10020
53 + 9967 = 10020
71 + 9949 = 10020
79 + 9941 = 10020
89 + 9931 = 10020
97 + 9923 = 10020

Showing the first eight; more decompositions exist.

Unicode codepoint

✤

Heavy Four Balloon-Spoked Asterisk

U+2724

Other symbol (So)

UTF-8 encoding: E2 9C A4 (3 bytes).

Lookup U+2724 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002724

RGB(0, 39, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.36.

Address: 0.0.39.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.36

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

Musical pitch

Heard as a frequency, 10,020 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +49¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +12¢)

Position in π

The digit sequence 10020 first appears in π at position 65,894 of the decimal expansion (the 65,894ordinal-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 10020 on Pi Search ↗