Live analysis

20,013

20,013 is a composite number, odd.

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.).

20,013 (twenty thousand thirteen) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 953. Written other ways, in hexadecimal, 0x4E2D.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

20,001 20,002 20,003 20,004 20,005 20,006 20,007 20,008 20,009 20,010 20,011 20,012 20,013 20,014 20,015 20,016 20,017 20,018 20,019 20,020 20,021 20,022 20,023 20,024 20,025

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 15 bits
Reversed: 31,002
Square (n²): 400,520,169
Cube (n³): 8,015,610,142,197
Divisor count: 8
σ(n) — sum of divisors: 30,528
φ(n) — Euler's totient: 11,424
Sum of prime factors: 963

Primality

Prime factorization: 3 × 7 × 953

Nearest primes: 20,011 (−2) · 20,021 (+8)

Divisors & multiples

All divisors (8)

1 · 3 · 7 · 21 · 953 · 2859 · 6671 · 20013

Aliquot sum (sum of proper divisors): 10,515

Factor pairs (a × b = 20,013)

1 × 20013

3 × 6671

7 × 2859

21 × 953

First multiples

20,013 · 40,026 (double) · 60,039 · 80,052 · 100,065 · 120,078 · 140,091 · 160,104 · 180,117 · 200,130

Sums & aliquot sequence

As consecutive integers: 10,006 + 10,007 6,670 + 6,671 + 6,672 3,333 + 3,334 + 3,335 + 3,336 + 3,337 + 3,338 2,856 + 2,857 + … + 2,862

Aliquot sequence: 20,013 → 10,515 → 6,333 → 2,115 → 1,629 → 737 → 79 → 1 → 0 — terminates at zero

Continued fraction of √n

√20,013 = [141; (2, 7, 6, 1, 3, 3, 3, 9, 1, 4, 16, 2, 3, 1, 1, 1, 1, 1, 1, 70, 8, 1, 1, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: twenty thousand thirteen
Ordinal: 20013th
Binary: 100111000101101
Octal: 47055
Hexadecimal: 0x4E2D
Base64: Ti0=
One's complement: 45,522 (16-bit)
Scientific notation: 2.0013 × 10⁴
As a duration: 20,013 s = 5 hours, 33 minutes, 33 seconds

In other bases

ternary (3) 1000110020

quaternary (4) 10320231

quinary (5) 1120023

senary (6) 232353

septenary (7) 112230

nonary (9) 30406

undecimal (11) 14044

duodecimal (12) b6b9

tridecimal (13) 9156

tetradecimal (14) 7417

pentadecimal (15) 5de3

As an angle

20,013° = 55 × 360° + 213°

213° ≈ 3.718 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓎆𓏺𓏺𓏺
Greek (Milesian): ͵κιγʹ
Mayan (base 20): 𝋢·𝋪·𝋠·𝋭
Chinese: 二萬零一十三
Chinese (financial): 貳萬零壹拾參

In other modern scripts

Eastern Arabic ٢٠٠١٣ Devanagari २००१३ Bengali ২০০১৩ Tamil ௨௦௦௧௩ Thai ๒๐๐๑๓ Tibetan ༢༠༠༡༣ Khmer ២០០១៣ Lao ໒໐໐໑໓ Burmese ၂၀၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 20,013 = 9
e — Euler's number (e): Digit 20,013 = 8
φ — Golden ratio (φ): Digit 20,013 = 5
√2 — Pythagoras's (√2): Digit 20,013 = 4
ln 2 — Natural log of 2: Digit 20,013 = 6
γ — Euler-Mascheroni (γ): Digit 20,013 = 0

Also seen as

Unicode codepoint

中

CJK Unified Ideograph-4E2D

U+4E2D

Other letter (Lo)

UTF-8 encoding: E4 B8 AD (3 bytes).

Lookup U+4E2D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004E2D

RGB(0, 78, 45)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.45.

Address: 0.0.78.45
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.78.45

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

Position in π

The digit sequence 20013 first appears in π at position 157,718 of the decimal expansion (the 157,718ordinal-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 20013 on Pi Search ↗