Live analysis

5,013

5,013 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.).

5,013 (five thousand thirteen) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 557. Written other ways, in hexadecimal, 0x1395.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

5,001 5,002 5,003 5,004 5,005 5,006 5,007 5,008 5,009 5,010 5,011 5,012 5,013 5,014 5,015 5,016 5,017 5,018 5,019 5,020 5,021 5,022 5,023 5,024 5,025

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 3,105
Recamán's sequence: a(97,570) = 5,013
Square (n²): 25,130,169
Cube (n³): 125,977,537,197
Divisor count: 6
σ(n) — sum of divisors: 7,254
φ(n) — Euler's totient: 3,336
Sum of prime factors: 563

Primality

Prime factorization: 3 ² × 557

Nearest primes: 5,011 (−2) · 5,021 (+8)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 557 · 1671 · 5013

Aliquot sum (sum of proper divisors): 2,241

Factor pairs (a × b = 5,013)

1 × 5013

3 × 1671

9 × 557

First multiples

5,013 · 10,026 (double) · 15,039 · 20,052 · 25,065 · 30,078 · 35,091 · 40,104 · 45,117 · 50,130

Sums & aliquot sequence

As a sum of two squares: 42² + 57²

As consecutive integers: 2,506 + 2,507 1,670 + 1,671 + 1,672 833 + 834 + 835 + 836 + 837 + 838 553 + 554 + … + 561

Aliquot sequence: 5,013 → 2,241 → 1,119 → 377 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√5,013 = [70; (1, 4, 15, 1, 1, 6, 1, 14, 1, 6, 1, 1, 15, 4, 1, 140)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: five thousand thirteen
Ordinal: 5013th
Binary: 1001110010101
Octal: 11625
Hexadecimal: 0x1395
Base64: E5U=
One's complement: 60,522 (16-bit)
Scientific notation: 5.013 × 10³
As a duration: 5,013 s = 1 hour, 23 minutes, 33 seconds

In other bases

ternary (3) 20212200

quaternary (4) 1032111

quinary (5) 130023

senary (6) 35113

septenary (7) 20421

nonary (9) 6780

undecimal (11) 3848

duodecimal (12) 2a99

tridecimal (13) 2388

tetradecimal (14) 1b81

pentadecimal (15) 1743

As an angle

5,013° = 13 × 360° + 333°

333° ≈ 5.812 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ειγʹ
Mayan (base 20): 𝋬·𝋪·𝋭
Chinese: 五千零一十三
Chinese (financial): 伍仟零壹拾參

In other modern scripts

Eastern Arabic ٥٠١٣ Devanagari ५०१३ Bengali ৫০১৩ Tamil ௫௦௧௩ Thai ๕๐๑๓ Tibetan ༥༠༡༣ Khmer ៥០១៣ Lao ໕໐໑໓ Burmese ၅၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 5,013 = 8
e — Euler's number (e): Digit 5,013 = 4
φ — Golden ratio (φ): Digit 5,013 = 2
√2 — Pythagoras's (√2): Digit 5,013 = 1
ln 2 — Natural log of 2: Digit 5,013 = 5
γ — Euler-Mascheroni (γ): Digit 5,013 = 3

Also seen as

Unicode codepoint

᎕

Ethiopic Tonal Mark Kenat

U+1395

Other symbol (So)

UTF-8 encoding: E1 8E 95 (3 bytes).

Lookup U+1395 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001395

RGB(0, 19, 149)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.149.

Address: 0.0.19.149
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.149

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

Musical pitch

Heard as a frequency, 5,013 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +12¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +50¢ — about midway to E8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +13¢)

Position in π

The digit sequence 5013 first appears in π at position 13,732 of the decimal expansion (the 13,732ordinal-suffix:nd 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 5013 on Pi Search ↗