Live analysis

5,004

5,004 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.).

5,004 (five thousand four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 139. Its proper divisors sum to 7,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x138C.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,992 4,993 4,994 4,995 4,996 4,997 4,998 4,999 5,000 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 4,005
Recamán's sequence: a(97,588) = 5,004
Square (n²): 25,040,016
Cube (n³): 125,300,240,064
Divisor count: 18
σ(n) — sum of divisors: 12,740
φ(n) — Euler's totient: 1,656
Sum of prime factors: 149

Primality

Prime factorization: 2 ² × 3 ² × 139

Nearest primes: 5,003 (−1) · 5,009 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 139 · 278 · 417 · 556 · 834 · 1251 · 1668 · 2502 (half) · 5004

Aliquot sum (sum of proper divisors): 7,736

Factor pairs (a × b = 5,004)

1 × 5004

2 × 2502

3 × 1668

4 × 1251

6 × 834

9 × 556

12 × 417

18 × 278

36 × 139

First multiples

5,004 · 10,008 (double) · 15,012 · 20,016 · 25,020 · 30,024 · 35,028 · 40,032 · 45,036 · 50,040

Sums & aliquot sequence

As consecutive integers: 1,667 + 1,668 + 1,669 622 + 623 + … + 629 552 + 553 + … + 560 197 + 198 + … + 220

Aliquot sequence: 5,004 → 7,736 → 6,784 → 6,986 → 5,014 → 2,906 → 1,456 → 2,016 → 4,536 → 9,984 → 18,632 → 18,628 → 13,978 → 7,802 → 4,294 → 2,546 → 1,534 — unresolved within range

Continued fraction of √n

√5,004 = [70; (1, 2, 1, 4, 1, 10, 17, 1, 1, 2, 4, 1, 5, 2, 1, 34, 1, 2, 5, 1, 4, 2, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: five thousand four
Ordinal: 5004th
Binary: 1001110001100
Octal: 11614
Hexadecimal: 0x138C
Base64: E4w=
One's complement: 60,531 (16-bit)
Scientific notation: 5.004 × 10³
As a duration: 5,004 s = 1 hour, 23 minutes, 24 seconds

In other bases

ternary (3) 20212100

quaternary (4) 1032030

quinary (5) 130004

senary (6) 35100

septenary (7) 20406

nonary (9) 6770

undecimal (11) 383a

duodecimal (12) 2a90

tridecimal (13) 237c

tetradecimal (14) 1b76

pentadecimal (15) 1739

As an angle

5,004° = 13 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵εδʹ
Mayan (base 20): 𝋬·𝋪·𝋤
Chinese: 五千零四
Chinese (financial): 伍仟零肆

In other modern scripts

Eastern Arabic ٥٠٠٤ Devanagari ५००४ Bengali ৫০০৪ Tamil ௫௦௦௪ Thai ๕๐๐๔ Tibetan ༥༠༠༤ Khmer ៥០០៤ Lao ໕໐໐໔ Burmese ၅၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 5,004 = 9
e — Euler's number (e): Digit 5,004 = 0
φ — Golden ratio (φ): Digit 5,004 = 0
√2 — Pythagoras's (√2): Digit 5,004 = 6
ln 2 — Natural log of 2: Digit 5,004 = 1
γ — Euler-Mascheroni (γ): Digit 5,004 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5004, here are decompositions:

5 + 4999 = 5004
11 + 4993 = 5004
17 + 4987 = 5004
31 + 4973 = 5004
37 + 4967 = 5004
47 + 4957 = 5004
53 + 4951 = 5004
61 + 4943 = 5004

Showing the first eight; more decompositions exist.

Unicode codepoint

ᎌ

Ethiopic Syllable Sebatbeit Pwa

U+138C

Other letter (Lo)

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

Lookup U+138C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00138C

RGB(0, 19, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.140.

Address: 0.0.19.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.140

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

Musical pitch

Heard as a frequency, 5,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +47¢ — about midway to E8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +10¢)

Position in π

The digit sequence 5004 first appears in π at position 13,711 of the decimal expansion (the 13,711ordinal-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 5004 on Pi Search ↗