Live analysis

3,004

3,004 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.).

Deficient Number Evil Number Recamán's Sequence

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 4,003
Recamán's sequence: a(1,447) = 3,004
Square (n²): 9,024,016
Cube (n³): 27,108,144,064
Divisor count: 6
σ(n) — sum of divisors: 5,264
φ(n) — Euler's totient: 1,500
Sum of prime factors: 755

Primality

Prime factorization: 2 ² × 751

Nearest primes: 3,001 (−3) · 3,011 (+7)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 751 · 1502 (half) · 3004

Aliquot sum (sum of proper divisors): 2,260

Factor pairs (a × b = 3,004)

1 × 3004

2 × 1502

4 × 751

First multiples

3,004 · 6,008 (double) · 9,012 · 12,016 · 15,020 · 18,024 · 21,028 · 24,032 · 27,036 · 30,040

Sums & aliquot sequence

As consecutive integers: 372 + 373 + … + 379

Aliquot sequence: 3,004 → 2,260 → 2,528 → 2,512 → 2,386 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Representations

In words: three thousand four
Ordinal: 3004th
Roman numeral: MMMIV
Binary: 101110111100
Octal: 5674
Hexadecimal: 0xBBC
Base64: C7w=
One's complement: 62,531 (16-bit)

In other bases

ternary (3) 11010021

quaternary (4) 232330

quinary (5) 44004

senary (6) 21524

septenary (7) 11521

nonary (9) 4107

undecimal (11) 2291

duodecimal (12) 18a4

tridecimal (13) 14a1

tetradecimal (14) 1148

pentadecimal (15) d54

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γδʹ
Mayan (base 20): 𝋧·𝋪·𝋤
Chinese: 三千零四
Chinese (financial): 參仟零肆

In other modern scripts

Eastern Arabic ٣٠٠٤ Devanagari ३००४ Bengali ৩০০৪ Tamil ௩௦௦௪ Thai ๓๐๐๔ Tibetan ༣༠༠༤ Khmer ៣០០៤ Lao ໓໐໐໔ Burmese ၃၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,004 = 7
e — Euler's number (e): Digit 3,004 = 7
φ — Golden ratio (φ): Digit 3,004 = 0
√2 — Pythagoras's (√2): Digit 3,004 = 5
ln 2 — Natural log of 2: Digit 3,004 = 6
γ — Euler-Mascheroni (γ): Digit 3,004 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3004, here are decompositions:

3 + 3001 = 3004
5 + 2999 = 3004
41 + 2963 = 3004
47 + 2957 = 3004
101 + 2903 = 3004
107 + 2897 = 3004
167 + 2837 = 3004
227 + 2777 = 3004

Showing the first eight; more decompositions exist.

Hex color

#000BBC

RGB(0, 11, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.188.

Address: 0.0.11.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.188

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

Position in π

The digit sequence 3004 first appears in π at position 10,374 of the decimal expansion (the 10,374ordinal-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 3004 on Pi Search ↗