Live analysis

3,002

3,002 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.).

3,002 (three thousand two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 19 × 79. Written other ways, in Roman numerals it is MMMII and in binary, 101110111010.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,990 2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 2,003
Recamán's sequence: a(1,411) = 3,002
Square (n²): 9,012,004
Cube (n³): 27,054,036,008
Divisor count: 8
σ(n) — sum of divisors: 4,800
φ(n) — Euler's totient: 1,404
Sum of prime factors: 100

Primality

Prime factorization: 2 × 19 × 79

Nearest primes: 3,001 (−1) · 3,011 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 19 · 38 · 79 · 158 · 1501 (half) · 3002

Aliquot sum (sum of proper divisors): 1,798

Factor pairs (a × b = 3,002)

1 × 3002

2 × 1501

19 × 158

38 × 79

First multiples

3,002 · 6,004 (double) · 9,006 · 12,008 · 15,010 · 18,012 · 21,014 · 24,016 · 27,018 · 30,020

Sums & aliquot sequence

As consecutive integers: 749 + 750 + 751 + 752 149 + 150 + … + 167 2 + 3 + … + 77

Aliquot sequence: 3,002 → 1,798 → 1,082 → 544 → 590 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,002 = [54; (1, 3, 1, 3, 2, 2, 2, 3, 1, 3, 1, 108)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: three thousand two
Ordinal: 3002nd
Roman numeral: MMMII
Binary: 101110111010
Octal: 5672
Hexadecimal: 0xBBA
Base64: C7o=
One's complement: 62,533 (16-bit)
Scientific notation: 3.002 × 10³
As a duration: 3,002 s = 50 minutes, 2 seconds

In other bases

ternary (3) 11010012

quaternary (4) 232322

quinary (5) 44002

senary (6) 21522

septenary (7) 11516

nonary (9) 4105

undecimal (11) 228a

duodecimal (12) 18a2

tridecimal (13) 149c

tetradecimal (14) 1146

pentadecimal (15) d52

As an angle

3,002° = 8 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵γβʹ
Mayan (base 20): 𝋧·𝋪·𝋢
Chinese: 三千零二
Chinese (financial): 參仟零貳

In other modern scripts

Eastern Arabic ٣٠٠٢ Devanagari ३००२ Bengali ৩০০২ Tamil ௩௦௦௨ Thai ๓๐๐๒ Tibetan ༣༠༠༢ Khmer ៣០០២ Lao ໓໐໐໒ Burmese ၃၀၀၂

Digit at this position in famous constants

π — Pi (π): Digit 3,002 = 5
e — Euler's number (e): Digit 3,002 = 9
φ — Golden ratio (φ): Digit 3,002 = 5
√2 — Pythagoras's (√2): Digit 3,002 = 1
ln 2 — Natural log of 2: Digit 3,002 = 3
γ — Euler-Mascheroni (γ): Digit 3,002 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3002, here are decompositions:

3 + 2999 = 3002
31 + 2971 = 3002
151 + 2851 = 3002
199 + 2803 = 3002
211 + 2791 = 3002
271 + 2731 = 3002
283 + 2719 = 3002
313 + 2689 = 3002

Showing the first eight; more decompositions exist.

Hex color

#000BBA

RGB(0, 11, 186)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.186.

Address: 0.0.11.186
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.186

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

Musical pitch

Heard as a frequency, 3,002 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +24¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +26¢)

Position in π

The digit sequence 3002 first appears in π at position 13,661 of the decimal expansion (the 13,661ordinal-suffix:st 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 3002 on Pi Search ↗