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3,015

3,015 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.).

3,015 (three thousand fifteen) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 5 × 67. Written other ways, in Roman numerals it is MMMXV and in binary, 101111000111.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Pentagonal Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
5,103
Recamán's sequence
a(1,469) = 3,015
Square (n²)
9,090,225
Cube (n³)
27,407,028,375
Divisor count
12
σ(n) — sum of divisors
5,304
φ(n) — Euler's totient
1,584
Sum of prime factors
78

Primality

Prime factorization: 3 2 × 5 × 67

Nearest primes: 3,011 (−4) · 3,019 (+4)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 15 · 45 · 67 · 201 · 335 · 603 · 1005 · 3015
Aliquot sum (sum of proper divisors): 2,289
Factor pairs (a × b = 3,015)
1 × 3015
3 × 1005
5 × 603
9 × 335
15 × 201
45 × 67
First multiples
3,015 · 6,030 (double) · 9,045 · 12,060 · 15,075 · 18,090 · 21,105 · 24,120 · 27,135 · 30,150

Sums & aliquot sequence

As consecutive integers: 1,507 + 1,508 1,004 + 1,005 + 1,006 601 + 602 + 603 + 604 + 605 500 + 501 + 502 + 503 + 504 + 505
Aliquot sequence: 3,015 2,289 1,231 1 0 — terminates at zero

Continued fraction of √n

√3,015 = [54; (1, 9, 1, 108)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
three thousand fifteen
Ordinal
3015th
Roman numeral
MMMXV
Binary
101111000111
Octal
5707
Hexadecimal
0xBC7
Base64
C8c=
One's complement
62,520 (16-bit)
Scientific notation
3.015 × 10³
As a duration
3,015 s = 50 minutes, 15 seconds
In other bases
ternary (3) 11010200
quaternary (4) 233013
quinary (5) 44030
senary (6) 21543
septenary (7) 11535
nonary (9) 4120
undecimal (11) 22a1
duodecimal (12) 18b3
tridecimal (13) 14ac
tetradecimal (14) 1155
pentadecimal (15) d60

As an angle

3,015° = 8 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γιεʹ
Mayan (base 20)
𝋧·𝋪·𝋯
Chinese
三千零一十五
Chinese (financial)
參仟零壹拾伍
In other modern scripts
Eastern Arabic ٣٠١٥ Devanagari ३०१५ Bengali ৩০১৫ Tamil ௩௦௧௫ Thai ๓๐๑๕ Tibetan ༣༠༡༥ Khmer ៣០១៥ Lao ໓໐໑໕ Burmese ၃၀၁၅

Digit at this position in famous constants

π — Pi (π)
Digit 3,015 = 4
e — Euler's number (e)
Digit 3,015 = 2
φ — Golden ratio (φ)
Digit 3,015 = 4
√2 — Pythagoras's (√2)
Digit 3,015 = 4
ln 2 — Natural log of 2
Digit 3,015 = 5
γ — Euler-Mascheroni (γ)
Digit 3,015 = 1

Also seen as

Unicode codepoint
Tamil Vowel Sign Ee
U+0BC7
Spacing combining mark (Mc)

UTF-8 encoding: E0 AF 87 (3 bytes).

Hex color
#000BC7
RGB(0, 11, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.199.

Address
0.0.11.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.11.199

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

Musical pitch

Heard as a frequency, 3,015 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +32¢)
  • Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -30¢)
  • Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +33¢)
Position in π

The digit sequence 3015 first appears in π at position 6,893 of the decimal expansion (the 6,893ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.