Number

1,518

1,518 is a composite number, even, a calendar year.

1,518 (one thousand five hundred eighteen) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 23. Its proper divisors sum to 1,938, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDXVIII and in binary, 10111101110.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,506 1,507 1,508 1,509 1,510 1,511 1,512 1,513 1,514 1,515 1,516 1,517 1,518 1,519 1,520 1,521 1,522 1,523 1,524 1,525 1,526 1,527 1,528 1,529 1,530

less more

Notable events — 1518 AD

Jun 30 Pope Leo X bulls allow indulgences for German crusade, fueling further Luther dispute.
Jul 13 The first major dance plague erupts in Strasbourg.
Oct 12 Luther refuses to recant at Augsburg.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Tuesday
January 1, 1518
Ended on: Tuesday
December 31, 1518
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1510s
1510–1519
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 508
508 years before 2026.

In other calendars

Hebrew: 5278 / 5279 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 923 / 924 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2061 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 896 / 897 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1510 / 1511 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1440 / 1439 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 40
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 8,151
Recamán's sequence: a(1,524) = 1,518
Square (n²): 2,304,324
Cube (n³): 3,497,963,832
Divisor count: 16
σ(n) — sum of divisors: 3,456
φ(n) — Euler's totient: 440
Sum of prime factors: 39

Primality

Prime factorization: 2 × 3 × 11 × 23

Nearest primes: 1,511 (−7) · 1,523 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 23 · 33 · 46 · 66 · 69 · 138 · 253 · 506 · 759 (half) · 1518

Aliquot sum (sum of proper divisors): 1,938

Factor pairs (a × b = 1,518)

1 × 1518

2 × 759

3 × 506

6 × 253

11 × 138

22 × 69

23 × 66

33 × 46

First multiples

1,518 · 3,036 (double) · 4,554 · 6,072 · 7,590 · 9,108 · 10,626 · 12,144 · 13,662 · 15,180

Sums & aliquot sequence

As consecutive integers: 505 + 506 + 507 378 + 379 + 380 + 381 133 + 134 + … + 143 121 + 122 + … + 132

Aliquot sequence: 1,518 → 1,938 → 2,382 → 2,394 → 3,846 → 3,858 → 3,870 → 6,426 → 10,854 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 → 26,742 → 26,754 → 40,446 — unresolved within range

Continued fraction of √n

√1,518 = [38; (1, 24, 1, 76)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred eighteen
Ordinal: 1518th
Roman numeral: MDXVIII
Binary: 10111101110
Octal: 2756
Hexadecimal: 0x5EE
Base64: Be4=
One's complement: 64,017 (16-bit)
Scientific notation: 1.518 × 10³
As a duration: 1,518 s = 25 minutes, 18 seconds

In other bases

ternary (3) 2002020

quaternary (4) 113232

quinary (5) 22033

senary (6) 11010

septenary (7) 4266

nonary (9) 2066

undecimal (11) 1160

duodecimal (12) a66

tridecimal (13) 8ca

tetradecimal (14) 7a6

pentadecimal (15) 6b3

As an angle

1,518° = 4 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφιηʹ
Mayan (base 20): 𝋣·𝋯·𝋲
Chinese: 一千五百一十八
Chinese (financial): 壹仟伍佰壹拾捌

In other modern scripts

Eastern Arabic ١٥١٨ Devanagari १५१८ Bengali ১৫১৮ Tamil ௧௫௧௮ Thai ๑๕๑๘ Tibetan ༡༥༡༨ Khmer ១៥១៨ Lao ໑໕໑໘ Burmese ၁၅၁၈

Digit at this position in famous constants

π — Pi (π): Digit 1,518 = 5
e — Euler's number (e): Digit 1,518 = 0
φ — Golden ratio (φ): Digit 1,518 = 4
√2 — Pythagoras's (√2): Digit 1,518 = 3
ln 2 — Natural log of 2: Digit 1,518 = 1
γ — Euler-Mascheroni (γ): Digit 1,518 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1518, here are decompositions:

7 + 1511 = 1518
19 + 1499 = 1518
29 + 1489 = 1518
31 + 1487 = 1518
37 + 1481 = 1518
47 + 1471 = 1518
59 + 1459 = 1518
67 + 1451 = 1518

Showing the first eight; more decompositions exist.

Hex color

#0005EE

RGB(0, 5, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.238.

Address: 0.0.5.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.238

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

Musical pitch

Heard as a frequency, 1,518 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -18¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +45¢ — about midway to G♯6)

Position in π

The digit sequence 1518 first appears in π at position 6,618 of the decimal expansion (the 6,618ordinal-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 1518 on Pi Search ↗