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Number

1,508

1,508 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Notable events — 1508 AD

  1. Dec 10 France, the Empire, Spain, and the Papacy form the League of Cambrai against Venice.
  2. Undated Michelangelo begins painting the Sistine Chapel ceiling.
  3. Undated Erasmus completes Adagia in its expanded form.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1508
Ended on
Thursday
December 31, 1508
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1500s
1500–1509
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
518
518 years before 2026.

In other calendars

Hebrew
5268 / 5269 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
913 / 914 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2051 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
886 / 887 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1500 / 1501 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1430 / 1429 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
8,051
Recamán's sequence
a(1,544) = 1,508
Square (n²)
2,274,064
Cube (n³)
3,429,288,512
Divisor count
12
σ(n) — sum of divisors
2,940
φ(n) — Euler's totient
672
Sum of prime factors
46

Primality

Prime factorization: 2 2 × 13 × 29

Nearest primes: 1,499 (−9) · 1,511 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 29 · 52 · 58 · 116 · 377 · 754 (half) · 1508
Aliquot sum (sum of proper divisors): 1,432
Factor pairs (a × b = 1,508)
1 × 1508
2 × 754
4 × 377
13 × 116
26 × 58
29 × 52
First multiples
1,508 · 3,016 (double) · 4,524 · 6,032 · 7,540 · 9,048 · 10,556 · 12,064 · 13,572 · 15,080

Sums & aliquot sequence

As a sum of two squares: 8² + 38² = 22² + 32²
As consecutive integers: 185 + 186 + … + 192 110 + 111 + … + 122 38 + 39 + … + 66
Aliquot sequence: 1,508 1,432 1,268 958 482 244 190 170 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand five hundred eight
Ordinal
1508th
Roman numeral
MDVIII
Binary
10111100100
Octal
2744
Hexadecimal
0x5E4
Base64
BeQ=
One's complement
64,027 (16-bit)
In other bases
ternary (3) 2001212
quaternary (4) 113210
quinary (5) 22013
senary (6) 10552
septenary (7) 4253
nonary (9) 2055
undecimal (11) 1151
duodecimal (12) a58
tridecimal (13) 8c0
tetradecimal (14) 79a
pentadecimal (15) 6a8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφηʹ
Mayan (base 20)
𝋣·𝋯·𝋨
Chinese
一千五百零八
Chinese (financial)
壹仟伍佰零捌
In other modern scripts
Eastern Arabic ١٥٠٨ Devanagari १५०८ Bengali ১৫০৮ Tamil ௧௫௦௮ Thai ๑๕๐๘ Tibetan ༡༥༠༨ Khmer ១៥០៨ Lao ໑໕໐໘ Burmese ၁၅၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,508 = 3
e — Euler's number (e)
Digit 1,508 = 2
φ — Golden ratio (φ)
Digit 1,508 = 3
√2 — Pythagoras's (√2)
Digit 1,508 = 7
ln 2 — Natural log of 2
Digit 1,508 = 1
γ — Euler-Mascheroni (γ)
Digit 1,508 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1508, here are decompositions:

  • 19 + 1489 = 1508
  • 37 + 1471 = 1508
  • 61 + 1447 = 1508
  • 79 + 1429 = 1508
  • 109 + 1399 = 1508
  • 127 + 1381 = 1508
  • 181 + 1327 = 1508
  • 211 + 1297 = 1508

Showing the first eight; more decompositions exist.

Unicode codepoint
פ
Hebrew Letter Pe
U+05E4
Other letter (Lo)

UTF-8 encoding: D7 A4 (2 bytes).

Hex color
#0005E4
RGB(0, 5, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.228.

Address
0.0.5.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.228

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

Position in π

The digit sequence 1508 first appears in π at position 12,298 of the decimal expansion (the 12,298ordinal-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.