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Number

1,506

1,506 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Notable events — 1506 AD

  1. May 20 Christopher Columbus dies in Valladolid.
  2. Apr 11 Construction of the new St. Peter's Basilica begins in Rome.
  3. Jan 22 The Pope's Swiss Guard is founded.

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
Monday
January 1, 1506
Ended on
Monday
December 31, 1506
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
520
520 years before 2026.

In other calendars

Hebrew
5266 / 5267 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
911 / 912 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2049 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
884 / 885 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1498 / 1499 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1428 / 1427 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,051
Recamán's sequence
a(1,548) = 1,506
Square (n²)
2,268,036
Cube (n³)
3,415,662,216
Divisor count
8
σ(n) — sum of divisors
3,024
φ(n) — Euler's totient
500
Sum of prime factors
256

Primality

Prime factorization: 2 × 3 × 251

Nearest primes: 1,499 (−7) · 1,511 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 251 · 502 · 753 (half) · 1506
Aliquot sum (sum of proper divisors): 1,518
Factor pairs (a × b = 1,506)
1 × 1506
2 × 753
3 × 502
6 × 251
First multiples
1,506 · 3,012 (double) · 4,518 · 6,024 · 7,530 · 9,036 · 10,542 · 12,048 · 13,554 · 15,060

Sums & aliquot sequence

As consecutive integers: 501 + 502 + 503 375 + 376 + 377 + 378 120 + 121 + … + 131
Aliquot sequence: 1,506 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 — unresolved within range

Representations

In words
one thousand five hundred six
Ordinal
1506th
Roman numeral
MDVI
Binary
10111100010
Octal
2742
Hexadecimal
0x5E2
Base64
BeI=
One's complement
64,029 (16-bit)
In other bases
ternary (3) 2001210
quaternary (4) 113202
quinary (5) 22011
senary (6) 10550
septenary (7) 4251
nonary (9) 2053
undecimal (11) 114a
duodecimal (12) a56
tridecimal (13) 8bb
tetradecimal (14) 798
pentadecimal (15) 6a6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφϛʹ
Mayan (base 20)
𝋣·𝋯·𝋦
Chinese
一千五百零六
Chinese (financial)
壹仟伍佰零陸
In other modern scripts
Eastern Arabic ١٥٠٦ Devanagari १५०६ Bengali ১৫০৬ Tamil ௧௫௦௬ Thai ๑๕๐๖ Tibetan ༡༥༠༦ Khmer ១៥០៦ Lao ໑໕໐໖ Burmese ၁၅၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,506 = 6
e — Euler's number (e)
Digit 1,506 = 9
φ — Golden ratio (φ)
Digit 1,506 = 0
√2 — Pythagoras's (√2)
Digit 1,506 = 2
ln 2 — Natural log of 2
Digit 1,506 = 9
γ — Euler-Mascheroni (γ)
Digit 1,506 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1506, here are decompositions:

  • 7 + 1499 = 1506
  • 13 + 1493 = 1506
  • 17 + 1489 = 1506
  • 19 + 1487 = 1506
  • 23 + 1483 = 1506
  • 47 + 1459 = 1506
  • 53 + 1453 = 1506
  • 59 + 1447 = 1506

Showing the first eight; more decompositions exist.

Unicode codepoint
ע
Hebrew Letter Ayin
U+05E2
Other letter (Lo)

UTF-8 encoding: D7 A2 (2 bytes).

Hex color
#0005E2
RGB(0, 5, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.226.

Address
0.0.5.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.226

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

Position in π

The digit sequence 1506 first appears in π at position 1,114 of the decimal expansion (the 1,114ordinal-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.