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Number

1,581

1,581 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Smith Number Sphenic Number Squarefree Year

Notable events — 1581 AD

  1. Jul 26 The Dutch issue the Act of Abjuration, deposing Philip II.
  2. Sep 8 Tsar Ivan IV kills his son Ivan in a rage.
  3. Aug 26 Russian Cossack Yermak begins the conquest of Siberia.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1581
Ended on
Thursday
December 31, 1581
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1580s
1580–1589
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
445
445 years before 2026.

In other calendars

Hebrew
5341 / 5342 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
988 / 989 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2124 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
959 / 960 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1573 / 1574 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1503 / 1502 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
15
Digit product
40
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
1,851
Recamán's sequence
a(1,390) = 1,581
Square (n²)
2,499,561
Cube (n³)
3,951,805,941
Divisor count
8
σ(n) — sum of divisors
2,304
φ(n) — Euler's totient
960
Sum of prime factors
51

Primality

Prime factorization: 3 × 17 × 31

Nearest primes: 1,579 (−2) · 1,583 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 17 · 31 · 51 · 93 · 527 · 1581
Aliquot sum (sum of proper divisors): 723
Factor pairs (a × b = 1,581)
1 × 1581
3 × 527
17 × 93
31 × 51
First multiples
1,581 · 3,162 (double) · 4,743 · 6,324 · 7,905 · 9,486 · 11,067 · 12,648 · 14,229 · 15,810

Sums & aliquot sequence

As consecutive integers: 790 + 791 526 + 527 + 528 261 + 262 + 263 + 264 + 265 + 266 85 + 86 + … + 101
Aliquot sequence: 1,581 723 245 97 1 0 — terminates at zero

Representations

In words
one thousand five hundred eighty-one
Ordinal
1581st
Roman numeral
MDLXXXI
Binary
11000101101
Octal
3055
Hexadecimal
0x62D
Base64
Bi0=
One's complement
63,954 (16-bit)
In other bases
ternary (3) 2011120
quaternary (4) 120231
quinary (5) 22311
senary (6) 11153
septenary (7) 4416
nonary (9) 2146
undecimal (11) 1208
duodecimal (12) ab9
tridecimal (13) 948
tetradecimal (14) 80d
pentadecimal (15) 706

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αφπαʹ
Mayan (base 20)
𝋣·𝋳·𝋡
Chinese
一千五百八十一
Chinese (financial)
壹仟伍佰捌拾壹
In other modern scripts
Eastern Arabic ١٥٨١ Devanagari १५८१ Bengali ১৫৮১ Tamil ௧௫௮௧ Thai ๑๕๘๑ Tibetan ༡༥༨༡ Khmer ១៥៨១ Lao ໑໕໘໑ Burmese ၁၅၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,581 = 7
e — Euler's number (e)
Digit 1,581 = 0
φ — Golden ratio (φ)
Digit 1,581 = 5
√2 — Pythagoras's (√2)
Digit 1,581 = 1
ln 2 — Natural log of 2
Digit 1,581 = 0
γ — Euler-Mascheroni (γ)
Digit 1,581 = 1

Also seen as

Unicode codepoint
ح
Arabic Letter Hah
U+062D
Other letter (Lo)

UTF-8 encoding: D8 AD (2 bytes).

Hex color
#00062D
RGB(0, 6, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.45.

Address
0.0.6.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.45

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

Position in π

The digit sequence 1581 first appears in π at position 4,362 of the decimal expansion (the 4,362ordinal-suffix:nd 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.