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Number

1,615

1,615 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1615 AD

  1. Jun 4 Tokugawa Ieyasu destroys the Toyotomi clan at Osaka Castle.
  2. Jul 11 England's House of Commons asserts its right to debate impositions.
  3. Undated Cervantes publishes Don Quixote, Part Two.

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, 1615
Ended on
Thursday
December 31, 1615
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 19
Sunday, April 19, 1615
Decade
1610s
1610–1619
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
411
411 years before 2026.

In other calendars

Hebrew
5375 / 5376 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1023 / 1024 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rabbit
Sexagenary cycle position 52 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2158 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
993 / 994 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1607 / 1608 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1537 / 1536 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
5,161
Recamán's sequence
a(722) = 1,615
Square (n²)
2,608,225
Cube (n³)
4,212,283,375
Divisor count
8
σ(n) — sum of divisors
2,160
φ(n) — Euler's totient
1,152
Sum of prime factors
41

Primality

Prime factorization: 5 × 17 × 19

Nearest primes: 1,613 (−2) · 1,619 (+4)

Divisors & multiples

All divisors (8)
1 · 5 · 17 · 19 · 85 · 95 · 323 · 1615
Aliquot sum (sum of proper divisors): 545
Factor pairs (a × b = 1,615)
1 × 1615
5 × 323
17 × 95
19 × 85
First multiples
1,615 · 3,230 (double) · 4,845 · 6,460 · 8,075 · 9,690 · 11,305 · 12,920 · 14,535 · 16,150

Sums & aliquot sequence

As consecutive integers: 807 + 808 321 + 322 + 323 + 324 + 325 157 + 158 + … + 166 87 + 88 + … + 103
Aliquot sequence: 1,615 545 115 29 1 0 — terminates at zero

Representations

In words
one thousand six hundred fifteen
Ordinal
1615th
Roman numeral
MDCXV
Binary
11001001111
Octal
3117
Hexadecimal
0x64F
Base64
Bk8=
One's complement
63,920 (16-bit)
In other bases
ternary (3) 2012211
quaternary (4) 121033
quinary (5) 22430
senary (6) 11251
septenary (7) 4465
nonary (9) 2184
undecimal (11) 1239
duodecimal (12) b27
tridecimal (13) 973
tetradecimal (14) 835
pentadecimal (15) 72a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχιεʹ
Mayan (base 20)
𝋤·𝋠·𝋯
Chinese
一千六百一十五
Chinese (financial)
壹仟陸佰壹拾伍
In other modern scripts
Eastern Arabic ١٦١٥ Devanagari १६१५ Bengali ১৬১৫ Tamil ௧௬௧௫ Thai ๑๖๑๕ Tibetan ༡༦༡༥ Khmer ១៦១៥ Lao ໑໖໑໕ Burmese ၁၆၁၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,615 = 5
e — Euler's number (e)
Digit 1,615 = 3
φ — Golden ratio (φ)
Digit 1,615 = 0
√2 — Pythagoras's (√2)
Digit 1,615 = 2
ln 2 — Natural log of 2
Digit 1,615 = 9
γ — Euler-Mascheroni (γ)
Digit 1,615 = 8

Also seen as

Unicode codepoint
ُ
Arabic Damma
U+064F
Non-spacing mark (Mn)

UTF-8 encoding: D9 8F (2 bytes).

Hex color
#00064F
RGB(0, 6, 79)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.79.

Address
0.0.6.79
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.79

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

Position in π

The digit sequence 1615 first appears in π at position 8,202 of the decimal expansion (the 8,202ordinal-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.