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Number

1,353

1,353 is a composite number, odd, a calendar year.

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

Historical context — 1353 AD

Calendar year

Year 1353 (MCCCLIII) was a common year starting on Tuesday of the Julian calendar.

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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, 1353
Ended on
Monday
December 31, 1353
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1350s
1350–1359
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
673
673 years before 2026.

In other calendars

Hebrew
5113 / 5114 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
753 / 754 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1896 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
731 / 732 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1345 / 1346 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1275 / 1274 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
45
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
3,531
Recamán's sequence
a(16,429) = 1,353
Square (n²)
1,830,609
Cube (n³)
2,476,813,977
Divisor count
8
σ(n) — sum of divisors
2,016
φ(n) — Euler's totient
800
Sum of prime factors
55

Primality

Prime factorization: 3 × 11 × 41

Nearest primes: 1,327 (−26) · 1,361 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 11 · 33 · 41 · 123 · 451 · 1353
Aliquot sum (sum of proper divisors): 663
Factor pairs (a × b = 1,353)
1 × 1353
3 × 451
11 × 123
33 × 41
First multiples
1,353 · 2,706 (double) · 4,059 · 5,412 · 6,765 · 8,118 · 9,471 · 10,824 · 12,177 · 13,530

Sums & aliquot sequence

As consecutive integers: 676 + 677 450 + 451 + 452 223 + 224 + 225 + 226 + 227 + 228 118 + 119 + … + 128
Aliquot sequence: 1,353 663 345 231 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand three hundred fifty-three
Ordinal
1353rd
Roman numeral
MCCCLIII
Binary
10101001001
Octal
2511
Hexadecimal
0x549
Base64
BUk=
One's complement
64,182 (16-bit)
In other bases
ternary (3) 1212010
quaternary (4) 111021
quinary (5) 20403
senary (6) 10133
septenary (7) 3642
nonary (9) 1763
undecimal (11) 1020
duodecimal (12) 949
tridecimal (13) 801
tetradecimal (14) 6c9
pentadecimal (15) 603

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ατνγʹ
Mayan (base 20)
𝋣·𝋧·𝋭
Chinese
一千三百五十三
Chinese (financial)
壹仟參佰伍拾參
In other modern scripts
Eastern Arabic ١٣٥٣ Devanagari १३५३ Bengali ১৩৫৩ Tamil ௧௩௫௩ Thai ๑๓๕๓ Tibetan ༡༣༥༣ Khmer ១៣៥៣ Lao ໑໓໕໓ Burmese ၁၃၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,353 = 5
e — Euler's number (e)
Digit 1,353 = 4
φ — Golden ratio (φ)
Digit 1,353 = 2
√2 — Pythagoras's (√2)
Digit 1,353 = 7
ln 2 — Natural log of 2
Digit 1,353 = 9
γ — Euler-Mascheroni (γ)
Digit 1,353 = 3

Also seen as

Unicode codepoint
Չ
Armenian Capital Letter Cha
U+0549
Uppercase letter (Lu)

UTF-8 encoding: D5 89 (2 bytes).

Hex color
#000549
RGB(0, 5, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.73.

Address
0.0.5.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.73

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

Position in π

The digit sequence 1353 first appears in π at position 29,784 of the decimal expansion (the 29,784ordinal-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.