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Number

1,416

1,416 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Historical context — 1416 AD

Calendar year

Year 1416 (MCDXVI) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1416
Ended on
Tuesday
December 31, 1416
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1410s
1410–1419
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
610
610 years before 2026.

In other calendars

Hebrew
5176 / 5177 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
818 / 819 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1959 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
794 / 795 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1408 / 1409 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1338 / 1337 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
6,141
Recamán's sequence
a(524) = 1,416
Square (n²)
2,005,056
Cube (n³)
2,839,159,296
Divisor count
16
σ(n) — sum of divisors
3,600
φ(n) — Euler's totient
464
Sum of prime factors
68

Primality

Prime factorization: 2 3 × 3 × 59

Nearest primes: 1,409 (−7) · 1,423 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 59 · 118 · 177 · 236 · 354 · 472 · 708 (half) · 1416
Aliquot sum (sum of proper divisors): 2,184
Factor pairs (a × b = 1,416)
1 × 1416
2 × 708
3 × 472
4 × 354
6 × 236
8 × 177
12 × 118
24 × 59
First multiples
1,416 · 2,832 (double) · 4,248 · 5,664 · 7,080 · 8,496 · 9,912 · 11,328 · 12,744 · 14,160

Sums & aliquot sequence

As consecutive integers: 471 + 472 + 473 81 + 82 + … + 96 6 + 7 + … + 53
Aliquot sequence: 1,416 2,184 4,536 9,984 18,632 18,628 13,978 7,802 4,294 2,546 1,534 986 634 320 442 314 160 — unresolved within range

Representations

In words
one thousand four hundred sixteen
Ordinal
1416th
Roman numeral
MCDXVI
Binary
10110001000
Octal
2610
Hexadecimal
0x588
Base64
BYg=
One's complement
64,119 (16-bit)
In other bases
ternary (3) 1221110
quaternary (4) 112020
quinary (5) 21131
senary (6) 10320
septenary (7) 4062
nonary (9) 1843
undecimal (11) 1078
duodecimal (12) 9a0
tridecimal (13) 84c
tetradecimal (14) 732
pentadecimal (15) 646

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυιϛʹ
Mayan (base 20)
𝋣·𝋪·𝋰
Chinese
一千四百一十六
Chinese (financial)
壹仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١٤١٦ Devanagari १४१६ Bengali ১৪১৬ Tamil ௧௪௧௬ Thai ๑๔๑๖ Tibetan ༡༤༡༦ Khmer ១៤១៦ Lao ໑໔໑໖ Burmese ၁၄၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,416 = 0
e — Euler's number (e)
Digit 1,416 = 0
φ — Golden ratio (φ)
Digit 1,416 = 9
√2 — Pythagoras's (√2)
Digit 1,416 = 1
ln 2 — Natural log of 2
Digit 1,416 = 8
γ — Euler-Mascheroni (γ)
Digit 1,416 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1416, here are decompositions:

  • 7 + 1409 = 1416
  • 17 + 1399 = 1416
  • 43 + 1373 = 1416
  • 89 + 1327 = 1416
  • 97 + 1319 = 1416
  • 109 + 1307 = 1416
  • 113 + 1303 = 1416
  • 127 + 1289 = 1416

Showing the first eight; more decompositions exist.

Unicode codepoint
ֈ
Armenian Small Letter Yi With Stroke
U+0588
Lowercase letter (Ll)

UTF-8 encoding: D6 88 (2 bytes).

Hex color
#000588
RGB(0, 5, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.136.

Address
0.0.5.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.136

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

Position in π

The digit sequence 1416 first appears in π at position 3,648 of the decimal expansion (the 3,648ordinal-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.