Number

1,608

1,608 is a composite number, even, a calendar year.

1,608 (one thousand six hundred eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 67. Its proper divisors sum to 2,472, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCVIII and in binary, 11001001000.

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,596 1,597 1,598 1,599 1,600 1,601 1,602 1,603 1,604 1,605 1,606 1,607 1,608 1,609 1,610 1,611 1,612 1,613 1,614 1,615 1,616 1,617 1,618 1,619 1,620

less more

Notable events — 1608 AD

Jul 3 Samuel de Champlain founds Quebec City.
Sep 25 Hans Lippershey applies for a patent on the telescope.
Jul 4 The League of Princes forms in the Holy Roman Empire.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Tuesday
January 1, 1608
Ended on: Wednesday
December 31, 1608
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 6
Sunday, April 6, 1608
Decade: 1600s
1600–1609
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 418
418 years before 2026.

In other calendars

Hebrew: 5368 / 5369 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1016 / 1017 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2151 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 986 / 987 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1600 / 1601 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1530 / 1529 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 8,061
Flips to (rotate 180°): 8,091
Recamán's sequence: a(1,328) = 1,608
Square (n²): 2,585,664
Cube (n³): 4,157,747,712
Divisor count: 16
σ(n) — sum of divisors: 4,080
φ(n) — Euler's totient: 528
Sum of prime factors: 76

Primality

Prime factorization: 2 ³ × 3 × 67

Nearest primes: 1,607 (−1) · 1,609 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 67 · 134 · 201 · 268 · 402 · 536 · 804 (half) · 1608

Aliquot sum (sum of proper divisors): 2,472

Factor pairs (a × b = 1,608)

1 × 1608

2 × 804

3 × 536

4 × 402

6 × 268

8 × 201

12 × 134

24 × 67

First multiples

1,608 · 3,216 (double) · 4,824 · 6,432 · 8,040 · 9,648 · 11,256 · 12,864 · 14,472 · 16,080

Sums & aliquot sequence

As consecutive integers: 535 + 536 + 537 93 + 94 + … + 108 10 + 11 + … + 57

Aliquot sequence: 1,608 → 2,472 → 3,768 → 5,712 → 12,144 → 23,568 → 37,440 → 101,244 → 180,996 → 241,356 → 321,836 → 251,044 → 188,290 → 168,830 → 135,082 → 88,478 → 59,698 — unresolved within range

Continued fraction of √n

√1,608 = [40; (10, 80)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred eight
Ordinal: 1608th
Roman numeral: MDCVIII
Binary: 11001001000
Octal: 3110
Hexadecimal: 0x648
Base64: Bkg=
One's complement: 63,927 (16-bit)
Scientific notation: 1.608 × 10³
As a duration: 1,608 s = 26 minutes, 48 seconds

In other bases

ternary (3) 2012120

quaternary (4) 121020

quinary (5) 22413

senary (6) 11240

septenary (7) 4455

nonary (9) 2176

undecimal (11) 1232

duodecimal (12) b20

tridecimal (13) 969

tetradecimal (14) 82c

pentadecimal (15) 723

Palindromic in base 13

As an angle

1,608° = 4 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχηʹ
Mayan (base 20): 𝋤·𝋠·𝋨
Chinese: 一千六百零八
Chinese (financial): 壹仟陸佰零捌

In other modern scripts

Eastern Arabic ١٦٠٨ Devanagari १६०८ Bengali ১৬০৮ Tamil ௧௬௦௮ Thai ๑๖๐๘ Tibetan ༡༦༠༨ Khmer ១៦០៨ Lao ໑໖໐໘ Burmese ၁၆၀၈

Digit at this position in famous constants

π — Pi (π): Digit 1,608 = 6
e — Euler's number (e): Digit 1,608 = 8
φ — Golden ratio (φ): Digit 1,608 = 0
√2 — Pythagoras's (√2): Digit 1,608 = 8
ln 2 — Natural log of 2: Digit 1,608 = 9
γ — Euler-Mascheroni (γ): Digit 1,608 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1608, here are decompositions:

7 + 1601 = 1608
11 + 1597 = 1608
29 + 1579 = 1608
37 + 1571 = 1608
41 + 1567 = 1608
59 + 1549 = 1608
97 + 1511 = 1608
109 + 1499 = 1608

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Waw

U+0648

Other letter (Lo)

UTF-8 encoding: D9 88 (2 bytes).

Lookup U+0648 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000648

RGB(0, 6, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.72.

Address: 0.0.6.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.72

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

Musical pitch

Heard as a frequency, 1,608 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -19¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +45¢ — about midway to A6)

Position in π

The digit sequence 1608 first appears in π at position 2,345 of the decimal expansion (the 2,345ordinal-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.

Look up 1608 on Pi Search ↗