Number

1,626

1,626 is a composite number, even, a calendar year.

1,626 (one thousand six hundred twenty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 271. Its proper divisors sum to 1,638, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCXXVI and in binary, 11001011010.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,614 1,615 1,616 1,617 1,618 1,619 1,620 1,621 1,622 1,623 1,624 1,625 1,626 1,627 1,628 1,629 1,630 1,631 1,632 1,633 1,634 1,635 1,636 1,637 1,638

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Notable events — 1626 AD

May 24 Peter Minuit purchases Manhattan from the Lenape for goods valued at 60 guilders.
Aug 27 Catholic forces win at Lutter, crushing Danish intervention in the Thirty Years' War.
Apr 9 Francis Bacon dies after experimenting with food preservation.

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, 1626
Ended on: Thursday
December 31, 1626
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 12
Sunday, April 12, 1626
Decade: 1620s
1620–1629
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 400
400 years before 2026.

In other calendars

Hebrew: 5386 / 5387 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1035 / 1036 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2169 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1004 / 1005 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1618 / 1619 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1548 / 1547 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 6,261
Recamán's sequence: a(700) = 1,626
Square (n²): 2,643,876
Cube (n³): 4,298,942,376
Divisor count: 8
σ(n) — sum of divisors: 3,264
φ(n) — Euler's totient: 540
Sum of prime factors: 276

Primality

Prime factorization: 2 × 3 × 271

Nearest primes: 1,621 (−5) · 1,627 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 271 · 542 · 813 (half) · 1626

Aliquot sum (sum of proper divisors): 1,638

Factor pairs (a × b = 1,626)

1 × 1626

2 × 813

3 × 542

6 × 271

First multiples

1,626 · 3,252 (double) · 4,878 · 6,504 · 8,130 · 9,756 · 11,382 · 13,008 · 14,634 · 16,260

Sums & aliquot sequence

As consecutive integers: 541 + 542 + 543 405 + 406 + 407 + 408 130 + 131 + … + 141

Aliquot sequence: 1,626 → 1,638 → 2,730 → 5,334 → 6,954 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,626 = [40; (3, 11, 5, 3, 2, 7, 1, 1, 1, 2, 1, 1, 2, 1, 12, 1, 2, 1, 1, 2, 1, 1, 1, 7, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred twenty-six
Ordinal: 1626th
Roman numeral: MDCXXVI
Binary: 11001011010
Octal: 3132
Hexadecimal: 0x65A
Base64: Blo=
One's complement: 63,909 (16-bit)
Scientific notation: 1.626 × 10³
As a duration: 1,626 s = 27 minutes, 6 seconds

In other bases

ternary (3) 2020020

quaternary (4) 121122

quinary (5) 23001

senary (6) 11310

septenary (7) 4512

nonary (9) 2206

undecimal (11) 1249

duodecimal (12) b36

tridecimal (13) 981

tetradecimal (14) 842

pentadecimal (15) 736

As an angle

1,626° = 4 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχκϛʹ
Mayan (base 20): 𝋤·𝋡·𝋦
Chinese: 一千六百二十六
Chinese (financial): 壹仟陸佰貳拾陸

In other modern scripts

Eastern Arabic ١٦٢٦ Devanagari १६२६ Bengali ১৬২৬ Tamil ௧௬௨௬ Thai ๑๖๒๖ Tibetan ༡༦༢༦ Khmer ១៦២៦ Lao ໑໖໒໖ Burmese ၁၆၂၆

Digit at this position in famous constants

π — Pi (π): Digit 1,626 = 1
e — Euler's number (e): Digit 1,626 = 3
φ — Golden ratio (φ): Digit 1,626 = 4
√2 — Pythagoras's (√2): Digit 1,626 = 6
ln 2 — Natural log of 2: Digit 1,626 = 4
γ — Euler-Mascheroni (γ): Digit 1,626 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1626, here are decompositions:

5 + 1621 = 1626
7 + 1619 = 1626
13 + 1613 = 1626
17 + 1609 = 1626
19 + 1607 = 1626
29 + 1597 = 1626
43 + 1583 = 1626
47 + 1579 = 1626

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Vowel Sign Small V Above

U+065A

Non-spacing mark (Mn)

UTF-8 encoding: D9 9A (2 bytes).

Lookup U+065A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00065A

RGB(0, 6, 90)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.90.

Address: 0.0.6.90
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.90

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

Musical pitch

Heard as a frequency, 1,626 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, -36¢)

Position in π

The digit sequence 1626 first appears in π at position 13,510 of the decimal expansion (the 13,510ordinal-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 1626 on Pi Search ↗