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Number

1,672

1,672 is a composite number, even, a calendar year.

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

Notable events — 1672 AD

  1. Apr 6 France attacks the Dutch Republic, beginning the Franco-Dutch War.
  2. Aug 20 Mob in The Hague kills the De Witt brothers; Stadtholder William III rises.
  3. Jul 28 Anglo-French naval force ravages Dutch coasts.

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
Friday
January 1, 1672
Ended on
Saturday
December 31, 1672
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 17
Sunday, April 17, 1672
Decade
1670s
1670–1679
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
354
354 years before 2026.

In other calendars

Hebrew
5432 / 5433 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1082 / 1083 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2215 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1050 / 1051 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1664 / 1665 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1594 / 1593 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
2,761
Recamán's sequence
a(812) = 1,672
Square (n²)
2,795,584
Cube (n³)
4,674,216,448
Divisor count
16
σ(n) — sum of divisors
3,600
φ(n) — Euler's totient
720
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 11 × 19

Nearest primes: 1,669 (−3) · 1,693 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 19 · 22 · 38 · 44 · 76 · 88 · 152 · 209 · 418 · 836 (half) · 1672
Aliquot sum (sum of proper divisors): 1,928
Factor pairs (a × b = 1,672)
1 × 1672
2 × 836
4 × 418
8 × 209
11 × 152
19 × 88
22 × 76
38 × 44
First multiples
1,672 · 3,344 (double) · 5,016 · 6,688 · 8,360 · 10,032 · 11,704 · 13,376 · 15,048 · 16,720

Sums & aliquot sequence

As consecutive integers: 147 + 148 + … + 157 97 + 98 + … + 112 79 + 80 + … + 97
Aliquot sequence: 1,672 1,928 1,702 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand six hundred seventy-two
Ordinal
1672nd
Roman numeral
MDCLXXII
Binary
11010001000
Octal
3210
Hexadecimal
0x688
Base64
Bog=
One's complement
63,863 (16-bit)
In other bases
ternary (3) 2021221
quaternary (4) 122020
quinary (5) 23142
senary (6) 11424
septenary (7) 4606
nonary (9) 2257
undecimal (11) 1290
duodecimal (12) b74
tridecimal (13) 9b8
tetradecimal (14) 876
pentadecimal (15) 767

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αχοβʹ
Mayan (base 20)
𝋤·𝋣·𝋬
Chinese
一千六百七十二
Chinese (financial)
壹仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٧٢ Devanagari १६७२ Bengali ১৬৭২ Tamil ௧௬௭௨ Thai ๑๖๗๒ Tibetan ༡༦༧༢ Khmer ១៦៧២ Lao ໑໖໗໒ Burmese ၁၆၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,672 = 5
e — Euler's number (e)
Digit 1,672 = 9
φ — Golden ratio (φ)
Digit 1,672 = 8
√2 — Pythagoras's (√2)
Digit 1,672 = 9
ln 2 — Natural log of 2
Digit 1,672 = 9
γ — Euler-Mascheroni (γ)
Digit 1,672 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1672, here are decompositions:

  • 3 + 1669 = 1672
  • 5 + 1667 = 1672
  • 53 + 1619 = 1672
  • 59 + 1613 = 1672
  • 71 + 1601 = 1672
  • 89 + 1583 = 1672
  • 101 + 1571 = 1672
  • 113 + 1559 = 1672

Showing the first eight; more decompositions exist.

Unicode codepoint
ڈ
Arabic Letter Ddal
U+0688
Other letter (Lo)

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

Hex color
#000688
RGB(0, 6, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.136.

Address
0.0.6.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.136

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001672
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1672 first appears in π at position 3,399 of the decimal expansion (the 3,399ordinal-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.