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Number

1,652

1,652 is a composite number, even, a calendar year.

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

Notable events — 1652 AD

  1. Apr 6 Dutch settlers found Cape Town in southern Africa.
  2. Jul 10 The First Anglo-Dutch War begins.
  3. Aug 28 England and the Dutch clash at Plymouth.

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
Monday
January 1, 1652
Ended on
Tuesday
December 31, 1652
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 31
Sunday, March 31, 1652
Decade
1650s
1650–1659
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
374
374 years before 2026.

In other calendars

Hebrew
5412 / 5413 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1062 / 1063 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2195 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1030 / 1031 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1644 / 1645 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1574 / 1573 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
2,561
Recamán's sequence
a(872) = 1,652
Square (n²)
2,729,104
Cube (n³)
4,508,479,808
Divisor count
12
σ(n) — sum of divisors
3,360
φ(n) — Euler's totient
696
Sum of prime factors
70

Primality

Prime factorization: 2 2 × 7 × 59

Nearest primes: 1,637 (−15) · 1,657 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 59 · 118 · 236 · 413 · 826 (half) · 1652
Aliquot sum (sum of proper divisors): 1,708
Factor pairs (a × b = 1,652)
1 × 1652
2 × 826
4 × 413
7 × 236
14 × 118
28 × 59
First multiples
1,652 · 3,304 (double) · 4,956 · 6,608 · 8,260 · 9,912 · 11,564 · 13,216 · 14,868 · 16,520

Sums & aliquot sequence

As consecutive integers: 233 + 234 + … + 239 203 + 204 + … + 210 2 + 3 + … + 57
Aliquot sequence: 1,652 1,708 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand six hundred fifty-two
Ordinal
1652nd
Roman numeral
MDCLII
Binary
11001110100
Octal
3164
Hexadecimal
0x674
Base64
BnQ=
One's complement
63,883 (16-bit)
In other bases
ternary (3) 2021012
quaternary (4) 121310
quinary (5) 23102
senary (6) 11352
septenary (7) 4550
nonary (9) 2235
undecimal (11) 1272
duodecimal (12) b58
tridecimal (13) 9a1
tetradecimal (14) 860
pentadecimal (15) 752

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αχνβʹ
Mayan (base 20)
𝋤·𝋢·𝋬
Chinese
一千六百五十二
Chinese (financial)
壹仟陸佰伍拾貳
In other modern scripts
Eastern Arabic ١٦٥٢ Devanagari १६५२ Bengali ১৬৫২ Tamil ௧௬௫௨ Thai ๑๖๕๒ Tibetan ༡༦༥༢ Khmer ១៦៥២ Lao ໑໖໕໒ Burmese ၁၆၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,652 = 1
e — Euler's number (e)
Digit 1,652 = 8
φ — Golden ratio (φ)
Digit 1,652 = 1
√2 — Pythagoras's (√2)
Digit 1,652 = 8
ln 2 — Natural log of 2
Digit 1,652 = 5
γ — Euler-Mascheroni (γ)
Digit 1,652 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1652, here are decompositions:

  • 31 + 1621 = 1652
  • 43 + 1609 = 1652
  • 73 + 1579 = 1652
  • 103 + 1549 = 1652
  • 109 + 1543 = 1652
  • 163 + 1489 = 1652
  • 181 + 1471 = 1652
  • 193 + 1459 = 1652

Showing the first eight; more decompositions exist.

Unicode codepoint
ٴ
Arabic Letter High Hamza
U+0674
Other letter (Lo)

UTF-8 encoding: D9 B4 (2 bytes).

Hex color
#000674
RGB(0, 6, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.116.

Address
0.0.6.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.116

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

Position in π

The digit sequence 1652 first appears in π at position 238 of the decimal expansion (the 238ordinal-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.