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Number

1,972

1,972 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1972 AD

  1. Jan 30 British soldiers shoot dead 14 unarmed protesters on Bloody Sunday in Derry, Northern Ireland.
  2. Feb 21 President Nixon visits China, ending two decades of frozen relations.
  3. Jun 17 Burglars are caught breaking into the DNC headquarters at the Watergate complex.
  4. Sep 5 Palestinian gunmen attack the Israeli team at the Munich Olympics; 11 athletes die.
  5. Dec 7 Apollo 17 launches as the last crewed mission to the Moon.

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
Saturday
January 1, 1972
Ended on
Sunday
December 31, 1972
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
April 2
Sunday, April 2, 1972
Decade
1970s
1970–1979
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
54
54 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes
Winter Olympics
Yes
Held in the same year as the Summer Games until 1992.

In other calendars

Hebrew
5732 / 5733 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1391 / 1392 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
2515 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1350 / 1351 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1964 / 1965 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1894 / 1893 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 47
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
2,791
Recamán's sequence
a(3,807) = 1,972
Square (n²)
3,888,784
Cube (n³)
7,668,682,048
Divisor count
12
σ(n) — sum of divisors
3,780
φ(n) — Euler's totient
896
Sum of prime factors
50

Primality

Prime factorization: 2 2 × 17 × 29

Nearest primes: 1,951 (−21) · 1,973 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 29 · 34 · 58 · 68 · 116 · 493 · 986 (half) · 1972
Aliquot sum (sum of proper divisors): 1,808
Factor pairs (a × b = 1,972)
1 × 1972
2 × 986
4 × 493
17 × 116
29 × 68
34 × 58
First multiples
1,972 · 3,944 (double) · 5,916 · 7,888 · 9,860 · 11,832 · 13,804 · 15,776 · 17,748 · 19,720

Sums & aliquot sequence

As a sum of two squares: 6² + 44² = 26² + 36²
As consecutive integers: 243 + 244 + … + 250 108 + 109 + … + 124 54 + 55 + … + 82
Aliquot sequence: 1,972 1,808 1,726 866 436 334 170 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand nine hundred seventy-two
Ordinal
1972nd
Roman numeral
MCMLXXII
Binary
11110110100
Octal
3664
Hexadecimal
0x7B4
Base64
B7Q=
One's complement
63,563 (16-bit)
In other bases
ternary (3) 2201001
quaternary (4) 132310
quinary (5) 30342
senary (6) 13044
septenary (7) 5515
nonary (9) 2631
undecimal (11) 1533
duodecimal (12) 1184
tridecimal (13) b89
tetradecimal (14) a0c
pentadecimal (15) 8b7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αϡοβʹ
Mayan (base 20)
𝋤·𝋲·𝋬
Chinese
一千九百七十二
Chinese (financial)
壹仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٩٧٢ Devanagari १९७२ Bengali ১৯৭২ Tamil ௧௯௭௨ Thai ๑๙๗๒ Tibetan ༡༩༧༢ Khmer ១៩៧២ Lao ໑໙໗໒ Burmese ၁၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,972 = 0
e — Euler's number (e)
Digit 1,972 = 9
φ — Golden ratio (φ)
Digit 1,972 = 4
√2 — Pythagoras's (√2)
Digit 1,972 = 5
ln 2 — Natural log of 2
Digit 1,972 = 4
γ — Euler-Mascheroni (γ)
Digit 1,972 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1972, here are decompositions:

  • 23 + 1949 = 1972
  • 41 + 1931 = 1972
  • 59 + 1913 = 1972
  • 71 + 1901 = 1972
  • 83 + 1889 = 1972
  • 101 + 1871 = 1972
  • 149 + 1823 = 1972
  • 239 + 1733 = 1972

Showing the first eight; more decompositions exist.

Hex color
#0007B4
RGB(0, 7, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.180.

Address
0.0.7.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.180

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

Position in π

The digit sequence 1972 first appears in π at position 10,945 of the decimal expansion (the 10,945ordinal-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.