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Number

752

752 is a composite number, even, a calendar year.

Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 752 AD

Calendar year

Year 752 (DCCLII) was a leap year starting on Saturday of the Julian calendar, the 752nd year of Common Era (CE) and Anno Domini (AD) designations, the 752nd year of the 1st millennium, the 52nd year of 8th century, and the 3rd year of the 750s decade.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 752 BC

Decade

This article concerns the period 759 BC – 750 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 752
Ended on
Wednesday
December 31, 752
Friday the 13ths
1
One Friday the 13th this year.
Decade
750s
750–759
Century
8th century
701–800
Millennium
1st millennium
1–1000
Years ago
1,274
1274 years before 2026.

In other calendars

Hebrew
4512 / 4513 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
134 / 135 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
1295 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
130 / 131 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
744 / 745 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
674 / 673 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
70
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
257
Recamán's sequence
a(927) = 752
Square (n²)
565,504
Cube (n³)
425,259,008
Divisor count
10
σ(n) — sum of divisors
1,488
φ(n) — Euler's totient
368
Sum of prime factors
55

Primality

Prime factorization: 2 4 × 47

Nearest primes: 751 (−1) · 757 (+5)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 47 · 94 · 188 · 376 (half) · 752
Aliquot sum (sum of proper divisors): 736
Factor pairs (a × b = 752)
1 × 752
2 × 376
4 × 188
8 × 94
16 × 47
First multiples
752 · 1,504 (double) · 2,256 · 3,008 · 3,760 · 4,512 · 5,264 · 6,016 · 6,768 · 7,520

Sums & aliquot sequence

As consecutive integers: 8 + 9 + … + 39
Aliquot sequence: 752 736 776 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
seven hundred fifty-two
Ordinal
752nd
Roman numeral
DCCLII
Binary
1011110000
Octal
1360
Hexadecimal
0x2F0
Base64
AvA=
One's complement
64,783 (16-bit)
In other bases
ternary (3) 1000212
quaternary (4) 23300
quinary (5) 11002
senary (6) 3252
septenary (7) 2123
nonary (9) 1025
undecimal (11) 624
duodecimal (12) 528
tridecimal (13) 45b
tetradecimal (14) 3ba
pentadecimal (15) 352

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
ψνβʹ
Mayan (base 20)
𝋡·𝋱·𝋬
Chinese
七百五十二
Chinese (financial)
柒佰伍拾貳
In other modern scripts
Eastern Arabic ٧٥٢ Devanagari ७५२ Bengali ৭৫২ Tamil ௭௫௨ Thai ๗๕๒ Tibetan ༧༥༢ Khmer ៧៥២ Lao ໗໕໒ Burmese ၇၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 752 = 5
e — Euler's number (e)
Digit 752 = 8
φ — Golden ratio (φ)
Digit 752 = 1
√2 — Pythagoras's (√2)
Digit 752 = 5
ln 2 — Natural log of 2
Digit 752 = 5
γ — Euler-Mascheroni (γ)
Digit 752 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 752, here are decompositions:

  • 13 + 739 = 752
  • 19 + 733 = 752
  • 43 + 709 = 752
  • 61 + 691 = 752
  • 79 + 673 = 752
  • 109 + 643 = 752
  • 139 + 613 = 752
  • 151 + 601 = 752

Showing the first eight; more decompositions exist.

Unicode codepoint
˰
Modifier Letter Low Up Arrowhead
U+02F0
Modifier symbol (Sk)

UTF-8 encoding: CB B0 (2 bytes).

Hex color
#0002F0
RGB(0, 2, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.240.

Address
0.0.2.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.240

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