Number

1,752

1,752 is a composite number, even, a calendar year.

1,752 (one thousand seven hundred fifty-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 73. Its proper divisors sum to 2,688, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCLII and in binary, 11011011000.

Abundant Number Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,740 1,741 1,742 1,743 1,744 1,745 1,746 1,747 1,748 1,749 1,750 1,751 1,752 1,753 1,754 1,755 1,756 1,757 1,758 1,759 1,760 1,761 1,762 1,763 1,764

less more

Notable events — 1752 AD

Sep 2 Britain and its colonies skip 11 days to adopt the Gregorian calendar.
Jun 15 Benjamin Franklin's kite experiment demonstrates the electrical nature of lightning.
Jan 6 The American colonies adopt the new calendar; New Year's Day moves to January 1.

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, 1752
Ended on: Sunday
December 31, 1752
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 2
Sunday, April 2, 1752
Decade: 1750s
1750–1759
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 274
274 years before 2026.

In other calendars

Hebrew: 5512 / 5513 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1165 / 1166 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2295 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1130 / 1131 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1744 / 1745 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1674 / 1673 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 70
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 2,571
Recamán's sequence: a(16,195) = 1,752
Square (n²): 3,069,504
Cube (n³): 5,377,771,008
Divisor count: 16
σ(n) — sum of divisors: 4,440
φ(n) — Euler's totient: 576
Sum of prime factors: 82

Primality

Prime factorization: 2 ³ × 3 × 73

Nearest primes: 1,747 (−5) · 1,753 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 73 · 146 · 219 · 292 · 438 · 584 · 876 (half) · 1752

Aliquot sum (sum of proper divisors): 2,688

Factor pairs (a × b = 1,752)

1 × 1752

2 × 876

3 × 584

4 × 438

6 × 292

8 × 219

12 × 146

24 × 73

First multiples

1,752 · 3,504 (double) · 5,256 · 7,008 · 8,760 · 10,512 · 12,264 · 14,016 · 15,768 · 17,520

Sums & aliquot sequence

As consecutive integers: 583 + 584 + 585 102 + 103 + … + 117 13 + 14 + … + 60

Aliquot sequence: 1,752 → 2,688 → 5,472 → 10,908 → 17,652 → 23,564 → 18,940 → 20,876 → 17,932 → 13,456 → 13,545 → 13,911 → 4,641 → 3,423 → 1,825 → 469 → 75 — unresolved within range

Continued fraction of √n

√1,752 = [41; (1, 5, 1, 82)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred fifty-two
Ordinal: 1752nd
Roman numeral: MDCCLII
Binary: 11011011000
Octal: 3330
Hexadecimal: 0x6D8
Base64: Btg=
One's complement: 63,783 (16-bit)
Scientific notation: 1.752 × 10³
As a duration: 1,752 s = 29 minutes, 12 seconds

In other bases

ternary (3) 2101220

quaternary (4) 123120

quinary (5) 24002

senary (6) 12040

septenary (7) 5052

nonary (9) 2356

undecimal (11) 1353

duodecimal (12) 1020

tridecimal (13) a4a

tetradecimal (14) 8d2

pentadecimal (15) 7bc

Palindromic in base 13

As an angle

1,752° = 4 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αψνβʹ
Mayan (base 20): 𝋤·𝋧·𝋬
Chinese: 一千七百五十二
Chinese (financial): 壹仟柒佰伍拾貳

In other modern scripts

Eastern Arabic ١٧٥٢ Devanagari १७५२ Bengali ১৭৫২ Tamil ௧௭௫௨ Thai ๑๗๕๒ Tibetan ༡༧༥༢ Khmer ១៧៥២ Lao ໑໗໕໒ Burmese ၁၇၅၂

Digit at this position in famous constants

π — Pi (π): Digit 1,752 = 5
e — Euler's number (e): Digit 1,752 = 6
φ — Golden ratio (φ): Digit 1,752 = 8
√2 — Pythagoras's (√2): Digit 1,752 = 4
ln 2 — Natural log of 2: Digit 1,752 = 2
γ — Euler-Mascheroni (γ): Digit 1,752 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1752, here are decompositions:

5 + 1747 = 1752
11 + 1741 = 1752
19 + 1733 = 1752
29 + 1723 = 1752
31 + 1721 = 1752
43 + 1709 = 1752
53 + 1699 = 1752
59 + 1693 = 1752

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Small High Meem Initial Form

U+06D8

Non-spacing mark (Mn)

UTF-8 encoding: DB 98 (2 bytes).

Lookup U+06D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006D8

RGB(0, 6, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.216.

Address: 0.0.6.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.216

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

Musical pitch

Heard as a frequency, 1,752 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -7¢)

Position in π

The digit sequence 1752 first appears in π at position 35,023 of the decimal expansion (the 35,023ordinal-suffix:rd 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 1752 on Pi Search ↗