Number

1,248

1,248 is a composite number, even, a calendar year.

1,248 (one thousand two hundred forty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 13. Its proper divisors sum to 2,280, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXLVIII and in binary, 10011100000.

Abundant Number Arithmetic Number Ascending Digits Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,236 1,237 1,238 1,239 1,240 1,241 1,242 1,243 1,244 1,245 1,246 1,247 1,248 1,249 1,250 1,251 1,252 1,253 1,254 1,255 1,256 1,257 1,258 1,259 1,260

less more

Historical context — 1248 AD

Calendar year

Year 1248 (MCCXLVIII) was a leap year starting on Wednesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1248
Ended on: Thursday
December 31, 1248
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1240s
1240–1249
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 778
778 years before 2026.

In other calendars

Hebrew: 5008 / 5009 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 645 / 646 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1791 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 626 / 627 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1240 / 1241 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1170 / 1169 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 64
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 8,421
Recamán's sequence: a(8,492) = 1,248
Square (n²): 1,557,504
Cube (n³): 1,943,764,992
Divisor count: 24
σ(n) — sum of divisors: 3,528
φ(n) — Euler's totient: 384
Sum of prime factors: 26

Primality

Prime factorization: 2 ⁵ × 3 × 13

Nearest primes: 1,237 (−11) · 1,249 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 78 · 96 · 104 · 156 · 208 · 312 · 416 · 624 (half) · 1248

Aliquot sum (sum of proper divisors): 2,280

Factor pairs (a × b = 1,248)

1 × 1248

2 × 624

3 × 416

4 × 312

6 × 208

8 × 156

12 × 104

13 × 96

16 × 78

24 × 52

26 × 48

32 × 39

First multiples

1,248 · 2,496 (double) · 3,744 · 4,992 · 6,240 · 7,488 · 8,736 · 9,984 · 11,232 · 12,480

Sums & aliquot sequence

As consecutive integers: 415 + 416 + 417 90 + 91 + … + 102 13 + 14 + … + 51

Aliquot sequence: 1,248 → 2,280 → 4,920 → 10,200 → 23,280 → 49,632 → 95,520 → 206,880 → 446,304 → 725,496 → 1,280,904 → 2,154,696 → 3,232,104 → 4,915,416 → 8,833,704 → 15,258,936 → 34,507,464 — unresolved within range

Continued fraction of √n

√1,248 = [35; (3, 17, 3, 70)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred forty-eight
Ordinal: 1248th
Roman numeral: MCCXLVIII
Binary: 10011100000
Octal: 2340
Hexadecimal: 0x4E0
Base64: BOA=
One's complement: 64,287 (16-bit)
Scientific notation: 1.248 × 10³
As a duration: 1,248 s = 20 minutes, 48 seconds

In other bases

ternary (3) 1201020

quaternary (4) 103200

quinary (5) 14443

senary (6) 5440

septenary (7) 3432

nonary (9) 1636

undecimal (11) a35

duodecimal (12) 880

tridecimal (13) 750

tetradecimal (14) 652

pentadecimal (15) 583

As an angle

1,248° = 3 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ασμηʹ
Mayan (base 20): 𝋣·𝋢·𝋨
Chinese: 一千二百四十八
Chinese (financial): 壹仟貳佰肆拾捌

In other modern scripts

Eastern Arabic ١٢٤٨ Devanagari १२४८ Bengali ১২৪৮ Tamil ௧௨௪௮ Thai ๑๒๔๘ Tibetan ༡༢༤༨ Khmer ១២៤៨ Lao ໑໒໔໘ Burmese ၁၂၄၈

Digit at this position in famous constants

π — Pi (π): Digit 1,248 = 3
e — Euler's number (e): Digit 1,248 = 2
φ — Golden ratio (φ): Digit 1,248 = 8
√2 — Pythagoras's (√2): Digit 1,248 = 3
ln 2 — Natural log of 2: Digit 1,248 = 3
γ — Euler-Mascheroni (γ): Digit 1,248 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1248, here are decompositions:

11 + 1237 = 1248
17 + 1231 = 1248
19 + 1229 = 1248
31 + 1217 = 1248
47 + 1201 = 1248
61 + 1187 = 1248
67 + 1181 = 1248
97 + 1151 = 1248

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Abkhasian Dze

U+04E0

Uppercase letter (Lu)

UTF-8 encoding: D3 A0 (2 bytes).

Lookup U+04E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004E0

RGB(0, 4, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.224.

Address: 0.0.4.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.224

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

Musical pitch

Heard as a frequency, 1,248 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +5¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +6¢)

Position in π

The digit sequence 1248 first appears in π at position 18,381 of the decimal expansion (the 18,381ordinal-suffix:st 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 1248 on Pi Search ↗