Number

948

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

948 (nine hundred forty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 79. Its proper divisors sum to 1,292, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXLVIII and in binary, 1110110100.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960

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Historical context — 948 AD

Calendar year

Year 948 (CMXLVIII) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 948 BC

Decade

The 940s BC is a decade that lasted from 949 BC to 940 BC.

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: 52
Started on: Monday
January 1, 948
Ended on: Tuesday
December 31, 948
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 940s
940–949
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,078
1078 years before 2026.

In other calendars

Hebrew: 4708 / 4709 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 336 / 337 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: 1491 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 326 / 327 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 940 / 941 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 870 / 869 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 21
Digit product: 288
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 849
Recamán's sequence: a(647) = 948
Square (n²): 898,704
Cube (n³): 851,971,392
Divisor count: 12
σ(n) — sum of divisors: 2,240
φ(n) — Euler's totient: 312
Sum of prime factors: 86

Primality

Prime factorization: 2 ² × 3 × 79

Nearest primes: 947 (−1) · 953 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 79 · 158 · 237 · 316 · 474 (half) · 948

Aliquot sum (sum of proper divisors): 1,292

Factor pairs (a × b = 948)

1 × 948

2 × 474

3 × 316

4 × 237

6 × 158

12 × 79

First multiples

948 · 1,896 (double) · 2,844 · 3,792 · 4,740 · 5,688 · 6,636 · 7,584 · 8,532 · 9,480

Sums & aliquot sequence

As consecutive integers: 315 + 316 + 317 115 + 116 + … + 122 28 + 29 + … + 51

Aliquot sequence: 948 → 1,292 → 1,228 → 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 — unresolved within range

Continued fraction of √n

√948 = [30; (1, 3, 1, 3, 20, 3, 1, 3, 1, 60)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: nine hundred forty-eight
Ordinal: 948th
Roman numeral: CMXLVIII
Binary: 1110110100
Octal: 1664
Hexadecimal: 0x3B4
Base64: A7Q=
One's complement: 64,587 (16-bit)
Scientific notation: 9.48 × 10²
As a duration: 948 s = 15 minutes, 48 seconds

In other bases

ternary (3) 1022010

quaternary (4) 32310

quinary (5) 12243

senary (6) 4220

septenary (7) 2523

nonary (9) 1263

undecimal (11) 792

duodecimal (12) 670

tridecimal (13) 57c

tetradecimal (14) 4ba

pentadecimal (15) 433

As an angle

948° = 2 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡμηʹ
Mayan (base 20): 𝋢·𝋧·𝋨
Chinese: 九百四十八
Chinese (financial): 玖佰肆拾捌

In other modern scripts

Eastern Arabic ٩٤٨ Devanagari ९४८ Bengali ৯৪৮ Tamil ௯௪௮ Thai ๙๔๘ Tibetan ༩༤༨ Khmer ៩៤៨ Lao ໙໔໘ Burmese ၉၄၈

Digit at this position in famous constants

π — Pi (π): Digit 948 = 5
e — Euler's number (e): Digit 948 = 5
φ — Golden ratio (φ): Digit 948 = 3
√2 — Pythagoras's (√2): Digit 948 = 7
ln 2 — Natural log of 2: Digit 948 = 9
γ — Euler-Mascheroni (γ): Digit 948 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948, here are decompositions:

7 + 941 = 948
11 + 937 = 948
19 + 929 = 948
29 + 919 = 948
37 + 911 = 948
41 + 907 = 948
61 + 887 = 948
67 + 881 = 948

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Small Letter Delta

U+03B4

Lowercase letter (Ll)

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

Lookup U+03B4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003B4

RGB(0, 3, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.180.

Address: 0.0.3.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.180

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

Musical pitch

Heard as a frequency, 948 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, +30¢)

Food additive (E-number)

On an ingredients label, E948 is Oxygen, a glazing agent, gas or sweetener.

E-number reference (Wikipedia) ↗