Number

975

975 is a composite number, odd, a calendar year.

975 (nine hundred seventy-five) is an odd 3-digit number. It is a composite number with 12 divisors, and factors as 3 × 5² × 13. Written other ways, in Roman numerals it is CMLXXV and in binary, 1111001111.

Binary Palindrome Cube-Free Deficient Number Descending Digits Evil Number Recamán's Sequence Stepped Digits Year

Interestingness

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5 notable facts · grade C

963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987

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Historical context — 975 AD

Calendar year

Year 975 (CMLXXV) was a common year starting on Friday of the Julian calendar.

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

Historical context — 975 BC

Decade

The 970s BC is a decade that lasted from 979 BC to 970 BC.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Sunday
January 1, 975
Ended on: Sunday
December 31, 975
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 970s
970–979
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,051
1051 years before 2026.

In other calendars

Hebrew: 4735 / 4736 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 364 / 365 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Pig
Sexagenary cycle position 12 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1518 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 353 / 354 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 967 / 968 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 897 / 896 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 21
Digit product: 315
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 579
Recamán's sequence: a(4,469) = 975
Square (n²): 950,625
Cube (n³): 926,859,375
Divisor count: 12
σ(n) — sum of divisors: 1,736
φ(n) — Euler's totient: 480
Sum of prime factors: 26

Primality

Prime factorization: 3 × 5 ² × 13

Nearest primes: 971 (−4) · 977 (+2)

Divisors & multiples

All divisors (12)

1 · 3 · 5 · 13 · 15 · 25 · 39 · 65 · 75 · 195 · 325 · 975

Aliquot sum (sum of proper divisors): 761

Factor pairs (a × b = 975)

1 × 975

3 × 325

5 × 195

13 × 75

15 × 65

25 × 39

First multiples

975 · 1,950 (double) · 2,925 · 3,900 · 4,875 · 5,850 · 6,825 · 7,800 · 8,775 · 9,750

Sums & aliquot sequence

As consecutive integers: 487 + 488 324 + 325 + 326 193 + 194 + 195 + 196 + 197 160 + 161 + 162 + 163 + 164 + 165

Aliquot sequence: 975 → 761 → 1 → 0 — terminates at zero

Continued fraction of √n

√975 = [31; (4, 2, 4, 62)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine hundred seventy-five
Ordinal: 975th
Roman numeral: CMLXXV
Binary: 1111001111
Octal: 1717
Hexadecimal: 0x3CF
Base64: A88=
One's complement: 64,560 (16-bit)
Scientific notation: 9.75 × 10²
As a duration: 975 s = 16 minutes, 15 seconds

In other bases

ternary (3) 1100010

quaternary (4) 33033

quinary (5) 12400

senary (6) 4303

septenary (7) 2562

nonary (9) 1303

undecimal (11) 807

duodecimal (12) 693

tridecimal (13) 5a0

tetradecimal (14) 4d9

pentadecimal (15) 450

Palindromic in base 2, base 4

As an angle

975° = 2 × 360° + 255°

255° ≈ 4.451 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡοεʹ
Mayan (base 20): 𝋢·𝋨·𝋯
Chinese: 九百七十五
Chinese (financial): 玖佰柒拾伍

In other modern scripts

Eastern Arabic ٩٧٥ Devanagari ९७५ Bengali ৯৭৫ Tamil ௯௭௫ Thai ๙๗๕ Tibetan ༩༧༥ Khmer ៩៧៥ Lao ໙໗໕ Burmese ၉၇၅

Digit at this position in famous constants

π — Pi (π): Digit 975 = 0
e — Euler's number (e): Digit 975 = 9
φ — Golden ratio (φ): Digit 975 = 5
√2 — Pythagoras's (√2): Digit 975 = 7
ln 2 — Natural log of 2: Digit 975 = 4
γ — Euler-Mascheroni (γ): Digit 975 = 9

Also seen as

Unicode codepoint

Greek Capital Kai Symbol

U+03CF

Uppercase letter (Lu)

UTF-8 encoding: CF 8F (2 bytes).

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

Hex color

#0003CF

RGB(0, 3, 207)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.207.

Address: 0.0.3.207
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.207

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

Musical pitch

Heard as a frequency, 975 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -23¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -21¢)