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Number

75

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

75 (seventy-five) is an odd 2-digit number. It is a composite number with 6 divisors, and factors as 3 × 5². Written other ways, in Roman numerals it is LXXV and in binary, 1001011.

Cube-Free Deficient Number Evil Number Keith Number Nonagonal Pentagonal Pyramidal Preferred Number Recamán's Sequence Self Number Year

Interestingness

7 notable facts · grade B
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Historical context — 75 AD

Calendar year

AD 75 (LXXV) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 75 BC

Calendar year

Year 75 BC was a year of the pre-Julian Roman calendar.

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
Tuesday
January 1, 75
Ended on
Tuesday
December 31, 75
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
70s
70–79
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,951
1951 years before 2026.

In other calendars

Hebrew
3835 / 3836 AM
Rosh Hashanah falls in September/October.
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
618 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
67 / 68 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-3 / -4 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
12
Digit product
35
Digital root
3
Palindrome
No
Bit width
7 bits
Reversed
57
Recamán's sequence
a(77) = 75
Square (n²)
5,625
Cube (n³)
421,875
Divisor count
6
σ(n) — sum of divisors
124
φ(n) — Euler's totient
40
Sum of prime factors
13

Primality

Prime factorization: 3 × 5 2

Nearest primes: 73 (−2) · 79 (+4)

Divisors & multiples

All divisors (6)
1 · 3 · 5 · 15 · 25 · 75
Aliquot sum (sum of proper divisors): 49
Factor pairs (a × b = 75)
1 × 75
3 × 25
5 × 15
First multiples
75 · 150 (double) · 225 · 300 · 375 · 450 · 525 · 600 · 675 · 750

Sums & aliquot sequence

As consecutive integers: 37 + 38 24 + 25 + 26 13 + 14 + 15 + 16 + 17 10 + 11 + 12 + 13 + 14 + 15
Aliquot sequence: 75 49 8 7 1 0 — terminates at zero

Continued fraction of √n

√75 = [8; (1, 1, 1, 16)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
seventy-five
Ordinal
75th
Roman numeral
LXXV
Binary
1001011
Octal
113
Hexadecimal
0x4B
Base64
Sw==
One's complement
180 (8-bit)
Scientific notation
7.5 × 10¹
As a duration
75 s = 1 minute, 15 seconds
In other bases
ternary (3) 2210
quaternary (4) 1023
quinary (5) 300
senary (6) 203
septenary (7) 135
nonary (9) 83
undecimal (11) 69
duodecimal (12) 63
tridecimal (13) 5a
tetradecimal (14) 55
pentadecimal (15) 50

As an angle

75°
75° ≈ 1.309 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
οεʹ
Mayan (base 20)
𝋣·𝋯
Chinese
七十五
Chinese (financial)
柒拾伍
In other modern scripts
Eastern Arabic ٧٥ Devanagari ७५ Bengali ৭৫ Tamil ௭௫ Thai ๗๕ Tibetan ༧༥ Khmer ៧៥ Lao ໗໕ Burmese ၇၅

Digit at this position in famous constants

π — Pi (π)
Digit 75 = 8
e — Euler's number (e)
Digit 75 = 5
φ — Golden ratio (φ)
Digit 75 = 1
√2 — Pythagoras's (√2)
Digit 75 = 6
ln 2 — Natural log of 2
Digit 75 = 6
γ — Euler-Mascheroni (γ)
Digit 75 = 7

Also seen as

ASCII character

As an ASCII codepoint, 75 is K. Printable ASCII character K.

Hex color
#00004B
RGB(0, 0, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.75.

Address
0.0.0.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.75

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

US numbered highway

Matches numbered highway designation:

  • I-75 — Hialeah, FL to Sault Ste. Marie, MI.
Musical pitch

Heard as a frequency, 75 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D2 (73.4 Hz, +37¢)
  • Scientific pitch (C4 = 256 Hz): D♯2 (76.1 Hz, -25¢)
  • Baroque pitch (A4 = 415 Hz): D♯2 (73.4 Hz, +38¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 75 is D♯5 (622.3 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 75 is Rhenium (Re) — period 6.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.