Number

174

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

174 (one hundred seventy-four) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 29. Its proper divisors sum to 186, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CLXXIV and in binary, 10101110.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186

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Historical context — 174 AD

Calendar year

Year 174 (CLXXIV) 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 — 174 BC

Calendar year

Year 174 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: Saturday
January 1, 174
Ended on: Saturday
December 31, 174
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 170s
170–179
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,852
1852 years before 2026.

In other calendars

Hebrew: 3934 / 3935 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 717 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 166 / 167 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 96 / 95 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 28
Digital root: 3
Palindrome: No
Bit width: 8 bits
Reversed: 471
Recamán's sequence: a(319) = 174
Square (n²): 30,276
Cube (n³): 5,268,024
Divisor count: 8
σ(n) — sum of divisors: 360
φ(n) — Euler's totient: 56
Sum of prime factors: 34

Primality

Prime factorization: 2 × 3 × 29

Nearest primes: 173 (−1) · 179 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 29 · 58 · 87 (half) · 174

Aliquot sum (sum of proper divisors): 186

Factor pairs (a × b = 174)

1 × 174

2 × 87

3 × 58

6 × 29

First multiples

174 · 348 (double) · 522 · 696 · 870 · 1,044 · 1,218 · 1,392 · 1,566 · 1,740

Sums & aliquot sequence

As consecutive integers: 57 + 58 + 59 42 + 43 + 44 + 45 9 + 10 + … + 20

Aliquot sequence: 174 → 186 → 198 → 270 → 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√174 = [13; (5, 4, 5, 26)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred seventy-four
Ordinal: 174th
Roman numeral: CLXXIV
Binary: 10101110
Octal: 256
Hexadecimal: 0xAE
Base64: rg==
One's complement: 81 (8-bit)
Scientific notation: 1.74 × 10²
As a duration: 174 s = 2 minutes, 54 seconds

In other bases

ternary (3) 20110

quaternary (4) 2232

quinary (5) 1144

senary (6) 450

septenary (7) 336

nonary (9) 213

undecimal (11) 149

duodecimal (12) 126

tridecimal (13) 105

tetradecimal (14) c6

pentadecimal (15) b9

As an angle

174°

174° ≈ 3.037 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ροδʹ
Mayan (base 20): 𝋨·𝋮
Chinese: 一百七十四
Chinese (financial): 壹佰柒拾肆

In other modern scripts

Eastern Arabic ١٧٤ Devanagari १७४ Bengali ১৭৪ Tamil ௧௭௪ Thai ๑๗๔ Tibetan ༡༧༤ Khmer ១៧៤ Lao ໑໗໔ Burmese ၁၇၄

Digit at this position in famous constants

π — Pi (π): Digit 174 = 2
e — Euler's number (e): Digit 174 = 9
φ — Golden ratio (φ): Digit 174 = 8
√2 — Pythagoras's (√2): Digit 174 = 9
ln 2 — Natural log of 2: Digit 174 = 3
γ — Euler-Mascheroni (γ): Digit 174 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 174, here are decompositions:

7 + 167 = 174
11 + 163 = 174
17 + 157 = 174
23 + 151 = 174
37 + 137 = 174
43 + 131 = 174
47 + 127 = 174
61 + 113 = 174

Showing the first eight; more decompositions exist.

Unicode codepoint

Registered Sign

U+00AE

Other symbol (So)

UTF-8 encoding: C2 AE (2 bytes).

Lookup U+00AE on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000AE

RGB(0, 0, 174)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.174.

Address: 0.0.0.174
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.174

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

Musical pitch

Heard as a frequency, 174 Hz is closest to:

Concert pitch (A4 = 440 Hz): F3 (174.6 Hz, -6¢)
Scientific pitch (C4 = 256 Hz): F3 (170.9 Hz, +32¢)
Baroque pitch (A4 = 415 Hz): F♯3 (174.5 Hz, -5¢)