Number

125

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

125 (one hundred twenty-five) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 5³. It is a perfect cube (5³). Written other ways, in Roman numerals it is CXXV and in binary, 1111101.

Arithmetic Number Ascending Digits Deficient Number Evil Number Frugal Number Perfect Cube Powerful Number Recamán's Sequence Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137

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Historical context — 125 AD

Calendar year

Year 125 (CXXV) 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 — 125 BC

Calendar year

Year 125 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: Monday
January 1, 125
Ended on: Monday
December 31, 125
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 120s
120–129
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,901
1901 years before 2026.

In other calendars

Hebrew: 3885 / 3886 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Ox
Sexagenary cycle position 2 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 668 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 117 / 118 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 47 / 46 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 8
Digit product: 10
Digital root: 8
Palindrome: No
Bit width: 7 bits
Reversed: 521
Recamán's sequence: a(150) = 125
Square (n²): 15,625
Cube (n³): 1,953,125
Cube root (∛n): 5
Divisor count: 4
σ(n) — sum of divisors: 156
φ(n) — Euler's totient: 100
Sum of prime factors: 15

Primality

Prime factorization: 5 ³

Nearest primes: 113 (−12) · 127 (+2)

Divisors & multiples

All divisors (4)

1 · 5 · 25 · 125

Aliquot sum (sum of proper divisors): 31

Factor pairs (a × b = 125)

1 × 125

5 × 25

First multiples

125 · 250 (double) · 375 · 500 · 625 · 750 · 875 · 1,000 · 1,125 · 1,250

Sums & aliquot sequence

As a sum of two squares: 2² + 11² = 5² + 10²

As consecutive integers: 62 + 63 23 + 24 + 25 + 26 + 27 8 + 9 + … + 17

Aliquot sequence: 125 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√125 = [11; (5, 1, 1, 5, 22)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-five
Ordinal: 125th
Roman numeral: CXXV
Binary: 1111101
Octal: 175
Hexadecimal: 0x7D
Base64: fQ==
One's complement: 130 (8-bit)
Scientific notation: 1.25 × 10²
As a duration: 125 s = 2 minutes, 5 seconds

In other bases

ternary (3) 11122

quaternary (4) 1331

quinary (5) 1000

senary (6) 325

septenary (7) 236

nonary (9) 148

undecimal (11) 104

duodecimal (12) a5

tridecimal (13) 98

tetradecimal (14) 8d

pentadecimal (15) 85

Palindromic in base 4

As an angle

125°

125° ≈ 2.182 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρκεʹ
Mayan (base 20): 𝋦·𝋥
Chinese: 一百二十五
Chinese (financial): 壹佰貳拾伍

In other modern scripts

Eastern Arabic ١٢٥ Devanagari १२५ Bengali ১২৫ Tamil ௧௨௫ Thai ๑๒๕ Tibetan ༡༢༥ Khmer ១២៥ Lao ໑໒໕ Burmese ၁၂၅

Digit at this position in famous constants

π — Pi (π): Digit 125 = 8
e — Euler's number (e): Digit 125 = 4
φ — Golden ratio (φ): Digit 125 = 6
√2 — Pythagoras's (√2): Digit 125 = 8
ln 2 — Natural log of 2: Digit 125 = 5
γ — Euler-Mascheroni (γ): Digit 125 = 5

Also seen as

ASCII character

As an ASCII codepoint, 125 is }. Printable ASCII character }.

Hex color

#00007D

RGB(0, 0, 125)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.125.

Address: 0.0.0.125
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.125

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

Musical pitch

Heard as a frequency, 125 Hz is closest to:

Concert pitch (A4 = 440 Hz): B2 (123.5 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): C3 (128 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): C3 (123.4 Hz, +23¢)

As a MIDI note number, 125 is F9 (11175.3 Hz at concert pitch).