Number

153

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

Arithmetic Number Deficient Number Evil Number Harshad / Niven Hexagonal Narcissistic / Armstrong Recamán's Sequence Triangular Year

Historical context — 153 AD

Calendar year

Year 153 (CLIII) was a common year starting on Sunday of the Julian calendar.

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Historical context — 153 BC

Calendar year

Year 153 BC was a year of the pre-Julian Roman calendar.

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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, 153
Ended on: Monday
December 31, 153
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 150s
150–159
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,873
1873 years before 2026.

In other calendars

Hebrew: 3913 / 3914 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 696 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 145 / 146 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 75 / 74 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 9
Digit product: 15
Digital root: 9
Palindrome: No
Bit width: 8 bits
Reversed: 351
Recamán's sequence: a(74) = 153
Square (n²): 23,409
Cube (n³): 3,581,577
Divisor count: 6
σ(n) — sum of divisors: 234
φ(n) — Euler's totient: 96
Sum of prime factors: 23

Primality

Prime factorization: 3 ² × 17

Nearest primes: 151 (−2) · 157 (+4)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 17 · 51 · 153

Aliquot sum (sum of proper divisors): 81

Factor pairs (a × b = 153)

1 × 153

3 × 51

9 × 17

First multiples

153 · 306 (double) · 459 · 612 · 765 · 918 · 1,071 · 1,224 · 1,377 · 1,530

Sums & aliquot sequence

As a sum of two squares: 3² + 12²

As consecutive integers: 76 + 77 50 + 51 + 52 23 + 24 + 25 + 26 + 27 + 28 13 + 14 + … + 21

Aliquot sequence: 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: one hundred fifty-three
Ordinal: 153rd
Roman numeral: CLIII
Binary: 10011001
Octal: 231
Hexadecimal: 0x99
Base64: mQ==
One's complement: 102 (8-bit)

In other bases

ternary (3) 12200

quaternary (4) 2121

quinary (5) 1103

senary (6) 413

septenary (7) 306

nonary (9) 180

undecimal (11) 12a

duodecimal (12) 109

tridecimal (13) ba

tetradecimal (14) ad

pentadecimal (15) a3

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ρνγʹ
Mayan (base 20): 𝋧·𝋭
Chinese: 一百五十三
Chinese (financial): 壹佰伍拾參

In other modern scripts

Eastern Arabic ١٥٣ Devanagari १५३ Bengali ১৫৩ Tamil ௧௫௩ Thai ๑๕๓ Tibetan ༡༥༣ Khmer ១៥៣ Lao ໑໕໓ Burmese ၁၅၃

Digit at this position in famous constants

π — Pi (π): Digit 153 = 8
e — Euler's number (e): Digit 153 = 9
φ — Golden ratio (φ): Digit 153 = 2
√2 — Pythagoras's (√2): Digit 153 = 3
ln 2 — Natural log of 2: Digit 153 = 7
γ — Euler-Mascheroni (γ): Digit 153 = 2

Also seen as

Unicode codepoint

U+0099

Control character (Cc)

UTF-8 encoding: C2 99 (2 bytes).

Lookup U+0099 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000099

RGB(0, 0, 153)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.153.

Address: 0.0.0.153
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.153

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