number.wiki
Number

26

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

Cake Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 26 AD

Calendar year

AD 26 (XXVI) was a common year starting on Tuesday of the Julian calendar, the 26th Year of the Anno Domini (AD) designation, the 26th year of the 1st millennium, the 26th year of the 1st century, and the 6th year of the 3rd decade.

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

Historical context — 26 BC

Calendar year

Year 26 BC was either a common year starting on Tuesday or Wednesday or a leap year starting on Monday, Tuesday or Wednesday of the Julian calendar and a common year starting on Monday of the Proleptic Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 26
Ended on
Thursday
December 31, 26
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
20s
20–29
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
2,000
2000 years before 2026.

In other calendars

Hebrew
3786 / 3787 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
569 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
18 / 19 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-52 / -53 Saka
Indian national calendar; year starts in March.

Cultural significance

Jewish sacred

Gematria value of יהוה (YHWH) — the Tetragrammaton, name of God.

10 + 5 + 6 + 5 = 26.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity
Even
Digit count
2
Digit sum
8
Digit product
12
Digital root
8
Palindrome
No
Bit width
5 bits
Reversed
62
Recamán's sequence
a(64) = 26
Square (n²)
676
Cube (n³)
17,576
Divisor count
4
σ(n) — sum of divisors
42
φ(n) — Euler's totient
12
Sum of prime factors
15

Primality

Prime factorization: 2 × 13

Nearest primes: 23 (−3) · 29 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 13 (half) · 26
Aliquot sum (sum of proper divisors): 16
Factor pairs (a × b = 26)
1 × 26
2 × 13
First multiples
26 · 52 (double) · 78 · 104 · 130 · 156 · 182 · 208 · 234 · 260

Sums & aliquot sequence

As a sum of two squares: 1² + 5²
As consecutive integers: 5 + 6 + 7 + 8
Aliquot sequence: 26 16 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√26 = [5; (10)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
twenty-six
Ordinal
26th
Roman numeral
XXVI
Binary
11010
Octal
32
Hexadecimal
0x1A
Base64
Gg==
One's complement
229 (8-bit)
Scientific notation
2.6 × 10¹
In other bases
ternary (3) 222
quaternary (4) 122
quinary (5) 101
senary (6) 42
septenary (7) 35
nonary (9) 28
undecimal (11) 24
duodecimal (12) 22
tridecimal (13) 20
tetradecimal (14) 1c
pentadecimal (15) 1b
Palindromic in base 3, base 5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
κϛʹ
Mayan (base 20)
𝋡·𝋦
Chinese
二十六
Chinese (financial)
貳拾陸
In other modern scripts
Eastern Arabic ٢٦ Devanagari २६ Bengali ২৬ Tamil ௨௬ Thai ๒๖ Tibetan ༢༦ Khmer ២៦ Lao ໒໖ Burmese ၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 26 = 3
e — Euler's number (e)
Digit 26 = 4
φ — Golden ratio (φ)
Digit 26 = 8
√2 — Pythagoras's (√2)
Digit 26 = 7
ln 2 — Natural log of 2
Digit 26 = 1
γ — Euler-Mascheroni (γ)
Digit 26 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 26, here are decompositions:

  • 3 + 23 = 26
  • 7 + 19 = 26
  • 13 + 13 = 26
ASCII character

As an ASCII codepoint, 26 is control character (0x1A). ASCII control character.

Hex color
#00001A
RGB(0, 0, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.26.

Address
0.0.0.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.26

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

US numbered highway

Matches numbered highway designation:

  • I-26 — Kingsport, TN to Charleston, SC.
Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000026
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Musical pitch

Heard as a frequency, 26 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯0 (+3¢)
  • Scientific pitch (C4 = 256 Hz): G♯0 (+41¢)
Atomic number

On the periodic table, atomic number 26 is Iron (Fe) — period 4.