Live analysis

26,000

26,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

26,000 (twenty-six thousand) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 13. Its proper divisors sum to 41,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x6590.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

25,988 25,989 25,990 25,991 25,992 25,993 25,994 25,995 25,996 25,997 25,998 25,999 26,000 26,001 26,002 26,003 26,004 26,005 26,006 26,007 26,008 26,009 26,010 26,011 26,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 15 bits
Reversed: 62
Recamán's sequence: a(164,791) = 26,000
Square (n²): 676,000,000
Cube (n³): 17,576,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 67,704
φ(n) — Euler's totient: 9,600
Sum of prime factors: 36

Primality

Prime factorization: 2 ⁴ × 5 ³ × 13

Nearest primes: 25,999 (−1) · 26,003 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 40 · 50 · 52 · 65 · 80 · 100 · 104 · 125 · 130 · 200 · 208 · 250 · 260 · 325 · 400 · 500 · 520 · 650 · 1000 · 1040 · 1300 · 1625 · 2000 · 2600 · 3250 · 5200 · 6500 · 13000 (half) · 26000

Aliquot sum (sum of proper divisors): 41,704

Factor pairs (a × b = 26,000)

1 × 26000

2 × 13000

4 × 6500

5 × 5200

8 × 3250

10 × 2600

13 × 2000

16 × 1625

20 × 1300

25 × 1040

26 × 1000

40 × 650

50 × 520

52 × 500

65 × 400

80 × 325

100 × 260

104 × 250

125 × 208

130 × 200

First multiples

26,000 · 52,000 (double) · 78,000 · 104,000 · 130,000 · 156,000 · 182,000 · 208,000 · 234,000 · 260,000

Sums & aliquot sequence

As a sum of two squares: 20² + 160² = 64² + 148² = 80² + 140² = 112² + 116²

As consecutive integers: 5,198 + 5,199 + 5,200 + 5,201 + 5,202 1,994 + 1,995 + … + 2,006 1,028 + 1,029 + … + 1,052 797 + 798 + … + 828

Aliquot sequence: 26,000 → 41,704 → 42,716 → 33,724 → 25,300 → 37,196 → 31,852 → 23,896 → 22,904 → 26,296 → 25,904 → 24,316 → 18,244 → 13,690 → 11,636 → 8,734 → 5,594 — unresolved within range

Continued fraction of √n

√26,000 = [161; (4, 12, 1, 1, 1, 5, 1, 12, 20, 12, 1, 5, 1, 1, 1, 12, 4, 322)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: twenty-six thousand
Ordinal: 26000th
Binary: 110010110010000
Octal: 62620
Hexadecimal: 0x6590
Base64: ZZA=
One's complement: 39,535 (16-bit)
Scientific notation: 2.6 × 10⁴
As a duration: 26,000 s = 7 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1022122222

quaternary (4) 12112100

quinary (5) 1313000

senary (6) 320212

septenary (7) 135542

nonary (9) 38588

undecimal (11) 18597

duodecimal (12) 13068

tridecimal (13) bab0

tetradecimal (14) 9692

pentadecimal (15) 7a85

As an angle

26,000° = 72 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵κϛ
Mayan (base 20): 𝋣·𝋥·𝋠·𝋠
Chinese: 二萬六千
Chinese (financial): 貳萬陸仟

In other modern scripts

Eastern Arabic ٢٦٠٠٠ Devanagari २६००० Bengali ২৬০০০ Tamil ௨௬௦௦௦ Thai ๒๖๐๐๐ Tibetan ༢༦༠༠༠ Khmer ២៦០០០ Lao ໒໖໐໐໐ Burmese ၂၆၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 26,000 = 7
e — Euler's number (e): Digit 26,000 = 6
φ — Golden ratio (φ): Digit 26,000 = 3
√2 — Pythagoras's (√2): Digit 26,000 = 9
ln 2 — Natural log of 2: Digit 26,000 = 9
γ — Euler-Mascheroni (γ): Digit 26,000 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 26000, here are decompositions:

3 + 25997 = 26000
19 + 25981 = 26000
31 + 25969 = 26000
61 + 25939 = 26000
67 + 25933 = 26000
97 + 25903 = 26000
127 + 25873 = 26000
151 + 25849 = 26000

Showing the first eight; more decompositions exist.

Unicode codepoint

斐

CJK Unified Ideograph-6590

U+6590

Other letter (Lo)

UTF-8 encoding: E6 96 90 (3 bytes).

Lookup U+6590 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#006590

RGB(0, 101, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.101.144.

Address: 0.0.101.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.101.144

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

Position in π

The digit sequence 26000 first appears in π at position 119,303 of the decimal expansion (the 119,303ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 26000 on Pi Search ↗