number.wiki
Live analysis

109,764

109,764 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.).

109,764 (one hundred nine thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,049. Its proper divisors sum to 167,786, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ACC4.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
467,901
Recamán's sequence
a(249,768) = 109,764
Square (n²)
12,048,135,696
Cube (n³)
1,322,451,566,535,744
Divisor count
18
σ(n) — sum of divisors
277,550
φ(n) — Euler's totient
36,576
Sum of prime factors
3,059

Primality

Prime factorization: 2 2 × 3 2 × 3049

Nearest primes: 109,751 (−13) · 109,789 (+25)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3049 · 6098 · 9147 · 12196 · 18294 · 27441 · 36588 · 54882 (half) · 109764
Aliquot sum (sum of proper divisors): 167,786
Factor pairs (a × b = 109,764)
1 × 109764
2 × 54882
3 × 36588
4 × 27441
6 × 18294
9 × 12196
12 × 9147
18 × 6098
36 × 3049
First multiples
109,764 · 219,528 (double) · 329,292 · 439,056 · 548,820 · 658,584 · 768,348 · 878,112 · 987,876 · 1,097,640

Sums & aliquot sequence

As a sum of two squares: 192² + 270²
As consecutive integers: 36,587 + 36,588 + 36,589 13,717 + 13,718 + … + 13,724 12,192 + 12,193 + … + 12,200 4,562 + 4,563 + … + 4,585
Aliquot sequence: 109,764 167,786 89,878 44,942 25,474 13,694 7,474 4,154 2,374 1,190 1,402 704 820 944 916 694 350 — unresolved within range

Continued fraction of √n

√109,764 = [331; (3, 3, 1, 4, 4, 1, 2, 3, 6, 1, 2, 10, 1, 1, 18, 2, 2, 4, 5, 1, 27, 1, 32, 6, …)]

Representations

In words
one hundred nine thousand seven hundred sixty-four
Ordinal
109764th
Binary
11010110011000100
Octal
326304
Hexadecimal
0x1ACC4
Base64
AazE
One's complement
4,294,857,531 (32-bit)
Scientific notation
1.09764 × 10⁵
As a duration
109,764 s = 1 day, 6 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 12120120100
quaternary (4) 122303010
quinary (5) 12003024
senary (6) 2204100
septenary (7) 635004
nonary (9) 176510
undecimal (11) 75516
duodecimal (12) 53630
tridecimal (13) 3ac65
tetradecimal (14) 2c004
pentadecimal (15) 227c9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρθψξδʹ
Mayan (base 20)
𝋭·𝋮·𝋨·𝋤
Chinese
一十萬九千七百六十四
Chinese (financial)
壹拾萬玖仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٩٧٦٤ Devanagari १०९७६४ Bengali ১০৯৭৬৪ Tamil ௧௦௯௭௬௪ Thai ๑๐๙๗๖๔ Tibetan ༡༠༩༧༦༤ Khmer ១០៩៧៦៤ Lao ໑໐໙໗໖໔ Burmese ၁၀၉၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109764, here are decompositions:

  • 13 + 109751 = 109764
  • 23 + 109741 = 109764
  • 43 + 109721 = 109764
  • 47 + 109717 = 109764
  • 101 + 109663 = 109764
  • 103 + 109661 = 109764
  • 167 + 109597 = 109764
  • 181 + 109583 = 109764

Showing the first eight; more decompositions exist.

Hex color
#01ACC4
RGB(1, 172, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.196.

Address
0.1.172.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.172.196

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 109,764 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 109764 first appears in π at position 240,631 of the decimal expansion (the 240,631ordinal-suffix:st 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.