number.wiki
Live analysis

109,721

109,721 is a prime, odd.

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.).

109,721 (one hundred nine thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1AC99.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
127,901
Recamán's sequence
a(249,854) = 109,721
Square (n²)
12,038,697,841
Cube (n³)
1,320,897,965,812,361
Divisor count
2
σ(n) — sum of divisors
109,722
φ(n) — Euler's totient
109,720

Primality

109,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 109721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 109,721)
1 × 109721
First multiples
109,721 · 219,442 (double) · 329,163 · 438,884 · 548,605 · 658,326 · 768,047 · 877,768 · 987,489 · 1,097,210

Sums & aliquot sequence

As a sum of two squares: 64² + 325²
As consecutive integers: 54,860 + 54,861

Continued fraction of √n

√109,721 = [331; (4, 7, 5, 6, 5, 1, 2, 2, 1, 7, 3, 1, 1, 3, 82, 1, 1, 7, 1, 3, 1, 1, 50, 2, …)]

Representations

In words
one hundred nine thousand seven hundred twenty-one
Ordinal
109721st
Binary
11010110010011001
Octal
326231
Hexadecimal
0x1AC99
Base64
AayZ
One's complement
4,294,857,574 (32-bit)
Scientific notation
1.09721 × 10⁵
As a duration
109,721 s = 1 day, 6 hours, 28 minutes, 41 seconds
In other bases
ternary (3) 12120111202
quaternary (4) 122302121
quinary (5) 12002341
senary (6) 2203545
septenary (7) 634613
nonary (9) 176452
undecimal (11) 75487
duodecimal (12) 535b5
tridecimal (13) 3ac31
tetradecimal (14) 2bdb3
pentadecimal (15) 2279b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρθψκαʹ
Mayan (base 20)
𝋭·𝋮·𝋦·𝋡
Chinese
一十萬九千七百二十一
Chinese (financial)
壹拾萬玖仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٩٧٢١ Devanagari १०९७२१ Bengali ১০৯৭২১ Tamil ௧௦௯௭௨௧ Thai ๑๐๙๗๒๑ Tibetan ༡༠༩༧༢༡ Khmer ១០៩៧២១ Lao ໑໐໙໗໒໑ Burmese ၁၀၉၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 109717.

Hex color
#01AC99
RGB(1, 172, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.153.

Address
0.1.172.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.172.153

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 109,721 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 109721 first appears in π at position 501,063 of the decimal expansion (the 501,063ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.