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Live analysis

106,321

106,321 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.).
Deficient Number Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
123,601
Recamán's sequence
a(88,353) = 106,321
Square (n²)
11,304,155,041
Cube (n³)
1,201,869,068,114,161
Divisor count
2
σ(n) — sum of divisors
106,322

Primality

106,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,321)
1 × 106321
First multiples
106,321 · 212,642 (double) · 318,963 · 425,284 · 531,605 · 637,926 · 744,247 · 850,568 · 956,889 · 1,063,210

Representations

In words
one hundred six thousand three hundred twenty-one
Ordinal
106321st
Binary
11001111101010001
Octal
317521
Hexadecimal
0x19F51
Base64
AZ9R
One's complement
4,294,860,974 (32-bit)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρϛτκαʹ
Mayan (base 20)
𝋭·𝋥·𝋰·𝋡
Chinese
一十萬六千三百二十一
Chinese (financial)
壹拾萬陸仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٦٣٢١ Devanagari १०६३२१ Bengali ১০৬৩২১ Tamil ௧௦௬௩௨௧ Thai ๑๐๖๓๒๑ Tibetan ༡༠༦༣༢༡ Khmer ១០៦៣២១ Lao ໑໐໖໓໒໑ Burmese ၁၀၆၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 106319.

Hex color
#019F51
RGB(1, 159, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.81.

Address
0.1.159.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.81

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 106,321 and was likely granted around 1870.

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

Position in π

The digit sequence 106321 first appears in π at position 81,813 of the decimal expansion (the 81,813ordinal-suffix:th 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.