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105,362

105,362 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.).

105,362 (one hundred five thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 139 × 379. Written other ways, in hexadecimal, 0x19B92.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
263,501
Recamán's sequence
a(89,735) = 105,362
Square (n²)
11,101,151,044
Cube (n³)
1,169,639,476,297,928
Divisor count
8
σ(n) — sum of divisors
159,600
φ(n) — Euler's totient
52,164
Sum of prime factors
520

Primality

Prime factorization: 2 × 139 × 379

Nearest primes: 105,361 (−1) · 105,367 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 139 · 278 · 379 · 758 · 52681 (half) · 105362
Aliquot sum (sum of proper divisors): 54,238
Factor pairs (a × b = 105,362)
1 × 105362
2 × 52681
139 × 758
278 × 379
First multiples
105,362 · 210,724 (double) · 316,086 · 421,448 · 526,810 · 632,172 · 737,534 · 842,896 · 948,258 · 1,053,620

Sums & aliquot sequence

As consecutive integers: 26,339 + 26,340 + 26,341 + 26,342 689 + 690 + … + 827 89 + 90 + … + 467
Aliquot sequence: 105,362 54,238 28,994 23,806 11,906 5,956 4,474 2,240 3,856 3,646 1,826 1,198 602 454 230 202 104 — unresolved within range

Continued fraction of √n

√105,362 = [324; (1, 1, 2, 7, 1, 4, 2, 15, 2, 1, 1, 1, 2, 3, 1, 1, 37, 1, 1, 1, 1, 1, 8, 3, …)]

Representations

In words
one hundred five thousand three hundred sixty-two
Ordinal
105362nd
Binary
11001101110010010
Octal
315622
Hexadecimal
0x19B92
Base64
AZuS
One's complement
4,294,861,933 (32-bit)
Scientific notation
1.05362 × 10⁵
As a duration
105,362 s = 1 day, 5 hours, 16 minutes, 2 seconds
In other bases
ternary (3) 12100112022
quaternary (4) 121232102
quinary (5) 11332422
senary (6) 2131442
septenary (7) 616115
nonary (9) 170468
undecimal (11) 72184
duodecimal (12) 50b82
tridecimal (13) 38c5a
tetradecimal (14) 2a57c
pentadecimal (15) 21342

As an angle

105,362° = 292 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρετξβʹ
Mayan (base 20)
𝋭·𝋣·𝋨·𝋢
Chinese
一十萬五千三百六十二
Chinese (financial)
壹拾萬伍仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٠٥٣٦٢ Devanagari १०५३६२ Bengali ১০৫৩৬২ Tamil ௧௦௫௩௬௨ Thai ๑๐๕๓๖๒ Tibetan ༡༠༥༣༦༢ Khmer ១០៥៣៦២ Lao ໑໐໕໓໖໒ Burmese ၁၀၅၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105362, here are decompositions:

  • 3 + 105359 = 105362
  • 31 + 105331 = 105362
  • 43 + 105319 = 105362
  • 109 + 105253 = 105362
  • 151 + 105211 = 105362
  • 163 + 105199 = 105362
  • 331 + 105031 = 105362
  • 409 + 104953 = 105362

Showing the first eight; more decompositions exist.

Hex color
#019B92
RGB(1, 155, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.146.

Address
0.1.155.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.155.146

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 105,362 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 105362 first appears in π at position 872,984 of the decimal expansion (the 872,984ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.