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106,316

106,316 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.).

106,316 (one hundred six thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 3,797. Its proper divisors sum to 106,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19F4C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
613,601
Recamán's sequence
a(88,363) = 106,316
Square (n²)
11,303,091,856
Cube (n³)
1,201,699,513,762,496
Divisor count
12
σ(n) — sum of divisors
212,688
φ(n) — Euler's totient
45,552
Sum of prime factors
3,808

Primality

Prime factorization: 2 2 × 7 × 3797

Nearest primes: 106,307 (−9) · 106,319 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 3797 · 7594 · 15188 · 26579 · 53158 (half) · 106316
Aliquot sum (sum of proper divisors): 106,372
Factor pairs (a × b = 106,316)
1 × 106316
2 × 53158
4 × 26579
7 × 15188
14 × 7594
28 × 3797
First multiples
106,316 · 212,632 (double) · 318,948 · 425,264 · 531,580 · 637,896 · 744,212 · 850,528 · 956,844 · 1,063,160

Sums & aliquot sequence

As consecutive integers: 15,185 + 15,186 + … + 15,191 13,286 + 13,287 + … + 13,293 1,871 + 1,872 + … + 1,926
Aliquot sequence: 106,316 → 106,372 → 115,388 → 133,924 → 133,980 → 349,860 → 859,740 → 2,043,300 → 4,883,340 → 12,583,284 → 21,554,316 → 43,466,724 → 87,681,384 → 198,418,716 → 320,170,628 → 240,127,978 → 123,913,238 — unresolved within range

Continued fraction of √n

√106,316 = [326; (16, 3, 3, 6, 4, 1, 1, 7, 8, 2, 4, 3, 11, 1, 1, 4, 1, 6, 1, 1, 2, 4, 2, 1, …)]

Representations

In words
one hundred six thousand three hundred sixteen
Ordinal
106316th
Binary
11001111101001100
Octal
317514
Hexadecimal
0x19F4C
Base64
AZ9M
One's complement
4,294,860,979 (32-bit)
Scientific notation
1.06316 × 10⁵
As a duration
106,316 s = 1 day, 5 hours, 31 minutes, 56 seconds
In other bases
ternary (3) 12101211122
quaternary (4) 121331030
quinary (5) 11400231
senary (6) 2140112
septenary (7) 621650
nonary (9) 171748
undecimal (11) 72971
duodecimal (12) 51638
tridecimal (13) 39512
tetradecimal (14) 2aa60
pentadecimal (15) 2177b

As an angle

106,316° = 295 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛτιϛʹ
Mayan (base 20)
𝋭·𝋥·𝋯·𝋰
Chinese
十萬六千三百一十六
Chinese (financial)
壹拾萬陸仟參佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٦٣١٦ Devanagari १०६३१६ Bengali ১০৬৩১৬ Tamil ௧௦௬௩௧௬ Thai ๑๐๖๓๑๖ Tibetan ༡༠༦༣༡༦ Khmer ១០៦៣១៦ Lao ໑໐໖໓໑໖ Burmese ၁၀၆၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106316, here are decompositions:

  • 13 + 106303 = 106316
  • 19 + 106297 = 106316
  • 37 + 106279 = 106316
  • 43 + 106273 = 106316
  • 73 + 106243 = 106316
  • 97 + 106219 = 106316
  • 103 + 106213 = 106316
  • 109 + 106207 = 106316

Showing the first eight; more decompositions exist.

Hex color
#019F4C
RGB(1, 159, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.76.

Address
0.1.159.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.76

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 106,316 and was likely granted around 1870.

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

Related reading

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