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107,334

107,334 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.).

107,334 (one hundred seven thousand three hundred thirty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 67 × 89. Its proper divisors sum to 131,346, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A346.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
433,701
Recamán's sequence
a(82,723) = 107,334
Square (n²)
11,520,587,556
Cube (n³)
1,236,550,744,735,704
Divisor count
24
σ(n) — sum of divisors
238,680
φ(n) — Euler's totient
34,848
Sum of prime factors
164

Primality

Prime factorization: 2 × 3 2 × 67 × 89

Nearest primes: 107,323 (−11) · 107,339 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 67 · 89 · 134 · 178 · 201 · 267 · 402 · 534 · 603 · 801 · 1206 · 1602 · 5963 · 11926 · 17889 · 35778 · 53667 (half) · 107334
Aliquot sum (sum of proper divisors): 131,346
Factor pairs (a × b = 107,334)
1 × 107334
2 × 53667
3 × 35778
6 × 17889
9 × 11926
18 × 5963
67 × 1602
89 × 1206
134 × 801
178 × 603
201 × 534
267 × 402
First multiples
107,334 · 214,668 (double) · 322,002 · 429,336 · 536,670 · 644,004 · 751,338 · 858,672 · 966,006 · 1,073,340

Sums & aliquot sequence

As consecutive integers: 35,777 + 35,778 + 35,779 26,832 + 26,833 + 26,834 + 26,835 11,922 + 11,923 + … + 11,930 8,939 + 8,940 + … + 8,950
Aliquot sequence: 107,334 → 131,346 → 153,276 → 212,628 → 351,852 → 479,748 → 639,692 → 544,456 → 621,944 → 544,216 → 494,384 → 570,652 → 434,828 → 326,128 → 410,432 → 501,682 → 250,844 — unresolved within range

Continued fraction of √n

√107,334 = [327; (1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 3, 1, 1, 64, 1, 25, 4, 2, 4, 2, 4, 25, 1, 64, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand three hundred thirty-four
Ordinal
107334th
Binary
11010001101000110
Octal
321506
Hexadecimal
0x1A346
Base64
AaNG
One's complement
4,294,859,961 (32-bit)
Scientific notation
1.07334 × 10⁵
As a duration
107,334 s = 1 day, 5 hours, 48 minutes, 54 seconds
In other bases
ternary (3) 12110020100
quaternary (4) 122031012
quinary (5) 11413314
senary (6) 2144530
septenary (7) 624633
nonary (9) 173210
undecimal (11) 73707
duodecimal (12) 52146
tridecimal (13) 39b16
tetradecimal (14) 2b18a
pentadecimal (15) 21c09

As an angle

107,334° = 298 × 360° + 54°
54° ≈ 0.942 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζτλδʹ
Mayan (base 20)
𝋭·𝋨·𝋦·𝋮
Chinese
十萬七千三百三十四
Chinese (financial)
壹拾萬柒仟參佰參拾肆
In other modern scripts
Eastern Arabic ١٠٧٣٣٤ Devanagari १०७३३४ Bengali ১০৭৩৩৪ Tamil ௧௦௭௩௩௪ Thai ๑๐๗๓๓๔ Tibetan ༡༠༧༣༣༤ Khmer ១០៧៣៣៤ Lao ໑໐໗໓໓໔ Burmese ၁၀၇၃၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107334, here are decompositions:

  • 11 + 107323 = 107334
  • 61 + 107273 = 107334
  • 83 + 107251 = 107334
  • 107 + 107227 = 107334
  • 137 + 107197 = 107334
  • 151 + 107183 = 107334
  • 163 + 107171 = 107334
  • 197 + 107137 = 107334

Showing the first eight; more decompositions exist.

Hex color
#01A346
RGB(1, 163, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.70.

Address
0.1.163.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.70

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 107,334 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

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