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107,346

107,346 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.).

107,346 (one hundred seven thousand three hundred forty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17,891. Its proper divisors sum to 107,358, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A352.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
643,701
Recamán's sequence
a(82,747) = 107,346
Square (n²)
11,523,163,716
Cube (n³)
1,236,965,532,257,736
Divisor count
8
σ(n) — sum of divisors
214,704
φ(n) — Euler's totient
35,780
Sum of prime factors
17,896

Primality

Prime factorization: 2 × 3 × 17891

Nearest primes: 107,339 (−7) · 107,347 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 17891 · 35782 · 53673 (half) · 107346
Aliquot sum (sum of proper divisors): 107,358
Factor pairs (a × b = 107,346)
1 × 107346
2 × 53673
3 × 35782
6 × 17891
First multiples
107,346 · 214,692 (double) · 322,038 · 429,384 · 536,730 · 644,076 · 751,422 · 858,768 · 966,114 · 1,073,460

Sums & aliquot sequence

As consecutive integers: 35,781 + 35,782 + 35,783 26,835 + 26,836 + 26,837 + 26,838 8,940 + 8,941 + … + 8,951
Aliquot sequence: 107,346 → 107,358 → 115,122 → 148,110 → 207,426 → 211,902 → 211,914 → 257,178 → 257,190 → 360,138 → 366,198 → 470,922 → 470,934 → 709,506 → 1,093,374 → 1,527,426 → 1,782,036 — unresolved within range

Continued fraction of √n

√107,346 = [327; (1, 1, 1, 3, 12, 1, 4, 1, 45, 1, 37, 1, 1, 3, 4, 4, 1, 12, 1, 1, 3, 2, 2, 7, …)]

Representations

In words
one hundred seven thousand three hundred forty-six
Ordinal
107346th
Binary
11010001101010010
Octal
321522
Hexadecimal
0x1A352
Base64
AaNS
One's complement
4,294,859,949 (32-bit)
Scientific notation
1.07346 × 10⁵
As a duration
107,346 s = 1 day, 5 hours, 49 minutes, 6 seconds
In other bases
ternary (3) 12110020210
quaternary (4) 122031102
quinary (5) 11413341
senary (6) 2144550
septenary (7) 624651
nonary (9) 173223
undecimal (11) 73718
duodecimal (12) 52156
tridecimal (13) 39b25
tetradecimal (14) 2b198
pentadecimal (15) 21c16

As an angle

107,346° = 298 × 360° + 66°
66° ≈ 1.152 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζτμϛʹ
Mayan (base 20)
𝋭·𝋨·𝋧·𝋦
Chinese
十萬七千三百四十六
Chinese (financial)
壹拾萬柒仟參佰肆拾陸
In other modern scripts
Eastern Arabic ١٠٧٣٤٦ Devanagari १०७३४६ Bengali ১০৭৩৪৬ Tamil ௧௦௭௩௪௬ Thai ๑๐๗๓๔๖ Tibetan ༡༠༧༣༤༦ Khmer ១០៧៣៤៦ Lao ໑໐໗໓໔໖ Burmese ၁၀၇၃၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107346, here are decompositions:

  • 7 + 107339 = 107346
  • 23 + 107323 = 107346
  • 37 + 107309 = 107346
  • 67 + 107279 = 107346
  • 73 + 107273 = 107346
  • 103 + 107243 = 107346
  • 137 + 107209 = 107346
  • 149 + 107197 = 107346

Showing the first eight; more decompositions exist.

Hex color
#01A352
RGB(1, 163, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.82.

Address
0.1.163.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.82

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 107,346 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 107346 first appears in π at position 144,554 of the decimal expansion (the 144,554ordinal-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

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