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107,148

107,148 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.).

107,148 (one hundred seven thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 8,929. Its proper divisors sum to 142,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A28C.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
841,701
Recamán's sequence
a(82,351) = 107,148
Square (n²)
11,480,693,904
Cube (n³)
1,230,133,390,425,792
Divisor count
12
σ(n) — sum of divisors
250,040
φ(n) — Euler's totient
35,712
Sum of prime factors
8,936

Primality

Prime factorization: 2 2 × 3 × 8929

Nearest primes: 107,137 (−11) · 107,171 (+23)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 8929 · 17858 · 26787 · 35716 · 53574 (half) · 107148
Aliquot sum (sum of proper divisors): 142,892
Factor pairs (a × b = 107,148)
1 × 107148
2 × 53574
3 × 35716
4 × 26787
6 × 17858
12 × 8929
First multiples
107,148 · 214,296 (double) · 321,444 · 428,592 · 535,740 · 642,888 · 750,036 · 857,184 · 964,332 · 1,071,480

Sums & aliquot sequence

As consecutive integers: 35,715 + 35,716 + 35,717 13,390 + 13,391 + … + 13,397 4,453 + 4,454 + … + 4,476
Aliquot sequence: 107,148 → 142,892 → 109,948 → 82,468 → 64,952 → 62,488 → 57,392 → 60,904 → 58,616 → 58,024 → 50,786 → 26,734 → 13,370 → 14,278 → 9,662 → 4,834 → 2,420 — unresolved within range

Continued fraction of √n

√107,148 = [327; (2, 1, 81, 5, 1, 162, 1, 5, 81, 1, 2, 654)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand one hundred forty-eight
Ordinal
107148th
Binary
11010001010001100
Octal
321214
Hexadecimal
0x1A28C
Base64
AaKM
One's complement
4,294,860,147 (32-bit)
Scientific notation
1.07148 × 10⁵
As a duration
107,148 s = 1 day, 5 hours, 45 minutes, 48 seconds
In other bases
ternary (3) 12102222110
quaternary (4) 122022030
quinary (5) 11412043
senary (6) 2144020
septenary (7) 624246
nonary (9) 172873
undecimal (11) 73558
duodecimal (12) 52010
tridecimal (13) 39a02
tetradecimal (14) 2b096
pentadecimal (15) 21b33

As an angle

107,148° = 297 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρμηʹ
Mayan (base 20)
𝋭·𝋧·𝋱·𝋨
Chinese
十萬七千一百四十八
Chinese (financial)
壹拾萬柒仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٧١٤٨ Devanagari १०७१४८ Bengali ১০৭১৪৮ Tamil ௧௦௭௧௪௮ Thai ๑๐๗๑๔๘ Tibetan ༡༠༧༡༤༨ Khmer ១០៧១៤៨ Lao ໑໐໗໑໔໘ Burmese ၁၀၇၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107148, here are decompositions:

  • 11 + 107137 = 107148
  • 29 + 107119 = 107148
  • 47 + 107101 = 107148
  • 59 + 107089 = 107148
  • 71 + 107077 = 107148
  • 79 + 107069 = 107148
  • 127 + 107021 = 107148
  • 191 + 106957 = 107148

Showing the first eight; more decompositions exist.

Hex color
#01A28C
RGB(1, 162, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.140.

Address
0.1.162.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.140

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 107,148 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°.