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107,848

107,848 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.).

107,848 (one hundred seven thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 17 × 61. Its proper divisors sum to 126,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A548.

Abundant Number Heptagonal Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
848,701
Square (n²)
11,631,191,104
Cube (n³)
1,254,400,698,184,192
Divisor count
32
σ(n) — sum of divisors
234,360
φ(n) — Euler's totient
46,080
Sum of prime factors
97

Primality

Prime factorization: 2 3 × 13 × 17 × 61

Nearest primes: 107,843 (−5) · 107,857 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 61 · 68 · 104 · 122 · 136 · 221 · 244 · 442 · 488 · 793 · 884 · 1037 · 1586 · 1768 · 2074 · 3172 · 4148 · 6344 · 8296 · 13481 · 26962 · 53924 (half) · 107848
Aliquot sum (sum of proper divisors): 126,512
Factor pairs (a × b = 107,848)
1 × 107848
2 × 53924
4 × 26962
8 × 13481
13 × 8296
17 × 6344
26 × 4148
34 × 3172
52 × 2074
61 × 1768
68 × 1586
104 × 1037
122 × 884
136 × 793
221 × 488
244 × 442
First multiples
107,848 · 215,696 (double) · 323,544 · 431,392 · 539,240 · 647,088 · 754,936 · 862,784 · 970,632 · 1,078,480

Sums & aliquot sequence

As a sum of two squares: 82² + 318² = 138² + 298² = 198² + 262² = 222² + 242²
As consecutive integers: 8,290 + 8,291 + … + 8,302 6,733 + 6,734 + … + 6,748 6,336 + 6,337 + … + 6,352 1,738 + 1,739 + … + 1,798
Aliquot sequence: 107,848 → 126,512 → 118,636 → 132,244 → 132,300 → 362,460 → 798,756 → 1,397,340 → 3,451,140 → 10,096,380 → 25,815,300 → 64,178,940 → 146,259,204 → 277,025,532 → 474,243,588 → 1,001,191,100 → 1,689,261,700 — unresolved within range

Continued fraction of √n

√107,848 = [328; (2, 2, 17, 1, 5, 2, 3, 7, 1, 4, 1, 1, 4, 1, 1, 1, 2, 72, 1, 1, 1, 1, 163, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand eight hundred forty-eight
Ordinal
107848th
Binary
11010010101001000
Octal
322510
Hexadecimal
0x1A548
Base64
AaVI
One's complement
4,294,859,447 (32-bit)
Scientific notation
1.07848 × 10⁵
As a duration
107,848 s = 1 day, 5 hours, 57 minutes, 28 seconds
In other bases
ternary (3) 12110221101
quaternary (4) 122111020
quinary (5) 11422343
senary (6) 2151144
septenary (7) 626266
nonary (9) 173841
undecimal (11) 74034
duodecimal (12) 524b4
tridecimal (13) 3a120
tetradecimal (14) 2b436
pentadecimal (15) 21e4d

As an angle

107,848° = 299 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζωμηʹ
Mayan (base 20)
𝋭·𝋩·𝋬·𝋨
Chinese
十萬七千八百四十八
Chinese (financial)
壹拾萬柒仟捌佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٧٨٤٨ Devanagari १०७८४८ Bengali ১০৭৮৪৮ Tamil ௧௦௭௮௪௮ Thai ๑๐๗๘๔๘ Tibetan ༡༠༧༨༤༨ Khmer ១០៧៨៤៨ Lao ໑໐໗໘໔໘ Burmese ၁၀၇၈၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107848, here are decompositions:

  • 5 + 107843 = 107848
  • 11 + 107837 = 107848
  • 71 + 107777 = 107848
  • 101 + 107747 = 107848
  • 107 + 107741 = 107848
  • 131 + 107717 = 107848
  • 149 + 107699 = 107848
  • 227 + 107621 = 107848

Showing the first eight; more decompositions exist.

Hex color
#01A548
RGB(1, 165, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.72.

Address
0.1.165.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.72

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 107,848 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 107848 first appears in π at position 186,038 of the decimal expansion (the 186,038ordinal-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