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107,244

107,244 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.).

107,244 (one hundred seven thousand two hundred forty-four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2² × 3⁴ × 331. Its proper divisors sum to 173,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2EC.

Abundant Number Happy Number Harshad / Niven Odious Number Practical Number 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
442,701
Recamán's sequence
a(82,543) = 107,244
Square (n²)
11,501,275,536
Cube (n³)
1,233,442,793,582,784
Divisor count
30
σ(n) — sum of divisors
281,204
φ(n) — Euler's totient
35,640
Sum of prime factors
347

Primality

Prime factorization: 2 2 × 3 4 × 331

Nearest primes: 107,243 (−1) · 107,251 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 · 324 · 331 · 662 · 993 · 1324 · 1986 · 2979 · 3972 · 5958 · 8937 · 11916 · 17874 · 26811 · 35748 · 53622 (half) · 107244
Aliquot sum (sum of proper divisors): 173,960
Factor pairs (a × b = 107,244)
1 × 107244
2 × 53622
3 × 35748
4 × 26811
6 × 17874
9 × 11916
12 × 8937
18 × 5958
27 × 3972
36 × 2979
54 × 1986
81 × 1324
108 × 993
162 × 662
324 × 331
First multiples
107,244 · 214,488 (double) · 321,732 · 428,976 · 536,220 · 643,464 · 750,708 · 857,952 · 965,196 · 1,072,440

Sums & aliquot sequence

As consecutive integers: 35,747 + 35,748 + 35,749 13,402 + 13,403 + … + 13,409 11,912 + 11,913 + … + 11,920 4,457 + 4,458 + … + 4,480
Aliquot sequence: 107,244 → 173,960 → 217,540 → 248,660 → 273,568 → 276,800 → 408,238 → 240,194 → 120,100 → 140,734 → 89,594 → 44,800 → 81,928 → 123,272 → 120,328 → 126,722 → 63,364 — unresolved within range

Continued fraction of √n

√107,244 = [327; (2, 12, 1, 6, 1, 1, 14, 2, 1, 5, 2, 1, 81, 5, 2, 2, 59, 7, 2, 2, 1, 6, 1, 162, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand two hundred forty-four
Ordinal
107244th
Binary
11010001011101100
Octal
321354
Hexadecimal
0x1A2EC
Base64
AaLs
One's complement
4,294,860,051 (32-bit)
Scientific notation
1.07244 × 10⁵
As a duration
107,244 s = 1 day, 5 hours, 47 minutes, 24 seconds
In other bases
ternary (3) 12110010000
quaternary (4) 122023230
quinary (5) 11412434
senary (6) 2144300
septenary (7) 624444
nonary (9) 173100
undecimal (11) 73635
duodecimal (12) 52090
tridecimal (13) 39a77
tetradecimal (14) 2b124
pentadecimal (15) 21b99

As an angle

107,244° = 297 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζσμδʹ
Mayan (base 20)
𝋭·𝋨·𝋢·𝋤
Chinese
十萬七千二百四十四
Chinese (financial)
壹拾萬柒仟貳佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٧٢٤٤ Devanagari १०७२४४ Bengali ১০৭২৪৪ Tamil ௧௦௭௨௪௪ Thai ๑๐๗๒๔๔ Tibetan ༡༠༧༢༤༤ Khmer ១០៧២៤៤ Lao ໑໐໗໒໔໔ Burmese ၁၀၇၂၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107244, here are decompositions:

  • 17 + 107227 = 107244
  • 43 + 107201 = 107244
  • 47 + 107197 = 107244
  • 61 + 107183 = 107244
  • 73 + 107171 = 107244
  • 107 + 107137 = 107244
  • 167 + 107077 = 107244
  • 173 + 107071 = 107244

Showing the first eight; more decompositions exist.

Hex color
#01A2EC
RGB(1, 162, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.236.

Address
0.1.162.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.236

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 107,244 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 107244 first appears in π at position 569,527 of the decimal expansion (the 569,527ordinal-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°.