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107,250

107,250 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.).

107,250 (one hundred seven thousand two hundred fifty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5³ × 11 × 13. Its proper divisors sum to 207,246, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2F2.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
52,701
Recamán's sequence
a(82,555) = 107,250
Square (n²)
11,502,562,500
Cube (n³)
1,233,649,828,125,000
Divisor count
64
σ(n) — sum of divisors
314,496
φ(n) — Euler's totient
24,000
Sum of prime factors
44

Primality

Prime factorization: 2 × 3 × 5 3 × 11 × 13

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

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 10 · 11 · 13 · 15 · 22 · 25 · 26 · 30 · 33 · 39 · 50 · 55 · 65 · 66 · 75 · 78 · 110 · 125 · 130 · 143 · 150 · 165 · 195 · 250 · 275 · 286 · 325 · 330 · 375 · 390 · 429 · 550 · 650 · 715 · 750 · 825 · 858 · 975 · 1375 · 1430 · 1625 · 1650 · 1950 · 2145 · 2750 · 3250 · 3575 · 4125 · 4290 · 4875 · 7150 · 8250 · 9750 · 10725 · 17875 · 21450 · 35750 · 53625 (half) · 107250
Aliquot sum (sum of proper divisors): 207,246
Factor pairs (a × b = 107,250)
1 × 107250
2 × 53625
3 × 35750
5 × 21450
6 × 17875
10 × 10725
11 × 9750
13 × 8250
15 × 7150
22 × 4875
25 × 4290
26 × 4125
30 × 3575
33 × 3250
39 × 2750
50 × 2145
55 × 1950
65 × 1650
66 × 1625
75 × 1430
78 × 1375
110 × 975
125 × 858
130 × 825
143 × 750
150 × 715
165 × 650
195 × 550
250 × 429
275 × 390
286 × 375
325 × 330
First multiples
107,250 · 214,500 (double) · 321,750 · 429,000 · 536,250 · 643,500 · 750,750 · 858,000 · 965,250 · 1,072,500

Sums & aliquot sequence

As consecutive integers: 35,749 + 35,750 + 35,751 26,811 + 26,812 + 26,813 + 26,814 21,448 + 21,449 + 21,450 + 21,451 + 21,452 9,745 + 9,746 + … + 9,755
Aliquot sequence: 107,250 → 207,246 → 239,298 → 239,310 → 383,130 → 766,854 → 1,093,626 → 1,275,936 → 2,073,648 → 3,283,400 → 4,350,970 → 4,083,470 → 3,266,794 → 1,713,914 → 1,240,966 → 858,914 → 691,486 — unresolved within range

Continued fraction of √n

√107,250 = [327; (2, 25, 1, 2, 3, 25, 1, 8, 1, 25, 3, 2, 1, 25, 2, 654)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand two hundred fifty
Ordinal
107250th
Binary
11010001011110010
Octal
321362
Hexadecimal
0x1A2F2
Base64
AaLy
One's complement
4,294,860,045 (32-bit)
Scientific notation
1.0725 × 10⁵
As a duration
107,250 s = 1 day, 5 hours, 47 minutes, 30 seconds
In other bases
ternary (3) 12110010020
quaternary (4) 122023302
quinary (5) 11413000
senary (6) 2144310
septenary (7) 624453
nonary (9) 173106
undecimal (11) 73640
duodecimal (12) 52096
tridecimal (13) 39a80
tetradecimal (14) 2b12a
pentadecimal (15) 21ba0

As an angle

107,250° = 297 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζσνʹ
Mayan (base 20)
𝋭·𝋨·𝋢·𝋪
Chinese
十萬七千二百五十
Chinese (financial)
壹拾萬柒仟貳佰伍拾
In other modern scripts
Eastern Arabic ١٠٧٢٥٠ Devanagari १०७२५० Bengali ১০৭২৫০ Tamil ௧௦௭௨௫௦ Thai ๑๐๗๒๕๐ Tibetan ༡༠༧༢༥༠ Khmer ១០៧២៥០ Lao ໑໐໗໒໕໐ Burmese ၁၀၇၂၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107250, here are decompositions:

  • 7 + 107243 = 107250
  • 23 + 107227 = 107250
  • 41 + 107209 = 107250
  • 53 + 107197 = 107250
  • 67 + 107183 = 107250
  • 79 + 107171 = 107250
  • 113 + 107137 = 107250
  • 127 + 107123 = 107250

Showing the first eight; more decompositions exist.

Hex color
#01A2F2
RGB(1, 162, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.242.

Address
0.1.162.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.242

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 107,250 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 107250 first appears in π at position 232,574 of the decimal expansion (the 232,574ordinal-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°.