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107,053

107,053 is a prime, odd.

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.).

107,053 (one hundred seven thousand fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A22D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
350,701
Recamán's sequence
a(45,637) = 107,053
Square (n²)
11,460,344,809
Cube (n³)
1,226,864,292,837,877
Divisor count
2
σ(n) — sum of divisors
107,054
φ(n) — Euler's totient
107,052

Primality

107,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,053)
1 × 107053
First multiples
107,053 · 214,106 (double) · 321,159 · 428,212 · 535,265 · 642,318 · 749,371 · 856,424 · 963,477 · 1,070,530

Sums & aliquot sequence

As a sum of two squares: 77² + 318²
As consecutive integers: 53,526 + 53,527

Continued fraction of √n

√107,053 = [327; (5, 3, 1, 1, 1, 2, 8, 8, 2, 1, 1, 1, 3, 5, 654)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand fifty-three
Ordinal
107053rd
Binary
11010001000101101
Octal
321055
Hexadecimal
0x1A22D
Base64
AaIt
One's complement
4,294,860,242 (32-bit)
Scientific notation
1.07053 × 10⁵
As a duration
107,053 s = 1 day, 5 hours, 44 minutes, 13 seconds
In other bases
ternary (3) 12102211221
quaternary (4) 122020231
quinary (5) 11411203
senary (6) 2143341
septenary (7) 624052
nonary (9) 172757
undecimal (11) 73481
duodecimal (12) 51b51
tridecimal (13) 3995b
tetradecimal (14) 2b029
pentadecimal (15) 21abd

As an angle

107,053° = 297 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρζνγʹ
Mayan (base 20)
𝋭·𝋧·𝋬·𝋭
Chinese
十萬七千零五十三
Chinese (financial)
壹拾萬柒仟零伍拾參
In other modern scripts
Eastern Arabic ١٠٧٠٥٣ Devanagari १०७०५३ Bengali ১০৭০৫৩ Tamil ௧௦௭௦௫௩ Thai ๑๐๗๐๕๓ Tibetan ༡༠༧༠༥༣ Khmer ១០៧០៥៣ Lao ໑໐໗໐໕໓ Burmese ၁၀၇၀၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 107057.

Hex color
#01A22D
RGB(1, 162, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.45.

Address
0.1.162.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.45

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 107,053 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 107053 first appears in π at position 327,384 of the decimal expansion (the 327,384ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.