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1,052,137

1,052,137 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.).

1,052,137 (one million fifty-two thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100DE9.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
7,312,501
Square (n²)
1,106,992,266,769
Cube (n³)
1,164,707,522,581,535,353
Divisor count
2
σ(n) — sum of divisors
1,052,138
φ(n) — Euler's totient
1,052,136

Primality

1,052,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1052137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,052,137)
1 × 1052137
First multiples
1,052,137 · 2,104,274 (double) · 3,156,411 · 4,208,548 · 5,260,685 · 6,312,822 · 7,364,959 · 8,417,096 · 9,469,233 · 10,521,370

Sums & aliquot sequence

As a sum of two squares: 141² + 1,016²
As consecutive integers: 526,068 + 526,069

Continued fraction of √n

√1,052,137 = [1025; (1, 2, 1, 4, 5, 1, 8, 1, 1, 8, 3, 1, 1, 2, 47, 3, 7, 1, 2, 6, 1, 1, 1, 8, …)]

Representations

In words
one million fifty-two thousand one hundred thirty-seven
Ordinal
1052137th
Binary
100000000110111101001
Octal
4006751
Hexadecimal
0x100DE9
Base64
EA3p
One's complement
4,293,915,158 (32-bit)
Scientific notation
1.052137 × 10⁶
As a duration
1,052,137 s = 12 days, 4 hours, 15 minutes, 37 seconds
In other bases
ternary (3) 1222110021001
quaternary (4) 10000313221
quinary (5) 232132022
senary (6) 34315001
septenary (7) 11641312
nonary (9) 1873231
undecimal (11) 659539
duodecimal (12) 428a61
tridecimal (13) 2aab88
tetradecimal (14) 1d5609
pentadecimal (15) 15bb27

As an angle

1,052,137° = 2,922 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千一百三十七
Chinese (financial)
壹佰零伍萬貳仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٥٢١٣٧ Devanagari १०५२१३७ Bengali ১০৫২১৩৭ Tamil ௧௦௫௨௧௩௭ Thai ๑๐๕๒๑๓๗ Tibetan ༡༠༥༢༡༣༧ Khmer ១០៥២១៣៧ Lao ໑໐໕໒໑໓໗ Burmese ၁၀၅၂၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1052141.

Hex color
#100DE9
RGB(16, 13, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.233.

Address
0.16.13.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.233

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 2137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2137-05-01 (DMMYYYY (Euro, single-digit day))
  • 2137-10-05 (MMDYYYY (US, single-digit day))
  • 2137-05-10 (DDMYYYY (Euro, single-digit month))
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 1,052,137 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.