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1,025,137

1,025,137 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.).

1,025,137 (one million twenty-five 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, 0xFA471.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious 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
20 bits
Reversed
7,315,201
Square (n²)
1,050,905,868,769
Cube (n³)
1,077,322,489,592,246,353
Divisor count
2
σ(n) — sum of divisors
1,025,138
φ(n) — Euler's totient
1,025,136

Primality

1,025,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1025137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,025,137)
1 × 1025137
First multiples
1,025,137 · 2,050,274 (double) · 3,075,411 · 4,100,548 · 5,125,685 · 6,150,822 · 7,175,959 · 8,201,096 · 9,226,233 · 10,251,370

Sums & aliquot sequence

As a sum of two squares: 84² + 1,009²
As consecutive integers: 512,568 + 512,569

Continued fraction of √n

√1,025,137 = [1012; (2, 25, 1, 3, 1, 27, 3, 15, 2, 1, 2, 1, 1, 9, 2, 1, 1, 10, 1, 5, 2, 3, 3, 2, …)]

Representations

In words
one million twenty-five thousand one hundred thirty-seven
Ordinal
1025137th
Binary
11111010010001110001
Octal
3722161
Hexadecimal
0xFA471
Base64
D6Rx
One's complement
4,293,942,158 (32-bit)
Scientific notation
1.025137 × 10⁶
As a duration
1,025,137 s = 11 days, 20 hours, 45 minutes, 37 seconds
In other bases
ternary (3) 1221002020001
quaternary (4) 3322101301
quinary (5) 230301022
senary (6) 33550001
septenary (7) 11466511
nonary (9) 1832201
undecimal (11) 640223
duodecimal (12) 415301
tridecimal (13) 29b7b9
tetradecimal (14) 1c9841
pentadecimal (15) 153b27

As an angle

1,025,137° = 2,847 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬五千一百三十七
Chinese (financial)
壹佰零貳萬伍仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٢٥١٣٧ Devanagari १०२५१३७ Bengali ১০২৫১৩৭ Tamil ௧௦௨௫௧௩௭ Thai ๑๐๒๕๑๓๗ Tibetan ༡༠༢༥༡༣༧ Khmer ១០២៥១៣៧ Lao ໑໐໒໕໑໓໗ Burmese ၁၀၂၅၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA471
RGB(15, 164, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.164.113.

Address
0.15.164.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.164.113

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 5137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5137-02-01 (DMMYYYY (Euro, single-digit day))
  • 5137-10-02 (MMDYYYY (US, single-digit day))
  • 5137-02-10 (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 1,025,137 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.