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1,048,129

1,048,129 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.).

1,048,129 (one million forty-eight thousand one hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFFE41.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
9,218,401
Square (n²)
1,098,574,400,641
Cube (n³)
1,151,447,687,969,450,689
Divisor count
2
σ(n) — sum of divisors
1,048,130
φ(n) — Euler's totient
1,048,128

Primality

1,048,129 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048129
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,129)
1 × 1048129
First multiples
1,048,129 · 2,096,258 (double) · 3,144,387 · 4,192,516 · 5,240,645 · 6,288,774 · 7,336,903 · 8,385,032 · 9,433,161 · 10,481,290

Sums & aliquot sequence

As a sum of two squares: 40² + 1,023²
As consecutive integers: 524,064 + 524,065

Continued fraction of √n

√1,048,129 = [1023; (1, 3, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 3, 1, 3, 14, 18, 2, 1, …)]

Representations

In words
one million forty-eight thousand one hundred twenty-nine
Ordinal
1048129th
Binary
11111111111001000001
Octal
3777101
Hexadecimal
0xFFE41
Base64
D/5B
One's complement
4,293,919,166 (32-bit)
Scientific notation
1.048129 × 10⁶
As a duration
1,048,129 s = 12 days, 3 hours, 8 minutes, 49 seconds
In other bases
ternary (3) 1222020202121
quaternary (4) 3333321001
quinary (5) 232020004
senary (6) 34244241
septenary (7) 11623525
nonary (9) 1866677
undecimal (11) 656525
duodecimal (12) 426681
tridecimal (13) 2a90c4
tetradecimal (14) 1d3d85
pentadecimal (15) 15a854

As an angle

1,048,129° = 2,911 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬八千一百二十九
Chinese (financial)
壹佰零肆萬捌仟壹佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٤٨١٢٩ Devanagari १०४८१२९ Bengali ১০৪৮১২৯ Tamil ௧௦௪௮௧௨௯ Thai ๑๐๔๘๑๒๙ Tibetan ༡༠༤༨༡༢༩ Khmer ១០៤៨១២៩ Lao ໑໐໔໘໑໒໙ Burmese ၁၀၄၈၁၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1048127.

Hex color
#0FFE41
RGB(15, 254, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.254.65.

Address
0.15.254.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.254.65

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8129 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8129-04-01 (DMMYYYY (Euro, single-digit day))
  • 8129-10-04 (MMDYYYY (US, single-digit day))
  • 8129-04-10 (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 1,048,129 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.