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1,038,421

1,038,421 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.).

1,038,421 (one million thirty-eight thousand four hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFD855.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil 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
1,248,301
Square (n²)
1,078,318,173,241
Cube (n³)
1,119,748,235,775,092,461
Divisor count
2
σ(n) — sum of divisors
1,038,422
φ(n) — Euler's totient
1,038,420

Primality

1,038,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1038421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,038,421)
1 × 1038421
First multiples
1,038,421 · 2,076,842 (double) · 3,115,263 · 4,153,684 · 5,192,105 · 6,230,526 · 7,268,947 · 8,307,368 · 9,345,789 · 10,384,210

Sums & aliquot sequence

As a sum of two squares: 711² + 730²
As consecutive integers: 519,210 + 519,211

Continued fraction of √n

√1,038,421 = [1019; (33, 1, 29, 2, 4, 3, 15, 2, 21, 2, 3, 10, 1, 2, 1, 2, 2, 1, 3, 1, 7, 1, 7, 1, …)]

Representations

In words
one million thirty-eight thousand four hundred twenty-one
Ordinal
1038421st
Binary
11111101100001010101
Octal
3754125
Hexadecimal
0xFD855
Base64
D9hV
One's complement
4,293,928,874 (32-bit)
Scientific notation
1.038421 × 10⁶
As a duration
1,038,421 s = 12 days, 27 minutes, 1 second
In other bases
ternary (3) 1221202110001
quaternary (4) 3331201111
quinary (5) 231212141
senary (6) 34131301
septenary (7) 11553316
nonary (9) 1852401
undecimal (11) 64a1aa
duodecimal (12) 420b31
tridecimal (13) 2a4867
tetradecimal (14) 1d060d
pentadecimal (15) 157a31

As an angle

1,038,421° = 2,884 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零三萬八千四百二十一
Chinese (financial)
壹佰零參萬捌仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٣٨٤٢١ Devanagari १०३८४२१ Bengali ১০৩৮৪২১ Tamil ௧௦௩௮௪௨௧ Thai ๑๐๓๘๔๒๑ Tibetan ༡༠༣༨༤༢༡ Khmer ១០៣៨៤២១ Lao ໑໐໓໘໔໒໑ Burmese ၁၀၃၈၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FD855
RGB(15, 216, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.216.85.

Address
0.15.216.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.216.85

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 3, 8421 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8421-03-01 (DMMYYYY (Euro, single-digit day))
  • 8421-10-03 (MMDYYYY (US, single-digit day))
  • 8421-03-10 (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 1,038,421 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.