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1,021,441

1,021,441 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.).

1,021,441 (one million twenty-one thousand four hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9601.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,441,201
Square (n²)
1,043,341,716,481
Cube (n³)
1,065,712,006,224,069,121
Divisor count
2
σ(n) — sum of divisors
1,021,442
φ(n) — Euler's totient
1,021,440

Primality

1,021,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1021441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,021,441)
1 × 1021441
First multiples
1,021,441 · 2,042,882 (double) · 3,064,323 · 4,085,764 · 5,107,205 · 6,128,646 · 7,150,087 · 8,171,528 · 9,192,969 · 10,214,410

Sums & aliquot sequence

As a sum of two squares: 700² + 729²
As consecutive integers: 510,720 + 510,721

Continued fraction of √n

√1,021,441 = [1010; (1, 1, 1, 36, 11, 1, 3, 1, 5, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 6, …)]

Representations

In words
one million twenty-one thousand four hundred forty-one
Ordinal
1021441st
Binary
11111001011000000001
Octal
3713001
Hexadecimal
0xF9601
Base64
D5YB
One's complement
4,293,945,854 (32-bit)
Scientific notation
1.021441 × 10⁶
As a duration
1,021,441 s = 11 days, 19 hours, 44 minutes, 1 second
In other bases
ternary (3) 1220220011011
quaternary (4) 3321120001
quinary (5) 230141231
senary (6) 33520521
septenary (7) 11452651
nonary (9) 1826134
undecimal (11) 638473
duodecimal (12) 413141
tridecimal (13) 299c05
tetradecimal (14) 1c8361
pentadecimal (15) 1529b1

As an angle

1,021,441° = 2,837 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬一千四百四十一
Chinese (financial)
壹佰零貳萬壹仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ١٠٢١٤٤١ Devanagari १०२१४४१ Bengali ১০২১৪৪১ Tamil ௧௦௨௧௪௪௧ Thai ๑๐๒๑๔๔๑ Tibetan ༡༠༢༡༤༤༡ Khmer ១០២១៤៤១ Lao ໑໐໒໑໔໔໑ Burmese ၁၀၂၁၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F9601
RGB(15, 150, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.150.1.

Address
0.15.150.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.150.1

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 1441 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1441-02-01 (DMMYYYY (Euro, single-digit day))
  • 1441-10-02 (MMDYYYY (US, single-digit day))
  • 1441-02-10 (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 1,021,441 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.