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1,001,821

1,001,821 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.).

1,001,821 (one million one thousand eight 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, 0xF495D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Lazy Caterer 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
1,281,001
Square (n²)
1,003,645,316,041
Cube (n³)
1,005,472,954,161,510,661
Divisor count
2
σ(n) — sum of divisors
1,001,822
φ(n) — Euler's totient
1,001,820

Primality

1,001,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,821)
1 × 1001821
First multiples
1,001,821 · 2,003,642 (double) · 3,005,463 · 4,007,284 · 5,009,105 · 6,010,926 · 7,012,747 · 8,014,568 · 9,016,389 · 10,018,210

Sums & aliquot sequence

As a sum of two squares: 486² + 875²
As consecutive integers: 500,910 + 500,911

Continued fraction of √n

√1,001,821 = [1000; (1, 10, 8, 4, 1, 1, 1, 3, 1, 23, 21, 2, 14, 8, 9, 1, 5, 13, 2, 4, 2, 1, 12, 4, …)]

Representations

In words
one million one thousand eight hundred twenty-one
Ordinal
1001821st
Binary
11110100100101011101
Octal
3644535
Hexadecimal
0xF495D
Base64
D0ld
One's complement
4,293,965,474 (32-bit)
Scientific notation
1.001821 × 10⁶
As a duration
1,001,821 s = 11 days, 14 hours, 17 minutes, 1 second
In other bases
ternary (3) 1212220020111
quaternary (4) 3310211131
quinary (5) 224024241
senary (6) 33250021
septenary (7) 11341522
nonary (9) 1786214
undecimal (11) 624757
duodecimal (12) 403911
tridecimal (13) 290cc2
tetradecimal (14) 1c1149
pentadecimal (15) 14bc81

As an angle

1,001,821° = 2,782 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百萬一千八百二十一
Chinese (financial)
壹佰萬壹仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٠١٨٢١ Devanagari १००१८२१ Bengali ১০০১৮২১ Tamil ௧௦௦௧௮௨௧ Thai ๑๐๐๑๘๒๑ Tibetan ༡༠༠༡༨༢༡ Khmer ១០០១៨២១ Lao ໑໐໐໑໘໒໑ Burmese ၁၀၀၁၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F495D
RGB(15, 73, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.93.

Address
0.15.73.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.73.93

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

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 1,001,821 and was likely granted around 1911.

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.