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1,023,521

1,023,521 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.).

1,023,521 (one million twenty-three thousand five 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, 0xF9E21.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,253,201
Square (n²)
1,047,595,237,441
Cube (n³)
1,072,235,725,020,849,761
Divisor count
2
σ(n) — sum of divisors
1,023,522
φ(n) — Euler's totient
1,023,520

Primality

1,023,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1023521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,023,521)
1 × 1023521
First multiples
1,023,521 · 2,047,042 (double) · 3,070,563 · 4,094,084 · 5,117,605 · 6,141,126 · 7,164,647 · 8,188,168 · 9,211,689 · 10,235,210

Sums & aliquot sequence

As a sum of two squares: 440² + 911²
As consecutive integers: 511,760 + 511,761

Continued fraction of √n

√1,023,521 = [1011; (1, 2, 4, 36, 1, 1, 3, 1, 4, 5, 5, 1, 4, 3, 10, 1, 1, 1, 2, 42, 1, 2, 14, 4, …)]

Representations

In words
one million twenty-three thousand five hundred twenty-one
Ordinal
1023521st
Binary
11111001111000100001
Octal
3717041
Hexadecimal
0xF9E21
Base64
D54h
One's complement
4,293,943,774 (32-bit)
Scientific notation
1.023521 × 10⁶
As a duration
1,023,521 s = 11 days, 20 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 1221000000012
quaternary (4) 3321320201
quinary (5) 230223041
senary (6) 33534305
septenary (7) 11462012
nonary (9) 1830005
undecimal (11) 639a94
duodecimal (12) 414395
tridecimal (13) 29ab45
tetradecimal (14) 1c9009
pentadecimal (15) 1533eb

As an angle

1,023,521° = 2,843 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬三千五百二十一
Chinese (financial)
壹佰零貳萬參仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٣٥٢١ Devanagari १०२३५२१ Bengali ১০২৩৫২১ Tamil ௧௦௨௩௫௨௧ Thai ๑๐๒๓๕๒๑ Tibetan ༡༠༢༣༥༢༡ Khmer ១០២៣៥២១ Lao ໑໐໒໓໕໒໑ Burmese ၁၀၂၃၅၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F9E21
RGB(15, 158, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.158.33.

Address
0.15.158.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.158.33

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 3521 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3521-02-01 (DMMYYYY (Euro, single-digit day))
  • 3521-10-02 (MMDYYYY (US, single-digit day))
  • 3521-02-10 (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 1,023,521 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.