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1,024,073

1,024,073 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.).

1,024,073 (one million twenty-four thousand seventy-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA049.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
3,704,201
Square (n²)
1,048,725,509,329
Cube (n³)
1,073,971,478,515,077,017
Divisor count
2
σ(n) — sum of divisors
1,024,074
φ(n) — Euler's totient
1,024,072

Primality

1,024,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024073
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,073)
1 × 1024073
First multiples
1,024,073 · 2,048,146 (double) · 3,072,219 · 4,096,292 · 5,120,365 · 6,144,438 · 7,168,511 · 8,192,584 · 9,216,657 · 10,240,730

Sums & aliquot sequence

As a sum of two squares: 428² + 917²
As consecutive integers: 512,036 + 512,037

Continued fraction of √n

√1,024,073 = [1011; (1, 27, 1, 1, 37, 1, 2, 8, 1, 105, 1, 1, 1, 2, 2, 1, 12, 1, 1, 1, 1, 2, 1, 5, …)]

Representations

In words
one million twenty-four thousand seventy-three
Ordinal
1024073rd
Binary
11111010000001001001
Octal
3720111
Hexadecimal
0xFA049
Base64
D6BJ
One's complement
4,293,943,222 (32-bit)
Scientific notation
1.024073 × 10⁶
As a duration
1,024,073 s = 11 days, 20 hours, 27 minutes, 53 seconds
In other bases
ternary (3) 1221000202122
quaternary (4) 3322001021
quinary (5) 230232243
senary (6) 33541025
septenary (7) 11463431
nonary (9) 1830678
undecimal (11) 63a446
duodecimal (12) 414775
tridecimal (13) 29b17b
tetradecimal (14) 1c92c1
pentadecimal (15) 153668

As an angle

1,024,073° = 2,844 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零二萬四千零七十三
Chinese (financial)
壹佰零貳萬肆仟零柒拾參
In other modern scripts
Eastern Arabic ١٠٢٤٠٧٣ Devanagari १०२४०७३ Bengali ১০২৪০৭৩ Tamil ௧௦௨௪௦௭௩ Thai ๑๐๒๔๐๗๓ Tibetan ༡༠༢༤༠༧༣ Khmer ១០២៤០៧៣ Lao ໑໐໒໔໐໗໓ Burmese ၁၀၂၄၀၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA049
RGB(15, 160, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.73.

Address
0.15.160.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.160.73

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4073 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4073-02-01 (DMMYYYY (Euro, single-digit day))
  • 4073-10-02 (MMDYYYY (US, single-digit day))
  • 4073-02-10 (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 1,024,073 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.