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1,007,021

1,007,021 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.).

1,007,021 (one million seven thousand twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF5DAD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,207,001
Square (n²)
1,014,091,294,441
Cube (n³)
1,021,211,229,419,270,261
Divisor count
2
σ(n) — sum of divisors
1,007,022
φ(n) — Euler's totient
1,007,020

Primality

1,007,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1007021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,007,021)
1 × 1007021
First multiples
1,007,021 · 2,014,042 (double) · 3,021,063 · 4,028,084 · 5,035,105 · 6,042,126 · 7,049,147 · 8,056,168 · 9,063,189 · 10,070,210

Sums & aliquot sequence

As a sum of two squares: 170² + 989²
As consecutive integers: 503,510 + 503,511

Continued fraction of √n

√1,007,021 = [1003; (1, 1, 56, 1, 5, 2, 1, 2, 2, 10, 11, 1, 1, 2, 1, 15, 2, 1, 15, 1, 10, 1, 1, 8, …)]

Representations

In words
one million seven thousand twenty-one
Ordinal
1007021st
Binary
11110101110110101101
Octal
3656655
Hexadecimal
0xF5DAD
Base64
D12t
One's complement
4,293,960,274 (32-bit)
Scientific notation
1.007021 × 10⁶
As a duration
1,007,021 s = 11 days, 15 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 1220011101002
quaternary (4) 3311312231
quinary (5) 224211041
senary (6) 33330045
septenary (7) 11362631
nonary (9) 1804332
undecimal (11) 628654
duodecimal (12) 406925
tridecimal (13) 293492
tetradecimal (14) 1c2dc1
pentadecimal (15) 14d59b

As an angle

1,007,021° = 2,797 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Chinese
一百萬七千零二十一
Chinese (financial)
壹佰萬柒仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠٠٧٠٢١ Devanagari १००७०२१ Bengali ১০০৭০২১ Tamil ௧௦௦௭௦௨௧ Thai ๑๐๐๗๐๒๑ Tibetan ༡༠༠༧༠༢༡ Khmer ១០០៧០២១ Lao ໑໐໐໗໐໒໑ Burmese ၁၀၀၇၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1007023.

Hex color
#0F5DAD
RGB(15, 93, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.173.

Address
0.15.93.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.173

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 1,007,021 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.