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1,020,961

1,020,961 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.).

1,020,961 (one million twenty thousand nine hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9421.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,690,201
Square (n²)
1,042,361,363,521
Cube (n³)
1,064,210,300,061,763,681
Divisor count
2
σ(n) — sum of divisors
1,020,962
φ(n) — Euler's totient
1,020,960

Primality

1,020,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1020961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,020,961)
1 × 1020961
First multiples
1,020,961 · 2,041,922 (double) · 3,062,883 · 4,083,844 · 5,104,805 · 6,125,766 · 7,146,727 · 8,167,688 · 9,188,649 · 10,209,610

Sums & aliquot sequence

As a sum of two squares: 420² + 919²
As consecutive integers: 510,480 + 510,481

Continued fraction of √n

√1,020,961 = [1010; (2, 2, 1, 7, 1, 2, 2, 2, 57, 3, 15, 1, 5, 13, 4, 1, 1, 1, 10, 1, 1, 11, 39, 1, …)]

Representations

In words
one million twenty thousand nine hundred sixty-one
Ordinal
1020961st
Binary
11111001010000100001
Octal
3712041
Hexadecimal
0xF9421
Base64
D5Qh
One's complement
4,293,946,334 (32-bit)
Scientific notation
1.020961 × 10⁶
As a duration
1,020,961 s = 11 days, 19 hours, 36 minutes, 1 second
In other bases
ternary (3) 1220212111101
quaternary (4) 3321100201
quinary (5) 230132321
senary (6) 33514401
septenary (7) 11451364
nonary (9) 1825441
undecimal (11) 638077
duodecimal (12) 412a01
tridecimal (13) 299926
tetradecimal (14) 1c80db
pentadecimal (15) 152791

As an angle

1,020,961° = 2,836 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零二萬零九百六十一
Chinese (financial)
壹佰零貳萬零玖佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٢٠٩٦١ Devanagari १०२०९६१ Bengali ১০২০৯৬১ Tamil ௧௦௨௦௯௬௧ Thai ๑๐๒๐๙๖๑ Tibetan ༡༠༢༠༩༦༡ Khmer ១០២០៩៦១ Lao ໑໐໒໐໙໖໑ Burmese ၁၀၂၀၉၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1020959, sexy with 1020967.

Hex color
#0F9421
RGB(15, 148, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.33.

Address
0.15.148.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.148.33

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 0961 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0961-02-01 (DMMYYYY (Euro, single-digit day))
  • 0961-10-02 (MMDYYYY (US, single-digit day))
  • 0961-02-10 (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 1,020,961 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.