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1,026,401

1,026,401 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.).

1,026,401 (one million twenty-six thousand four hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA961.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
1,046,201
Square (n²)
1,053,499,012,801
Cube (n³)
1,081,312,440,237,959,201
Divisor count
2
σ(n) — sum of divisors
1,026,402
φ(n) — Euler's totient
1,026,400

Primality

1,026,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1026401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,026,401)
1 × 1026401
First multiples
1,026,401 · 2,052,802 (double) · 3,079,203 · 4,105,604 · 5,132,005 · 6,158,406 · 7,184,807 · 8,211,208 · 9,237,609 · 10,264,010

Sums & aliquot sequence

As a sum of two squares: 680² + 751²
As consecutive integers: 513,200 + 513,201

Continued fraction of √n

√1,026,401 = [1013; (8, 1, 2, 1, 2, 1, 54, 33, 5, 28, 2, 1, 16, 1, 18, 1, 1, 5, 1, 4, 1, 1, 8, 2, …)]

Representations

In words
one million twenty-six thousand four hundred one
Ordinal
1026401st
Binary
11111010100101100001
Octal
3724541
Hexadecimal
0xFA961
Base64
D6lh
One's complement
4,293,940,894 (32-bit)
Scientific notation
1.026401 × 10⁶
As a duration
1,026,401 s = 11 days, 21 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 1221010221212
quaternary (4) 3322211201
quinary (5) 230321101
senary (6) 33555505
septenary (7) 11503265
nonary (9) 1833855
undecimal (11) 641172
duodecimal (12) 415b95
tridecimal (13) 29c24c
tetradecimal (14) 1ca0a5
pentadecimal (15) 1541bb

As an angle

1,026,401° = 2,851 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百零二萬六千四百零一
Chinese (financial)
壹佰零貳萬陸仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠٢٦٤٠١ Devanagari १०२६४०१ Bengali ১০২৬৪০১ Tamil ௧௦௨௬௪௦௧ Thai ๑๐๒๖๔๐๑ Tibetan ༡༠༢༦༤༠༡ Khmer ១០២៦៤០១ Lao ໑໐໒໖໔໐໑ Burmese ၁၀၂၆၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1026407.

Hex color
#0FA961
RGB(15, 169, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.169.97.

Address
0.15.169.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.169.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 6401 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6401-02-01 (DMMYYYY (Euro, single-digit day))
  • 6401-10-02 (MMDYYYY (US, single-digit day))
  • 6401-02-10 (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 1,026,401 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.