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1,051,601

1,051,601 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.).

1,051,601 (one million fifty-one thousand six hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100BD1.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
1,061,501
Square (n²)
1,105,864,663,201
Cube (n³)
1,162,928,385,686,834,801
Divisor count
2
σ(n) — sum of divisors
1,051,602
φ(n) — Euler's totient
1,051,600

Primality

1,051,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051,601)
1 × 1051601
First multiples
1,051,601 · 2,103,202 (double) · 3,154,803 · 4,206,404 · 5,258,005 · 6,309,606 · 7,361,207 · 8,412,808 · 9,464,409 · 10,516,010

Sums & aliquot sequence

As a sum of two squares: 55² + 1,024²
As consecutive integers: 525,800 + 525,801

Continued fraction of √n

√1,051,601 = [1025; (2, 9, 1, 10, 4, 7, 3, 2, 1, 1, 1, 2, 1, 1, 3, 15, 1, 6, 1, 2, 5, 2, 11, 5, …)]

Representations

In words
one million fifty-one thousand six hundred one
Ordinal
1051601st
Binary
100000000101111010001
Octal
4005721
Hexadecimal
0x100BD1
Base64
EAvR
One's complement
4,293,915,694 (32-bit)
Scientific notation
1.051601 × 10⁶
As a duration
1,051,601 s = 12 days, 4 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 1222102112012
quaternary (4) 10000233101
quinary (5) 232122401
senary (6) 34312305
septenary (7) 11636615
nonary (9) 1872465
undecimal (11) 6590a1
duodecimal (12) 428695
tridecimal (13) 2aa865
tetradecimal (14) 1d5345
pentadecimal (15) 15b8bb

As an angle

1,051,601° = 2,921 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零五萬一千六百零一
Chinese (financial)
壹佰零伍萬壹仟陸佰零壹
In other modern scripts
Eastern Arabic ١٠٥١٦٠١ Devanagari १०५१६०१ Bengali ১০৫১৬০১ Tamil ௧௦௫௧௬௦௧ Thai ๑๐๕๑๖๐๑ Tibetan ༡༠༥༡༦༠༡ Khmer ១០៥១៦០១ Lao ໑໐໕໑໖໐໑ Burmese ၁၀၅၁၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1051607.

Hex color
#100BD1
RGB(16, 11, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.11.209.

Address
0.16.11.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.11.209

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 1601 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1601-05-01 (DMMYYYY (Euro, single-digit day))
  • 1601-10-05 (MMDYYYY (US, single-digit day))
  • 1601-05-10 (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 1,051,601 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.