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1,033,601

1,033,601 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.).

1,033,601 (one million thirty-three 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, 0xFC581.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,063,301
Recamán's sequence
a(383,421) = 1,033,601
Square (n²)
1,068,331,027,201
Cube (n³)
1,104,228,018,045,980,801
Divisor count
2
σ(n) — sum of divisors
1,033,602
φ(n) — Euler's totient
1,033,600

Primality

1,033,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1033601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,033,601)
1 × 1033601
First multiples
1,033,601 · 2,067,202 (double) · 3,100,803 · 4,134,404 · 5,168,005 · 6,201,606 · 7,235,207 · 8,268,808 · 9,302,409 · 10,336,010

Sums & aliquot sequence

As a sum of two squares: 601² + 820²
As consecutive integers: 516,800 + 516,801

Continued fraction of √n

√1,033,601 = [1016; (1, 1, 1, 21, 1, 2, 9, 1, 4, 1, 4, 1, 2, 3, 1, 1, 1, 2, 27, 2, 9, 2, 2, 1, …)]

Representations

In words
one million thirty-three thousand six hundred one
Ordinal
1033601st
Binary
11111100010110000001
Octal
3742601
Hexadecimal
0xFC581
Base64
D8WB
One's complement
4,293,933,694 (32-bit)
Scientific notation
1.033601 × 10⁶
As a duration
1,033,601 s = 11 days, 23 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 1221111211112
quaternary (4) 3330112001
quinary (5) 231033401
senary (6) 34053105
septenary (7) 11533262
nonary (9) 1844745
undecimal (11) 646618
duodecimal (12) 41a195
tridecimal (13) 2a25ca
tetradecimal (14) 1cc969
pentadecimal (15) 1563bb

As an angle

1,033,601° = 2,871 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零三萬三千六百零一
Chinese (financial)
壹佰零參萬參仟陸佰零壹
In other modern scripts
Eastern Arabic ١٠٣٣٦٠١ Devanagari १०३३६०१ Bengali ১০৩৩৬০১ Tamil ௧௦௩௩௬௦௧ Thai ๑๐๓๓๖๐๑ Tibetan ༡༠༣༣༦༠༡ Khmer ១០៣៣៦០១ Lao ໑໐໓໓໖໐໑ Burmese ၁၀၃၃၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1033603.

Hex color
#0FC581
RGB(15, 197, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.197.129.

Address
0.15.197.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.197.129

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 3601 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3601-03-01 (DMMYYYY (Euro, single-digit day))
  • 3601-10-03 (MMDYYYY (US, single-digit day))
  • 3601-03-10 (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 1,033,601 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.