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1,011,601

1,011,601 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.).

1,011,601 (one million eleven 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, 0xF6F91.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,061,101
Flips to (rotate 180°)
1,091,101
Square (n²)
1,023,336,583,201
Cube (n³)
1,035,208,310,902,714,801
Divisor count
2
σ(n) — sum of divisors
1,011,602
φ(n) — Euler's totient
1,011,600

Primality

1,011,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1011601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,011,601)
1 × 1011601
First multiples
1,011,601 · 2,023,202 (double) · 3,034,803 · 4,046,404 · 5,058,005 · 6,069,606 · 7,081,207 · 8,092,808 · 9,104,409 · 10,116,010

Sums & aliquot sequence

As a sum of two squares: 449² + 900²
As consecutive integers: 505,800 + 505,801

Continued fraction of √n

√1,011,601 = [1005; (1, 3, 1, 1, 1, 1, 1, 73, 1, 7, 2, 1, 1, 7, 3, 2, 2, 3, 1, 2, 48, 1, 2, 2, …)]

Representations

In words
one million eleven thousand six hundred one
Ordinal
1011601st
Binary
11110110111110010001
Octal
3667621
Hexadecimal
0xF6F91
Base64
D2+R
One's complement
4,293,955,694 (32-bit)
Scientific notation
1.011601 × 10⁶
As a duration
1,011,601 s = 11 days, 17 hours, 1 second
In other bases
ternary (3) 1220101122201
quaternary (4) 3312332101
quinary (5) 224332401
senary (6) 33403201
septenary (7) 11412163
nonary (9) 1811581
undecimal (11) 631038
duodecimal (12) 409501
tridecimal (13) 2955a6
tetradecimal (14) 1c4933
pentadecimal (15) 14eb01

As an angle

1,011,601° = 2,810 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 · 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零一萬一千六百零一
Chinese (financial)
壹佰零壹萬壹仟陸佰零壹
In other modern scripts
Eastern Arabic ١٠١١٦٠١ Devanagari १०११६०१ Bengali ১০১১৬০১ Tamil ௧௦௧௧௬௦௧ Thai ๑๐๑๑๖๐๑ Tibetan ༡༠༡༡༦༠༡ Khmer ១០១១៦០១ Lao ໑໐໑໑໖໐໑ Burmese ၁၀၁၁၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1011599.

Hex color
#0F6F91
RGB(15, 111, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.111.145.

Address
0.15.111.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.111.145

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 1601 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1601-10-01 (MMDYYYY (US, single-digit day))
  • 1601-01-10 (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 1,011,601 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.