Live analysis

1,016,137

1,016,137 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.).

1,016,137 (one million sixteen thousand one hundred thirty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF8149.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,016,125 1,016,126 1,016,127 1,016,128 1,016,129 1,016,130 1,016,131 1,016,132 1,016,133 1,016,134 1,016,135 1,016,136 1,016,137 1,016,138 1,016,139 1,016,140 1,016,141 1,016,142 1,016,143 1,016,144 1,016,145 1,016,146 1,016,147 1,016,148 1,016,149

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Properties

Parity: Odd
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 7,316,101
Square (n²): 1,032,534,402,769
Cube (n³): 1,049,196,410,426,483,353
Divisor count: 2
σ(n) — sum of divisors: 1,016,138
φ(n) — Euler's totient: 1,016,136

Primality

1,016,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016137

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,137)

1 × 1016137

First multiples

1,016,137 · 2,032,274 (double) · 3,048,411 · 4,064,548 · 5,080,685 · 6,096,822 · 7,112,959 · 8,129,096 · 9,145,233 · 10,161,370

Sums & aliquot sequence

As a sum of two squares: 456² + 899²

As consecutive integers: 508,068 + 508,069

Continued fraction of √n

√1,016,137 = [1008; (27, 1, 1, 1, 1, 1, 1, 3, 4, 1, 13, 1, 9, 1, 1, 3, 5, 2, 34, 1, 10, 2, 14, 2, …)]

Representations

In words: one million sixteen thousand one hundred thirty-seven
Ordinal: 1016137th
Binary: 11111000000101001001
Octal: 3700511
Hexadecimal: 0xF8149
Base64: D4FJ
One's complement: 4,293,951,158 (32-bit)
Scientific notation: 1.016137 × 10⁶
As a duration: 1,016,137 s = 11 days, 18 hours, 15 minutes, 37 seconds

In other bases

ternary (3) 1220121212201

quaternary (4) 3320011021

quinary (5) 230004022

senary (6) 33440201

septenary (7) 11431333

nonary (9) 1817781

undecimal (11) 634491

duodecimal (12) 410061

tridecimal (13) 297685

tetradecimal (14) 1c6453

pentadecimal (15) 151127

As an angle

1,016,137° = 2,822 × 360° + 217°

217° ≈ 3.787 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千一百三十七
Chinese (financial): 壹佰零壹萬陸仟壹佰參拾柒

In other modern scripts

Eastern Arabic ١٠١٦١٣٧ Devanagari १०१६१३७ Bengali ১০১৬১৩৭ Tamil ௧௦௧௬௧௩௭ Thai ๑๐๑๖๑๓๗ Tibetan ༡༠༡༦༡༣༧ Khmer ១០១៦១៣៧ Lao ໑໐໑໖໑໓໗ Burmese ၁၀၁၆၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,016,123 (gap of 14)
Next prime: 1,016,143 (gap of 6)

Pair status: sexy with 1016143.

Hex color

#0F8149

RGB(15, 129, 73)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.73.

Address: 0.15.129.73
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.129.73

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 6137 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6137-10-01 (MMDYYYY (US, single-digit day))
6137-01-10 (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 1,016,137 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,016,137 on Google Patents ↗ Look up on USPTO ↗