Live analysis

1,016,051

1,016,051 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.).

1,016,051 (one million sixteen thousand fifty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF80F3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,016,039 1,016,040 1,016,041 1,016,042 1,016,043 1,016,044 1,016,045 1,016,046 1,016,047 1,016,048 1,016,049 1,016,050 1,016,051 1,016,052 1,016,053 1,016,054 1,016,055 1,016,056 1,016,057 1,016,058 1,016,059 1,016,060 1,016,061 1,016,062 1,016,063

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 1,506,101
Recamán's sequence: a(365,889) = 1,016,051
Square (n²): 1,032,359,634,601
Cube (n³): 1,048,930,039,095,980,651
Divisor count: 2
σ(n) — sum of divisors: 1,016,052
φ(n) — Euler's totient: 1,016,050

Primality

1,016,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016051

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,051)

1 × 1016051

First multiples

1,016,051 · 2,032,102 (double) · 3,048,153 · 4,064,204 · 5,080,255 · 6,096,306 · 7,112,357 · 8,128,408 · 9,144,459 · 10,160,510

Sums & aliquot sequence

As consecutive integers: 508,025 + 508,026

Continued fraction of √n

√1,016,051 = [1007; (1, 154, 13, 11, 1, 5, 1, 3, 7, 3, 7, 1, 2, 2, 17, 9, 1, 1, 2, 3, 13, 1, 1, 17, …)]

Representations

In words: one million sixteen thousand fifty-one
Ordinal: 1016051st
Binary: 11111000000011110011
Octal: 3700363
Hexadecimal: 0xF80F3
Base64: D4Dz
One's complement: 4,293,951,244 (32-bit)
Scientific notation: 1.016051 × 10⁶
As a duration: 1,016,051 s = 11 days, 18 hours, 14 minutes, 11 seconds

In other bases

ternary (3) 1220121202112

quaternary (4) 3320003303

quinary (5) 230003201

senary (6) 33435535

septenary (7) 11431151

nonary (9) 1817675

undecimal (11) 634413

duodecimal (12) 40bbab

tridecimal (13) 29761a

tetradecimal (14) 1c63d1

pentadecimal (15) 1510bb

As an angle

1,016,051° = 2,822 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百零一萬六千零五十一
Chinese (financial): 壹佰零壹萬陸仟零伍拾壹

In other modern scripts

Eastern Arabic ١٠١٦٠٥١ Devanagari १०१६०५१ Bengali ১০১৬০৫১ Tamil ௧௦௧௬௦௫௧ Thai ๑๐๑๖๐๕๑ Tibetan ༡༠༡༦༠༥༡ Khmer ១០១៦០៥១ Lao ໑໐໑໖໐໕໑ Burmese ၁၀၁၆၀၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,016,033 (gap of 18)
Next prime: 1,016,053 (gap of 2)

Pair status: twin with 1016053.

Hex color

#0F80F3

RGB(15, 128, 243)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.243.

Address: 0.15.128.243
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.128.243

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 6051 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6051-10-01 (MMDYYYY (US, single-digit day))
6051-01-10 (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 1,016,051 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 US1,016,051 on Google Patents ↗ Look up on USPTO ↗