Live analysis

1,016,401

1,016,401 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.).

1,016,401 (one million sixteen thousand four hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF8251.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,016,389 1,016,390 1,016,391 1,016,392 1,016,393 1,016,394 1,016,395 1,016,396 1,016,397 1,016,398 1,016,399 1,016,400 1,016,401 1,016,402 1,016,403 1,016,404 1,016,405 1,016,406 1,016,407 1,016,408 1,016,409 1,016,410 1,016,411 1,016,412 1,016,413

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,046,101
Square (n²): 1,033,070,992,801
Cube (n³): 1,050,014,390,153,929,201
Divisor count: 2
σ(n) — sum of divisors: 1,016,402
φ(n) — Euler's totient: 1,016,400

Primality

1,016,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1016401

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,016,401)

1 × 1016401

First multiples

1,016,401 · 2,032,802 (double) · 3,049,203 · 4,065,604 · 5,082,005 · 6,098,406 · 7,114,807 · 8,131,208 · 9,147,609 · 10,164,010

Sums & aliquot sequence

As a sum of two squares: 120² + 1,001²

As consecutive integers: 508,200 + 508,201

Continued fraction of √n

√1,016,401 = [1008; (5, 1, 56, 1, 3, 2, 7, 2, 2, 27, 1, 1, 2, 87, 3, 1, 2, 1, 2, 3, 2, 4, 1, 4, …)]

Representations

In words: one million sixteen thousand four hundred one
Ordinal: 1016401st
Binary: 11111000001001010001
Octal: 3701121
Hexadecimal: 0xF8251
Base64: D4JR
One's complement: 4,293,950,894 (32-bit)
Scientific notation: 1.016401 × 10⁶
As a duration: 1,016,401 s = 11 days, 18 hours, 20 minutes, 1 second

In other bases

ternary (3) 1220122020111

quaternary (4) 3320021101

quinary (5) 230011101

senary (6) 33441321

septenary (7) 11432161

nonary (9) 1818214

undecimal (11) 634701

duodecimal (12) 410241

tridecimal (13) 297829

tetradecimal (14) 1c65a1

pentadecimal (15) 151251

As an angle

1,016,401° = 2,823 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese: 一百零一萬六千四百零一
Chinese (financial): 壹佰零壹萬陸仟肆佰零壹

In other modern scripts

Eastern Arabic ١٠١٦٤٠١ Devanagari १०१६४०१ Bengali ১০১৬৪০১ Tamil ௧௦௧௬௪௦௧ Thai ๑๐๑๖๔๐๑ Tibetan ༡༠༡༦༤༠༡ Khmer ១០១៦៤០១ Lao ໑໐໑໖໔໐໑ Burmese ၁၀၁၆၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,016,399 (gap of 2)
Next prime: 1,016,419 (gap of 18)

Pair status: twin with 1016399.

Hex color

#0F8251

RGB(15, 130, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.81.

Address: 0.15.130.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.81

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6401 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6401-10-01 (MMDYYYY (US, single-digit day))
6401-01-10 (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 1,016,401 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 US1,016,401 on Google Patents ↗ Look up on USPTO ↗