Live analysis

1,002,721

1,002,721 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.).

1,002,721 (one million two thousand seven hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4CE1.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,709 1,002,710 1,002,711 1,002,712 1,002,713 1,002,714 1,002,715 1,002,716 1,002,717 1,002,718 1,002,719 1,002,720 1,002,721 1,002,722 1,002,723 1,002,724 1,002,725 1,002,726 1,002,727 1,002,728 1,002,729 1,002,730 1,002,731 1,002,732 1,002,733

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,272,001
Square (n²): 1,005,449,403,841
Cube (n³): 1,008,185,231,668,851,361
Divisor count: 2
σ(n) — sum of divisors: 1,002,722
φ(n) — Euler's totient: 1,002,720

Primality

1,002,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002721

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,721)

1 × 1002721

First multiples

1,002,721 · 2,005,442 (double) · 3,008,163 · 4,010,884 · 5,013,605 · 6,016,326 · 7,019,047 · 8,021,768 · 9,024,489 · 10,027,210

Sums & aliquot sequence

As a sum of two squares: 439² + 900²

As consecutive integers: 501,360 + 501,361

Continued fraction of √n

√1,002,721 = [1001; (2, 1, 3, 1, 1, 3, 4, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 2, 1, 7, 3, 7, 3, 1, …)]

Representations

In words: one million two thousand seven hundred twenty-one
Ordinal: 1002721st
Binary: 11110100110011100001
Octal: 3646341
Hexadecimal: 0xF4CE1
Base64: D0zh
One's complement: 4,293,964,574 (32-bit)
Scientific notation: 1.002721 × 10⁶
As a duration: 1,002,721 s = 11 days, 14 hours, 32 minutes, 1 second

In other bases

ternary (3) 1212221110211

quaternary (4) 3310303201

quinary (5) 224041341

senary (6) 33254121

septenary (7) 11344246

nonary (9) 1787424

undecimal (11) 6253a5

duodecimal (12) 404341

tridecimal (13) 291535

tetradecimal (14) 1c15cd

pentadecimal (15) 14c181

As an angle

1,002,721° = 2,785 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese: 一百萬二千七百二十一
Chinese (financial): 壹佰萬貳仟柒佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٠٢٧٢١ Devanagari १००२७२१ Bengali ১০০২৭২১ Tamil ௧௦௦௨௭௨௧ Thai ๑๐๐๒๗๒๑ Tibetan ༡༠༠༢༧༢༡ Khmer ១០០២៧២១ Lao ໑໐໐໒໗໒໑ Burmese ၁၀၀၂၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,719 (gap of 2)
Next prime: 1,002,739 (gap of 18)

Pair status: twin with 1002719.

Hex color

#0F4CE1

RGB(15, 76, 225)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.225.

Address: 0.15.76.225
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.225

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

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 1,002,721 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 US1,002,721 on Google Patents ↗ Look up on USPTO ↗