Live analysis

1,012,321

1,012,321 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.).

1,012,321 (one million twelve thousand three 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, 0xF7261.

Arithmetic Number Consecutive Digits Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,309 1,012,310 1,012,311 1,012,312 1,012,313 1,012,314 1,012,315 1,012,316 1,012,317 1,012,318 1,012,319 1,012,320 1,012,321 1,012,322 1,012,323 1,012,324 1,012,325 1,012,326 1,012,327 1,012,328 1,012,329 1,012,330 1,012,331 1,012,332 1,012,333

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 1,232,101
Square (n²): 1,024,793,807,041
Cube (n³): 1,037,420,291,537,552,161
Divisor count: 2
σ(n) — sum of divisors: 1,012,322
φ(n) — Euler's totient: 1,012,320

Primality

1,012,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1012321

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,012,321)

1 × 1012321

First multiples

1,012,321 · 2,024,642 (double) · 3,036,963 · 4,049,284 · 5,061,605 · 6,073,926 · 7,086,247 · 8,098,568 · 9,110,889 · 10,123,210

Sums & aliquot sequence

As a sum of two squares: 111² + 1,000²

As consecutive integers: 506,160 + 506,161

Continued fraction of √n

√1,012,321 = [1006; (7, 16, 1, 1, 1, 2, 12, 1, 6, 3, 2, 12, 1, 8, 1, 1, 10, 1, 35, 49, 19, 6, 1, 14, …)]

Representations

In words: one million twelve thousand three hundred twenty-one
Ordinal: 1012321st
Binary: 11110111001001100001
Octal: 3671141
Hexadecimal: 0xF7261
Base64: D3Jh
One's complement: 4,293,954,974 (32-bit)
Scientific notation: 1.012321 × 10⁶
As a duration: 1,012,321 s = 11 days, 17 hours, 12 minutes, 1 second

In other bases

ternary (3) 1220102122101

quaternary (4) 3313021201

quinary (5) 224343241

senary (6) 33410401

septenary (7) 11414242

nonary (9) 1812571

undecimal (11) 631632

duodecimal (12) 409a01

tridecimal (13) 295a0b

tetradecimal (14) 1c4cc9

pentadecimal (15) 14ee31

As an angle

1,012,321° = 2,812 × 360° + 1°

1° ≈ 0.017 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Chinese: 一百零一萬二千三百二十一
Chinese (financial): 壹佰零壹萬貳仟參佰貳拾壹

In other modern scripts

Eastern Arabic ١٠١٢٣٢١ Devanagari १०१२३२१ Bengali ১০১২৩২১ Tamil ௧௦௧௨௩௨௧ Thai ๑๐๑๒๓๒๑ Tibetan ༡༠༡༢༣༢༡ Khmer ១០១២៣២១ Lao ໑໐໑໒໓໒໑ Burmese ၁၀၁၂၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,012,307 (gap of 14)
Next prime: 1,012,369 (gap of 48)

Hex color

#0F7261

RGB(15, 114, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.97.

Address: 0.15.114.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.114.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2321 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2321-10-01 (MMDYYYY (US, single-digit day))
2321-01-10 (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 1,012,321 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 US1,012,321 on Google Patents ↗ Look up on USPTO ↗