Live analysis

1,042,001

1,042,001 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.).

1,042,001 (one million forty-two thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFE651.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,041,989 1,041,990 1,041,991 1,041,992 1,041,993 1,041,994 1,041,995 1,041,996 1,041,997 1,041,998 1,041,999 1,042,000 1,042,001 1,042,002 1,042,003 1,042,004 1,042,005 1,042,006 1,042,007 1,042,008 1,042,009 1,042,010 1,042,011 1,042,012 1,042,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 1,002,401
Square (n²): 1,085,766,084,001
Cube (n³): 1,131,369,345,295,126,001
Divisor count: 2
σ(n) — sum of divisors: 1,042,002
φ(n) — Euler's totient: 1,042,000

Primality

1,042,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1042001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,042,001)

1 × 1042001

First multiples

1,042,001 · 2,084,002 (double) · 3,126,003 · 4,168,004 · 5,210,005 · 6,252,006 · 7,294,007 · 8,336,008 · 9,378,009 · 10,420,010

Sums & aliquot sequence

As a sum of two squares: 200² + 1,001²

As consecutive integers: 521,000 + 521,001

Continued fraction of √n

√1,042,001 = [1020; (1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 10, 3, 1, 2, 1, 1, 11, 4, 2, 5, 1, 5, 9, …)]

Representations

In words: one million forty-two thousand one
Ordinal: 1042001st
Binary: 11111110011001010001
Octal: 3763121
Hexadecimal: 0xFE651
Base64: D+ZR
One's complement: 4,293,925,294 (32-bit)
Scientific notation: 1.042001 × 10⁶
As a duration: 1,042,001 s = 12 days, 1 hour, 26 minutes, 41 seconds

In other bases

ternary (3) 1221221100122

quaternary (4) 3332121101

quinary (5) 231321001

senary (6) 34200025

septenary (7) 11566622

nonary (9) 1857318

undecimal (11) 651964

duodecimal (12) 423015

tridecimal (13) 2a638c

tetradecimal (14) 1d1a49

pentadecimal (15) 158b1b

As an angle

1,042,001° = 2,894 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓏺
Chinese: 一百零四萬二千零一
Chinese (financial): 壹佰零肆萬貳仟零壹

In other modern scripts

Eastern Arabic ١٠٤٢٠٠١ Devanagari १०४२००१ Bengali ১০৪২০০১ Tamil ௧௦௪௨௦௦௧ Thai ๑๐๔๒๐๐๑ Tibetan ༡༠༤༢༠༠༡ Khmer ១០៤២០០១ Lao ໑໐໔໒໐໐໑ Burmese ၁၀၄၂၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,041,991 (gap of 10)
Next prime: 1,042,021 (gap of 20)

Hex color

#0FE651

RGB(15, 230, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.81.

Address: 0.15.230.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.81

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 2001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2001-04-01 (DMMYYYY (Euro, single-digit day))
2001-10-04 (MMDYYYY (US, single-digit day))
2001-04-10 (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 1,042,001 and was likely granted around 1912.

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

Look up US1,042,001 on Google Patents ↗ Look up on USPTO ↗