Live analysis

978,001

978,001 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.).

978,001 (nine hundred seventy-eight thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEEC51.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

977,989 977,990 977,991 977,992 977,993 977,994 977,995 977,996 977,997 977,998 977,999 978,000 978,001 978,002 978,003 978,004 978,005 978,006 978,007 978,008 978,009 978,010 978,011 978,012 978,013

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 100,879
Square (n²): 956,485,956,001
Cube (n³): 935,444,221,454,934,001
Divisor count: 2
σ(n) — sum of divisors: 978,002
φ(n) — Euler's totient: 978,000

Primality

978,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 978001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 978,001)

1 × 978001

First multiples

978,001 · 1,956,002 (double) · 2,934,003 · 3,912,004 · 4,890,005 · 5,868,006 · 6,846,007 · 7,824,008 · 8,802,009 · 9,780,010

Sums & aliquot sequence

As a sum of two squares: 580² + 801²

As consecutive integers: 489,000 + 489,001

Continued fraction of √n

√978,001 = [988; (1, 15, 2, 14, 17, 7, 1, 2, 3, 4, 4, 33, 3, 2, 14, 4, 1, 1, 26, 1, 10, 1, 7, 3, …)]

Representations

In words: nine hundred seventy-eight thousand one
Ordinal: 978001st
Binary: 11101110110001010001
Octal: 3566121
Hexadecimal: 0xEEC51
Base64: DuxR
One's complement: 4,293,989,294 (32-bit)
Scientific notation: 9.78001 × 10⁵
As a duration: 978,001 s = 11 days, 7 hours, 40 minutes, 1 second

In other bases

ternary (3) 1211200120021

quaternary (4) 3232301101

quinary (5) 222244001

senary (6) 32543441

septenary (7) 11212213

nonary (9) 1750507

undecimal (11) 608872

duodecimal (12) 3b1b81

tridecimal (13) 2831cb

tetradecimal (14) 1b65b3

pentadecimal (15) 144ba1

As an angle

978,001° = 2,716 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian): ͵ϡοηαʹ
Chinese: 九十七萬八千零一
Chinese (financial): 玖拾柒萬捌仟零壹

In other modern scripts

Eastern Arabic ٩٧٨٠٠١ Devanagari ९७८००१ Bengali ৯৭৮০০১ Tamil ௯௭௮௦௦௧ Thai ๙๗๘๐๐๑ Tibetan ༩༧༨༠༠༡ Khmer ៩៧៨០០១ Lao ໙໗໘໐໐໑ Burmese ၉၇၈၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 977,971 (gap of 30)
Next prime: 978,007 (gap of 6)

Pair status: sexy with 978007.

Hex color

#0EEC51

RGB(14, 236, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.236.81.

Address: 0.14.236.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.236.81

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 978,001 and was likely granted around 1910.

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

Look up US978,001 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 978001 first appears in π at position 635,625 of the decimal expansion (the 635,625ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 978001 on Pi Search ↗