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980,401

980,401 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.).

980,401 (nine hundred eighty thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEF5B1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
104,089
Square (n²)
961,186,120,801
Cube (n³)
942,347,834,019,421,201
Divisor count
2
σ(n) — sum of divisors
980,402
φ(n) — Euler's totient
980,400

Primality

980,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 980401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 980,401)
1 × 980401
First multiples
980,401 · 1,960,802 (double) · 2,941,203 · 3,921,604 · 4,902,005 · 5,882,406 · 6,862,807 · 7,843,208 · 8,823,609 · 9,804,010

Sums & aliquot sequence

As a sum of two squares: 615² + 776²
As consecutive integers: 490,200 + 490,201

Continued fraction of √n

√980,401 = [990; (6, 1, 1, 2, 1, 2, 7, 7, 1, 1, 23, 1, 10, 1, 4, 1, 4, 1, 2, 34, 2, 1, 1, 2, …)]

Representations

In words
nine hundred eighty thousand four hundred one
Ordinal
980401st
Binary
11101111010110110001
Octal
3572661
Hexadecimal
0xEF5B1
Base64
DvWx
One's complement
4,293,986,894 (32-bit)
Scientific notation
9.80401 × 10⁵
As a duration
980,401 s = 11 days, 8 hours, 20 minutes, 1 second
In other bases
ternary (3) 1211210212011
quaternary (4) 3233112301
quinary (5) 222333101
senary (6) 33002521
septenary (7) 11222212
nonary (9) 1753764
undecimal (11) 60a654
duodecimal (12) 3b3441
tridecimal (13) 284326
tetradecimal (14) 1b7409
pentadecimal (15) 145751

As an angle

980,401° = 2,723 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡπυαʹ
Chinese
九十八萬零四百零一
Chinese (financial)
玖拾捌萬零肆佰零壹
In other modern scripts
Eastern Arabic ٩٨٠٤٠١ Devanagari ९८०४०१ Bengali ৯৮০৪০১ Tamil ௯௮௦௪௦௧ Thai ๙๘๐๔๐๑ Tibetan ༩༨༠༤༠༡ Khmer ៩៨០៤០១ Lao ໙໘໐໔໐໑ Burmese ၉၈၀၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0EF5B1
RGB(14, 245, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.245.177.

Address
0.14.245.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.245.177

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 980,401 and was likely granted around 1910.

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

Position in π

The digit sequence 980401 first appears in π at position 933,682 of the decimal expansion (the 933,682ordinal-suffix:nd 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.