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948,401

948,401 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.).

948,401 (nine hundred forty-eight 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, 0xE78B1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
104,849
Square (n²)
899,464,456,801
Cube (n³)
853,052,990,294,525,201
Divisor count
2
σ(n) — sum of divisors
948,402
φ(n) — Euler's totient
948,400

Primality

948,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 948401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 948,401)
1 × 948401
First multiples
948,401 · 1,896,802 (double) · 2,845,203 · 3,793,604 · 4,742,005 · 5,690,406 · 6,638,807 · 7,587,208 · 8,535,609 · 9,484,010

Sums & aliquot sequence

As a sum of two squares: 620² + 751²
As consecutive integers: 474,200 + 474,201

Continued fraction of √n

√948,401 = [973; (1, 6, 12, 32, 1, 13, 4, 21, 1, 1, 1, 3, 3, 29, 1, 1, 1, 14, 1, 1, 4, 6, 24, 5, …)]

Representations

In words
nine hundred forty-eight thousand four hundred one
Ordinal
948401st
Binary
11100111100010110001
Octal
3474261
Hexadecimal
0xE78B1
Base64
Dnix
One's complement
4,294,018,894 (32-bit)
Scientific notation
9.48401 × 10⁵
As a duration
948,401 s = 10 days, 23 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 1210011221222
quaternary (4) 3213202301
quinary (5) 220322101
senary (6) 32154425
septenary (7) 11030006
nonary (9) 1704858
undecimal (11) 598603
duodecimal (12) 398a15
tridecimal (13) 2728ac
tetradecimal (14) 1a98ad
pentadecimal (15) 13b01b

As an angle

948,401° = 2,634 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡμηυαʹ
Chinese
九十四萬八千四百零一
Chinese (financial)
玖拾肆萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ٩٤٨٤٠١ Devanagari ९४८४०१ Bengali ৯৪৮৪০১ Tamil ௯௪௮௪௦௧ Thai ๙๔๘๔๐๑ Tibetan ༩༤༨༤༠༡ Khmer ៩៤៨៤០១ Lao ໙໔໘໔໐໑ Burmese ၉၄၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 948403.

Hex color
#0E78B1
RGB(14, 120, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.120.177.

Address
0.14.120.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.120.177

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 948,401 and was likely granted around 1909.

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

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.