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966,401

966,401 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.).

966,401 (nine hundred sixty-six 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, 0xEBF01.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
104,669
Square (n²)
933,930,892,801
Cube (n³)
902,551,748,733,779,201
Divisor count
2
σ(n) — sum of divisors
966,402
φ(n) — Euler's totient
966,400

Primality

966,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 966401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 966,401)
1 × 966401
First multiples
966,401 · 1,932,802 (double) · 2,899,203 · 3,865,604 · 4,832,005 · 5,798,406 · 6,764,807 · 7,731,208 · 8,697,609 · 9,664,010

Sums & aliquot sequence

As a sum of two squares: 665² + 724²
As consecutive integers: 483,200 + 483,201

Continued fraction of √n

√966,401 = [983; (17, 1, 1, 4, 8, 6, 1, 9, 49, 19, 2, 4, 7, 5, 11, 24, 1, 3, 1, 21, 3, 2, 2, 2, …)]

Representations

In words
nine hundred sixty-six thousand four hundred one
Ordinal
966401st
Binary
11101011111100000001
Octal
3537401
Hexadecimal
0xEBF01
Base64
Dr8B
One's complement
4,294,000,894 (32-bit)
Scientific notation
9.66401 × 10⁵
As a duration
966,401 s = 11 days, 4 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 1211002122122
quaternary (4) 3223330001
quinary (5) 221411101
senary (6) 32414025
septenary (7) 11133332
nonary (9) 1732578
undecimal (11) 600087
duodecimal (12) 3a7315
tridecimal (13) 27ab47
tetradecimal (14) 1b2289
pentadecimal (15) 14151b

As an angle

966,401° = 2,684 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡξϛυαʹ
Chinese
九十六萬六千四百零一
Chinese (financial)
玖拾陸萬陸仟肆佰零壹
In other modern scripts
Eastern Arabic ٩٦٦٤٠١ Devanagari ९६६४०१ Bengali ৯৬৬৪০১ Tamil ௯௬௬௪௦௧ Thai ๙๖๖๔๐๑ Tibetan ༩༦༦༤༠༡ Khmer ៩៦៦៤០១ Lao ໙໖໖໔໐໑ Burmese ၉၆၆၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0EBF01
RGB(14, 191, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.191.1.

Address
0.14.191.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.191.1

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 966,401 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 966401 first appears in π at position 58,428 of the decimal expansion (the 58,428ordinal-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.

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.