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961,601

961,601 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.).

961,601 (nine hundred sixty-one thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEAC41.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
106,169
Flips to (rotate 180°)
109,196
Square (n²)
924,676,483,201
Cube (n³)
889,169,830,922,564,801
Divisor count
2
σ(n) — sum of divisors
961,602
φ(n) — Euler's totient
961,600

Primality

961,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 961601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 961,601)
1 × 961601
First multiples
961,601 · 1,923,202 (double) · 2,884,803 · 3,846,404 · 4,808,005 · 5,769,606 · 6,731,207 · 7,692,808 · 8,654,409 · 9,616,010

Sums & aliquot sequence

As a sum of two squares: 95² + 976²
As consecutive integers: 480,800 + 480,801

Continued fraction of √n

√961,601 = [980; (1, 1, 1, 1, 2, 1, 1, 2, 2, 14, 1, 9, 3, 391, 1, 11, 1, 9, 1, 1, 3, 2, 1, 3, …)]

Representations

In words
nine hundred sixty-one thousand six hundred one
Ordinal
961601st
Binary
11101010110001000001
Octal
3526101
Hexadecimal
0xEAC41
Base64
DqxB
One's complement
4,294,005,694 (32-bit)
Scientific notation
9.61601 × 10⁵
As a duration
961,601 s = 11 days, 3 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 1210212001212
quaternary (4) 3222301001
quinary (5) 221232401
senary (6) 32335505
septenary (7) 11113334
nonary (9) 1725055
undecimal (11) 5a7513
duodecimal (12) 3a4595
tridecimal (13) 2788c4
tetradecimal (14) 1b061b
pentadecimal (15) 13edbb

As an angle

961,601° = 2,671 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡξαχαʹ
Chinese
九十六萬一千六百零一
Chinese (financial)
玖拾陸萬壹仟陸佰零壹
In other modern scripts
Eastern Arabic ٩٦١٦٠١ Devanagari ९६१६०१ Bengali ৯৬১৬০১ Tamil ௯௬௧௬௦௧ Thai ๙๖๑๖๐๑ Tibetan ༩༦༡༦༠༡ Khmer ៩៦១៦០១ Lao ໙໖໑໖໐໑ Burmese ၉၆၁၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0EAC41
RGB(14, 172, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.172.65.

Address
0.14.172.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.172.65

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 961,601 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 961601 first appears in π at position 929,500 of the decimal expansion (the 929,500ordinal-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.