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Number

40,961

40,961 is a prime, odd.

Arithmetic Number Balanced Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
16,904
Recamán's sequence
a(152,257) = 40,961
Square (n²)
1,677,803,521
Cube (n³)
68,724,510,023,681
Divisor count
2
σ(n) — sum of divisors
40,962
φ(n) — Euler's totient
40,960

Primality

40,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,961)
1 × 40961
First multiples
40,961 · 81,922 (double) · 122,883 · 163,844 · 204,805 · 245,766 · 286,727 · 327,688 · 368,649 · 409,610

Sums & aliquot sequence

As a sum of two squares: 31² + 200²
As consecutive integers: 20,480 + 20,481

Representations

In words
forty thousand nine hundred sixty-one
Ordinal
40961st
Binary
1010000000000001
Octal
120001
Hexadecimal
0xA001
Base64
oAE=
One's complement
24,574 (16-bit)
In other bases
ternary (3) 2002012002
quaternary (4) 22000001
quinary (5) 2302321
senary (6) 513345
septenary (7) 230264
nonary (9) 62162
undecimal (11) 28858
duodecimal (12) 1b855
tridecimal (13) 1584b
tetradecimal (14) 10cdb
pentadecimal (15) c20b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵μϡξαʹ
Mayan (base 20)
𝋥·𝋢·𝋨·𝋡
Chinese
四萬零九百六十一
Chinese (financial)
肆萬零玖佰陸拾壹
In other modern scripts
Eastern Arabic ٤٠٩٦١ Devanagari ४०९६१ Bengali ৪০৯৬১ Tamil ௪௦௯௬௧ Thai ๔๐๙๖๑ Tibetan ༤༠༩༦༡ Khmer ៤០៩៦១ Lao ໔໐໙໖໑ Burmese ၄၀၉၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 40,961 = 8
e — Euler's number (e)
Digit 40,961 = 0
φ — Golden ratio (φ)
Digit 40,961 = 5
√2 — Pythagoras's (√2)
Digit 40,961 = 5
ln 2 — Natural log of 2
Digit 40,961 = 5
γ — Euler-Mascheroni (γ)
Digit 40,961 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,949 (gap of 12)
  • Next prime: 40,973 (gap of 12)
Unicode codepoint
Yi Syllable IX
U+A001
Other letter (Lo)

UTF-8 encoding: EA 80 81 (3 bytes).

Hex color
#00A001
RGB(0, 160, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.160.1.

Address
0.0.160.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.160.1

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 40961 first appears in π at position 137,823 of the decimal expansion (the 137,823ordinal-suffix:rd 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.