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Number

40,801

40,801 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
10,804
Recamán's sequence
a(152,577) = 40,801
Square (n²)
1,664,721,601
Cube (n³)
67,922,306,042,401
Divisor count
2
σ(n) — sum of divisors
40,802
φ(n) — Euler's totient
40,800

Primality

40,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 40801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 40,801)
1 × 40801
First multiples
40,801 · 81,602 (double) · 122,403 · 163,204 · 204,005 · 244,806 · 285,607 · 326,408 · 367,209 · 408,010

Sums & aliquot sequence

As a sum of two squares: 20² + 201²
As consecutive integers: 20,400 + 20,401

Representations

In words
forty thousand eight hundred one
Ordinal
40801st
Binary
1001111101100001
Octal
117541
Hexadecimal
0x9F61
Base64
n2E=
One's complement
24,734 (16-bit)
In other bases
ternary (3) 2001222011
quaternary (4) 21331201
quinary (5) 2301201
senary (6) 512521
septenary (7) 226645
nonary (9) 61864
undecimal (11) 28722
duodecimal (12) 1b741
tridecimal (13) 15757
tetradecimal (14) 10c25
pentadecimal (15) c151

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵μωαʹ
Mayan (base 20)
𝋥·𝋢·𝋠·𝋡
Chinese
四萬零八百零一
Chinese (financial)
肆萬零捌佰零壹
In other modern scripts
Eastern Arabic ٤٠٨٠١ Devanagari ४०८०१ Bengali ৪০৮০১ Tamil ௪௦௮௦௧ Thai ๔๐๘๐๑ Tibetan ༤༠༨༠༡ Khmer ៤០៨០១ Lao ໔໐໘໐໑ Burmese ၄၀၈၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 40,801 = 5
e — Euler's number (e)
Digit 40,801 = 6
φ — Golden ratio (φ)
Digit 40,801 = 1
√2 — Pythagoras's (√2)
Digit 40,801 = 5
ln 2 — Natural log of 2
Digit 40,801 = 5
γ — Euler-Mascheroni (γ)
Digit 40,801 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 40,787 (gap of 14)
  • Next prime: 40,813 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-9F61
U+9F61
Other letter (Lo)

UTF-8 encoding: E9 BD A1 (3 bytes).

Hex color
#009F61
RGB(0, 159, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.159.97.

Address
0.0.159.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.159.97

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

Position in π

The digit sequence 40801 first appears in π at position 69,846 of the decimal expansion (the 69,846ordinal-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.