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Number

54,401

54,401 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
10,445
Recamán's sequence
a(59,918) = 54,401
Square (n²)
2,959,468,801
Cube (n³)
160,998,062,243,201
Divisor count
2
σ(n) — sum of divisors
54,402
φ(n) — Euler's totient
54,400

Primality

54,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 54401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 54,401)
1 × 54401
First multiples
54,401 · 108,802 (double) · 163,203 · 217,604 · 272,005 · 326,406 · 380,807 · 435,208 · 489,609 · 544,010

Sums & aliquot sequence

As a sum of two squares: 65² + 224²
As consecutive integers: 27,200 + 27,201

Representations

In words
fifty-four thousand four hundred one
Ordinal
54401st
Binary
1101010010000001
Octal
152201
Hexadecimal
0xD481
Base64
1IE=
One's complement
11,134 (16-bit)
In other bases
ternary (3) 2202121212
quaternary (4) 31102001
quinary (5) 3220101
senary (6) 1055505
septenary (7) 314414
nonary (9) 82555
undecimal (11) 37966
duodecimal (12) 27595
tridecimal (13) 1b9b9
tetradecimal (14) 15b7b
pentadecimal (15) 111bb

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵νδυαʹ
Mayan (base 20)
𝋦·𝋰·𝋠·𝋡
Chinese
五萬四千四百零一
Chinese (financial)
伍萬肆仟肆佰零壹
In other modern scripts
Eastern Arabic ٥٤٤٠١ Devanagari ५४४०१ Bengali ৫৪৪০১ Tamil ௫௪௪௦௧ Thai ๕๔๔๐๑ Tibetan ༥༤༤༠༡ Khmer ៥៤៤០១ Lao ໕໔໔໐໑ Burmese ၅၄၄၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 54,401 = 5
e — Euler's number (e)
Digit 54,401 = 9
φ — Golden ratio (φ)
Digit 54,401 = 0
√2 — Pythagoras's (√2)
Digit 54,401 = 2
ln 2 — Natural log of 2
Digit 54,401 = 2
γ — Euler-Mascheroni (γ)
Digit 54,401 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 54,377 (gap of 24)
  • Next prime: 54,403 (gap of 2)

Pair status: twin with 54403.

Unicode codepoint
Hangul Syllable Pulg
U+D481
Other letter (Lo)

UTF-8 encoding: ED 92 81 (3 bytes).

Hex color
#00D481
RGB(0, 212, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.212.129.

Address
0.0.212.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.212.129

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

Position in π

The digit sequence 54401 first appears in π at position 228,809 of the decimal expansion (the 228,809ordinal-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.