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Number

55,901

55,901 is a prime, odd.

55,901 (fifty-five thousand nine hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xDA5D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
10,955
Recamán's sequence
a(292,018) = 55,901
Square (n²)
3,124,921,801
Cube (n³)
174,686,253,597,701
Divisor count
2
σ(n) — sum of divisors
55,902
φ(n) — Euler's totient
55,900

Primality

55,901 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 55901
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 55,901)
1 × 55901
First multiples
55,901 · 111,802 (double) · 167,703 · 223,604 · 279,505 · 335,406 · 391,307 · 447,208 · 503,109 · 559,010

Sums & aliquot sequence

As a sum of two squares: 26² + 235²
As consecutive integers: 27,950 + 27,951

Continued fraction of √n

√55,901 = [236; (2, 3, 3, 1, 1, 8, 1, 1, 8, 1, 1, 3, 3, 2, 472)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
fifty-five thousand nine hundred one
Ordinal
55901st
Binary
1101101001011101
Octal
155135
Hexadecimal
0xDA5D
Base64
2l0=
One's complement
9,634 (16-bit)
Scientific notation
5.5901 × 10⁴
As a duration
55,901 s = 15 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 2211200102
quaternary (4) 31221131
quinary (5) 3242101
senary (6) 1110445
septenary (7) 321656
nonary (9) 84612
undecimal (11) 38aaa
duodecimal (12) 28425
tridecimal (13) 1c5a1
tetradecimal (14) 1652d
pentadecimal (15) 1186b

As an angle

55,901° = 155 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵νεϡαʹ
Mayan (base 20)
𝋦·𝋳·𝋯·𝋡
Chinese
五萬五千九百零一
Chinese (financial)
伍萬伍仟玖佰零壹
In other modern scripts
Eastern Arabic ٥٥٩٠١ Devanagari ५५९०१ Bengali ৫৫৯০১ Tamil ௫௫௯௦௧ Thai ๕๕๙๐๑ Tibetan ༥༥༩༠༡ Khmer ៥៥៩០១ Lao ໕໕໙໐໑ Burmese ၅၅၉၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 55,901 = 7
e — Euler's number (e)
Digit 55,901 = 5
φ — Golden ratio (φ)
Digit 55,901 = 7
√2 — Pythagoras's (√2)
Digit 55,901 = 9
ln 2 — Natural log of 2
Digit 55,901 = 4
γ — Euler-Mascheroni (γ)
Digit 55,901 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 55,897 (gap of 4)
  • Next prime: 55,903 (gap of 2)

Pair status: twin with 55903, cousin with 55897.

Hex color
#00DA5D
RGB(0, 218, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.218.93.

Address
0.0.218.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.218.93

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

Position in π

The digit sequence 55901 first appears in π at position 95,742 of the decimal expansion (the 95,742ordinal-suffix:nd 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.