Live analysis

55,332

55,332 is a composite number, even.

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.).

55,332 (fifty-five thousand three hundred thirty-two) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 53. Its proper divisors sum to 92,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD824.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

55,320 55,321 55,322 55,323 55,324 55,325 55,326 55,327 55,328 55,329 55,330 55,331 55,332 55,333 55,334 55,335 55,336 55,337 55,338 55,339 55,340 55,341 55,342 55,343 55,344

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 450
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 23,355
Recamán's sequence: a(140,891) = 55,332
Square (n²): 3,061,630,224
Cube (n³): 169,406,123,554,368
Divisor count: 36
σ(n) — sum of divisors: 147,420
φ(n) — Euler's totient: 17,472
Sum of prime factors: 92

Primality

Prime factorization: 2 ² × 3 ² × 29 × 53

Nearest primes: 55,331 (−1) · 55,333 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 53 · 58 · 87 · 106 · 116 · 159 · 174 · 212 · 261 · 318 · 348 · 477 · 522 · 636 · 954 · 1044 · 1537 · 1908 · 3074 · 4611 · 6148 · 9222 · 13833 · 18444 · 27666 (half) · 55332

Aliquot sum (sum of proper divisors): 92,088

Factor pairs (a × b = 55,332)

1 × 55332

2 × 27666

3 × 18444

4 × 13833

6 × 9222

9 × 6148

12 × 4611

18 × 3074

29 × 1908

36 × 1537

53 × 1044

58 × 954

87 × 636

106 × 522

116 × 477

159 × 348

174 × 318

212 × 261

First multiples

55,332 · 110,664 (double) · 165,996 · 221,328 · 276,660 · 331,992 · 387,324 · 442,656 · 497,988 · 553,320

Sums & aliquot sequence

As a sum of two squares: 24² + 234² = 144² + 186²

As consecutive integers: 18,443 + 18,444 + 18,445 6,913 + 6,914 + … + 6,920 6,144 + 6,145 + … + 6,152 2,294 + 2,295 + … + 2,317

Aliquot sequence: 55,332 → 92,088 → 157,512 → 236,328 → 370,872 → 730,728 → 1,429,272 → 2,854,728 → 5,132,472 → 7,865,928 → 16,482,552 → 24,723,888 → 48,271,440 → 126,003,120 → 264,607,296 → 435,500,016 → 925,912,848 — unresolved within range

Continued fraction of √n

√55,332 = [235; (4, 2, 1, 1, 6, 1, 7, 9, 2, 9, 7, 1, 6, 1, 1, 2, 4, 470)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: fifty-five thousand three hundred thirty-two
Ordinal: 55332nd
Binary: 1101100000100100
Octal: 154044
Hexadecimal: 0xD824
Base64: 2CQ=
One's complement: 10,203 (16-bit)
Scientific notation: 5.5332 × 10⁴
As a duration: 55,332 s = 15 hours, 22 minutes, 12 seconds

In other bases

ternary (3) 2210220100

quaternary (4) 31200210

quinary (5) 3232312

senary (6) 1104100

septenary (7) 320214

nonary (9) 83810

undecimal (11) 38632

duodecimal (12) 28030

tridecimal (13) 1c254

tetradecimal (14) 16244

pentadecimal (15) 115dc

As an angle

55,332° = 153 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵νετλβʹ
Mayan (base 20): 𝋦·𝋲·𝋦·𝋬
Chinese: 五萬五千三百三十二
Chinese (financial): 伍萬伍仟參佰參拾貳

In other modern scripts

Eastern Arabic ٥٥٣٣٢ Devanagari ५५३३२ Bengali ৫৫৩৩২ Tamil ௫௫௩௩௨ Thai ๕๕๓๓๒ Tibetan ༥༥༣༣༢ Khmer ៥៥៣៣២ Lao ໕໕໓໓໒ Burmese ၅၅၃၃၂

Digit at this position in famous constants

π — Pi (π): Digit 55,332 = 6
e — Euler's number (e): Digit 55,332 = 1
φ — Golden ratio (φ): Digit 55,332 = 7
√2 — Pythagoras's (√2): Digit 55,332 = 8
ln 2 — Natural log of 2: Digit 55,332 = 1
γ — Euler-Mascheroni (γ): Digit 55,332 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55332, here are decompositions:

19 + 55313 = 55332
41 + 55291 = 55332
73 + 55259 = 55332
83 + 55249 = 55332
89 + 55243 = 55332
103 + 55229 = 55332
113 + 55219 = 55332
131 + 55201 = 55332

Showing the first eight; more decompositions exist.

Hex color

#00D824

RGB(0, 216, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.216.36.

Address: 0.0.216.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.216.36

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

Position in π

The digit sequence 55332 first appears in π at position 171,550 of the decimal expansion (the 171,550ordinal-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.

Look up 55332 on Pi Search ↗