Live analysis

33,820

33,820 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.).

33,820 (thirty-three thousand eight hundred twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19 × 89. Its proper divisors sum to 41,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x841C.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

33,808 33,809 33,810 33,811 33,812 33,813 33,814 33,815 33,816 33,817 33,818 33,819 33,820 33,821 33,822 33,823 33,824 33,825 33,826 33,827 33,828 33,829 33,830 33,831 33,832

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Properties

Parity: Even
Digit count: 5
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 16 bits
Reversed: 2,833
Square (n²): 1,143,792,400
Cube (n³): 38,683,058,968,000
Divisor count: 24
σ(n) — sum of divisors: 75,600
φ(n) — Euler's totient: 12,672
Sum of prime factors: 117

Primality

Prime factorization: 2 ² × 5 × 19 × 89

Nearest primes: 33,811 (−9) · 33,827 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 19 · 20 · 38 · 76 · 89 · 95 · 178 · 190 · 356 · 380 · 445 · 890 · 1691 · 1780 · 3382 · 6764 · 8455 · 16910 (half) · 33820

Aliquot sum (sum of proper divisors): 41,780

Factor pairs (a × b = 33,820)

1 × 33820

2 × 16910

4 × 8455

5 × 6764

10 × 3382

19 × 1780

20 × 1691

38 × 890

76 × 445

89 × 380

95 × 356

178 × 190

First multiples

33,820 · 67,640 (double) · 101,460 · 135,280 · 169,100 · 202,920 · 236,740 · 270,560 · 304,380 · 338,200

Sums & aliquot sequence

As consecutive integers: 6,762 + 6,763 + 6,764 + 6,765 + 6,766 4,224 + 4,225 + … + 4,231 1,771 + 1,772 + … + 1,789 826 + 827 + … + 865

Aliquot sequence: 33,820 → 41,780 → 46,000 → 70,064 → 71,296 → 70,994 → 62,062 → 66,962 → 47,854 → 25,154 → 12,580 → 16,148 → 14,764 → 11,080 → 13,940 → 17,812 → 14,304 — unresolved within range

Continued fraction of √n

√33,820 = [183; (1, 9, 4, 1, 1, 3, 1, 72, 1, 3, 1, 1, 4, 9, 1, 366)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: thirty-three thousand eight hundred twenty
Ordinal: 33820th
Binary: 1000010000011100
Octal: 102034
Hexadecimal: 0x841C
Base64: hBw=
One's complement: 31,715 (16-bit)
Scientific notation: 3.382 × 10⁴
As a duration: 33,820 s = 9 hours, 23 minutes, 40 seconds

In other bases

ternary (3) 1201101121

quaternary (4) 20100130

quinary (5) 2040240

senary (6) 420324

septenary (7) 200413

nonary (9) 51347

undecimal (11) 23456

duodecimal (12) 176a4

tridecimal (13) 12517

tetradecimal (14) c47a

pentadecimal (15) a04a

As an angle

33,820° = 93 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵λγωκʹ
Mayan (base 20): 𝋤·𝋤·𝋫·𝋠
Chinese: 三萬三千八百二十
Chinese (financial): 參萬參仟捌佰貳拾

In other modern scripts

Eastern Arabic ٣٣٨٢٠ Devanagari ३३८२० Bengali ৩৩৮২০ Tamil ௩௩௮௨௦ Thai ๓๓๘๒๐ Tibetan ༣༣༨༢༠ Khmer ៣៣៨២០ Lao ໓໓໘໒໐ Burmese ၃၃၈၂၀

Digit at this position in famous constants

π — Pi (π): Digit 33,820 = 8
e — Euler's number (e): Digit 33,820 = 0
φ — Golden ratio (φ): Digit 33,820 = 3
√2 — Pythagoras's (√2): Digit 33,820 = 3
ln 2 — Natural log of 2: Digit 33,820 = 9
γ — Euler-Mascheroni (γ): Digit 33,820 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33820, here are decompositions:

11 + 33809 = 33820
23 + 33797 = 33820
29 + 33791 = 33820
47 + 33773 = 33820
53 + 33767 = 33820
71 + 33749 = 33820
107 + 33713 = 33820
173 + 33647 = 33820

Showing the first eight; more decompositions exist.

Unicode codepoint

萜

CJK Unified Ideograph-841C

U+841C

Other letter (Lo)

UTF-8 encoding: E8 90 9C (3 bytes).

Lookup U+841C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00841C

RGB(0, 132, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.132.28.

Address: 0.0.132.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.132.28

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

Position in π

The digit sequence 33820 first appears in π at position 46,015 of the decimal expansion (the 46,015ordinal-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 33820 on Pi Search ↗