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33,980

33,980 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
8,933
Recamán's sequence
a(15,903) = 33,980
Square (n²)
1,154,640,400
Cube (n³)
39,234,680,792,000
Divisor count
12
σ(n) — sum of divisors
71,400
φ(n) — Euler's totient
13,584
Sum of prime factors
1,708

Primality

Prime factorization: 2 2 × 5 × 1699

Nearest primes: 33,967 (−13) · 33,997 (+17)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 1699 · 3398 · 6796 · 8495 · 16990 (half) · 33980
Aliquot sum (sum of proper divisors): 37,420
Factor pairs (a × b = 33,980)
1 × 33980
2 × 16990
4 × 8495
5 × 6796
10 × 3398
20 × 1699
First multiples
33,980 · 67,960 (double) · 101,940 · 135,920 · 169,900 · 203,880 · 237,860 · 271,840 · 305,820 · 339,800

Sums & aliquot sequence

As consecutive integers: 6,794 + 6,795 + 6,796 + 6,797 + 6,798 4,244 + 4,245 + … + 4,251 830 + 831 + … + 869
Aliquot sequence: 33,980 37,420 41,204 30,910 30,002 21,454 12,674 6,340 7,016 6,154 3,674 2,374 1,190 1,402 704 820 944 — unresolved within range

Representations

In words
thirty-three thousand nine hundred eighty
Ordinal
33980th
Binary
1000010010111100
Octal
102274
Hexadecimal
0x84BC
Base64
hLw=
One's complement
31,555 (16-bit)
In other bases
ternary (3) 1201121112
quaternary (4) 20102330
quinary (5) 2041410
senary (6) 421152
septenary (7) 201032
nonary (9) 51545
undecimal (11) 23591
duodecimal (12) 177b8
tridecimal (13) 1260b
tetradecimal (14) c552
pentadecimal (15) a105

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λγϡπʹ
Mayan (base 20)
𝋤·𝋤·𝋳·𝋠
Chinese
三萬三千九百八十
Chinese (financial)
參萬參仟玖佰捌拾
In other modern scripts
Eastern Arabic ٣٣٩٨٠ Devanagari ३३९८० Bengali ৩৩৯৮০ Tamil ௩௩௯௮௦ Thai ๓๓๙๘๐ Tibetan ༣༣༩༨༠ Khmer ៣៣៩៨០ Lao ໓໓໙໘໐ Burmese ၃၃၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 33,980 = 5
e — Euler's number (e)
Digit 33,980 = 0
φ — Golden ratio (φ)
Digit 33,980 = 2
√2 — Pythagoras's (√2)
Digit 33,980 = 6
ln 2 — Natural log of 2
Digit 33,980 = 8
γ — Euler-Mascheroni (γ)
Digit 33,980 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 33980, here are decompositions:

  • 13 + 33967 = 33980
  • 19 + 33961 = 33980
  • 43 + 33937 = 33980
  • 109 + 33871 = 33980
  • 151 + 33829 = 33980
  • 211 + 33769 = 33980
  • 223 + 33757 = 33980
  • 229 + 33751 = 33980

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-84Bc
U+84BC
Other letter (Lo)

UTF-8 encoding: E8 92 BC (3 bytes).

Hex color
#0084BC
RGB(0, 132, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.132.188.

Address
0.0.132.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.132.188

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

Position in π

The digit sequence 33980 first appears in π at position 119,274 of the decimal expansion (the 119,274ordinal-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.