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5,978

5,978 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.).

5,978 (five thousand nine hundred seventy-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 61. Written other ways, in hexadecimal, 0x175A.

Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
29
Digit product
2,520
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
8,795
Recamán's sequence
a(12,807) = 5,978
Square (n²)
35,736,484
Cube (n³)
213,632,701,352
Divisor count
12
σ(n) — sum of divisors
10,602
φ(n) — Euler's totient
2,520
Sum of prime factors
77

Primality

Prime factorization: 2 × 7 2 × 61

Nearest primes: 5,953 (−25) · 5,981 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 14 · 49 · 61 · 98 · 122 · 427 · 854 · 2989 (half) · 5978
Aliquot sum (sum of proper divisors): 4,624
Factor pairs (a × b = 5,978)
1 × 5978
2 × 2989
7 × 854
14 × 427
49 × 122
61 × 98
First multiples
5,978 · 11,956 (double) · 17,934 · 23,912 · 29,890 · 35,868 · 41,846 · 47,824 · 53,802 · 59,780

Sums & aliquot sequence

As a sum of two squares: 7² + 77²
As consecutive integers: 1,493 + 1,494 + 1,495 + 1,496 851 + 852 + … + 857 200 + 201 + … + 227 98 + 99 + … + 146
Aliquot sequence: 5,978 4,624 4,893 2,595 1,581 723 245 97 1 0 — terminates at zero

Continued fraction of √n

√5,978 = [77; (3, 6, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 3, 2, 1, 6, 3, 154)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
five thousand nine hundred seventy-eight
Ordinal
5978th
Binary
1011101011010
Octal
13532
Hexadecimal
0x175A
Base64
F1o=
One's complement
59,557 (16-bit)
Scientific notation
5.978 × 10³
As a duration
5,978 s = 1 hour, 39 minutes, 38 seconds
In other bases
ternary (3) 22012102
quaternary (4) 1131122
quinary (5) 142403
senary (6) 43402
septenary (7) 23300
nonary (9) 8172
undecimal (11) 4545
duodecimal (12) 3562
tridecimal (13) 294b
tetradecimal (14) 2270
pentadecimal (15) 1b88

As an angle

5,978° = 16 × 360° + 218°
218° ≈ 3.805 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εϡοηʹ
Mayan (base 20)
𝋮·𝋲·𝋲
Chinese
五千九百七十八
Chinese (financial)
伍仟玖佰柒拾捌
In other modern scripts
Eastern Arabic ٥٩٧٨ Devanagari ५९७८ Bengali ৫৯৭৮ Tamil ௫௯௭௮ Thai ๕๙๗๘ Tibetan ༥༩༧༨ Khmer ៥៩៧៨ Lao ໕໙໗໘ Burmese ၅၉၇၈

Digit at this position in famous constants

π — Pi (π)
Digit 5,978 = 3
e — Euler's number (e)
Digit 5,978 = 8
φ — Golden ratio (φ)
Digit 5,978 = 5
√2 — Pythagoras's (√2)
Digit 5,978 = 6
ln 2 — Natural log of 2
Digit 5,978 = 7
γ — Euler-Mascheroni (γ)
Digit 5,978 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5978, here are decompositions:

  • 97 + 5881 = 5978
  • 109 + 5869 = 5978
  • 127 + 5851 = 5978
  • 139 + 5839 = 5978
  • 151 + 5827 = 5978
  • 157 + 5821 = 5978
  • 199 + 5779 = 5978
  • 229 + 5749 = 5978

Showing the first eight; more decompositions exist.

Hex color
#00175A
RGB(0, 23, 90)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.90.

Address
0.0.23.90
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.90

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

Musical pitch

Heard as a frequency, 5,978 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +17¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -45¢ — about midway to F♯8)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +18¢)
Position in π

The digit sequence 5978 first appears in π at position 2,164 of the decimal expansion (the 2,164ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.