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5,488

5,488 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.).

5,488 (five thousand four hundred eighty-eight) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7³. Its proper divisors sum to 6,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1570.

Abundant Number Achilles Number Arithmetic Number Evil Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
25
Digit product
1,280
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
8,845
Recamán's sequence
a(2,720) = 5,488
Square (n²)
30,118,144
Cube (n³)
165,288,374,272
Divisor count
20
σ(n) — sum of divisors
12,400
φ(n) — Euler's totient
2,352
Sum of prime factors
29

Primality

Prime factorization: 2 4 × 7 3

Nearest primes: 5,483 (−5) · 5,501 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 49 · 56 · 98 · 112 · 196 · 343 · 392 · 686 · 784 · 1372 · 2744 (half) · 5488
Aliquot sum (sum of proper divisors): 6,912
Factor pairs (a × b = 5,488)
1 × 5488
2 × 2744
4 × 1372
7 × 784
8 × 686
14 × 392
16 × 343
28 × 196
49 × 112
56 × 98
First multiples
5,488 · 10,976 (double) · 16,464 · 21,952 · 27,440 · 32,928 · 38,416 · 43,904 · 49,392 · 54,880

Sums & aliquot sequence

As a sum of two cubes: 14³ + 14³
As consecutive integers: 781 + 782 + … + 787 156 + 157 + … + 187 88 + 89 + … + 136
Aliquot sequence: 5,488 6,912 13,528 13,472 13,114 7,046 4,378 2,822 1,714 860 988 972 1,576 1,394 874 566 286 — unresolved within range

Continued fraction of √n

√5,488 = [74; (12, 2, 1, 15, 1, 3, 1, 2, 4, 2, 2, 1, 2, 2, 1, 1, 1, 8, 1, 1, 1, 2, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five thousand four hundred eighty-eight
Ordinal
5488th
Binary
1010101110000
Octal
12560
Hexadecimal
0x1570
Base64
FXA=
One's complement
60,047 (16-bit)
Scientific notation
5.488 × 10³
As a duration
5,488 s = 1 hour, 31 minutes, 28 seconds
In other bases
ternary (3) 21112021
quaternary (4) 1111300
quinary (5) 133423
senary (6) 41224
septenary (7) 22000
nonary (9) 7467
undecimal (11) 413a
duodecimal (12) 3214
tridecimal (13) 2662
tetradecimal (14) 2000
pentadecimal (15) 195d
Palindromic in base 13

As an angle

5,488° = 15 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ευπηʹ
Mayan (base 20)
𝋭·𝋮·𝋨
Chinese
五千四百八十八
Chinese (financial)
伍仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ٥٤٨٨ Devanagari ५४८८ Bengali ৫৪৮৮ Tamil ௫௪௮௮ Thai ๕๔๘๘ Tibetan ༥༤༨༨ Khmer ៥៤៨៨ Lao ໕໔໘໘ Burmese ၅၄၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 5,488 = 7
e — Euler's number (e)
Digit 5,488 = 5
φ — Golden ratio (φ)
Digit 5,488 = 0
√2 — Pythagoras's (√2)
Digit 5,488 = 2
ln 2 — Natural log of 2
Digit 5,488 = 0
γ — Euler-Mascheroni (γ)
Digit 5,488 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5488, here are decompositions:

  • 5 + 5483 = 5488
  • 11 + 5477 = 5488
  • 17 + 5471 = 5488
  • 47 + 5441 = 5488
  • 71 + 5417 = 5488
  • 89 + 5399 = 5488
  • 101 + 5387 = 5488
  • 107 + 5381 = 5488

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Tye
U+1570
Other letter (Lo)

UTF-8 encoding: E1 95 B0 (3 bytes).

Hex color
#001570
RGB(0, 21, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.112.

Address
0.0.21.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.21.112

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

Musical pitch

Heard as a frequency, 5,488 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -31¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +6¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -30¢)
Position in π

The digit sequence 5488 first appears in π at position 370 of the decimal expansion (the 370ordinal-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