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5,526

5,526 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.).

5,526 (five thousand five hundred twenty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 307. Its proper divisors sum to 6,486, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1596.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
300
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
6,255
Recamán's sequence
a(2,796) = 5,526
Square (n²)
30,536,676
Cube (n³)
168,745,671,576
Divisor count
12
σ(n) — sum of divisors
12,012
φ(n) — Euler's totient
1,836
Sum of prime factors
315

Primality

Prime factorization: 2 × 3 2 × 307

Nearest primes: 5,521 (−5) · 5,527 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 307 · 614 · 921 · 1842 · 2763 (half) · 5526
Aliquot sum (sum of proper divisors): 6,486
Factor pairs (a × b = 5,526)
1 × 5526
2 × 2763
3 × 1842
6 × 921
9 × 614
18 × 307
First multiples
5,526 · 11,052 (double) · 16,578 · 22,104 · 27,630 · 33,156 · 38,682 · 44,208 · 49,734 · 55,260

Sums & aliquot sequence

As consecutive integers: 1,841 + 1,842 + 1,843 1,380 + 1,381 + 1,382 + 1,383 610 + 611 + … + 618 455 + 456 + … + 466
Aliquot sequence: 5,526 6,486 7,338 7,350 13,854 13,866 13,878 17,082 23,322 29,382 31,098 32,838 38,058 38,070 66,474 81,366 84,522 — unresolved within range

Continued fraction of √n

√5,526 = [74; (2, 1, 29, 14, 1, 5, 74, 5, 1, 14, 29, 1, 2, 148)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five thousand five hundred twenty-six
Ordinal
5526th
Binary
1010110010110
Octal
12626
Hexadecimal
0x1596
Base64
FZY=
One's complement
60,009 (16-bit)
Scientific notation
5.526 × 10³
As a duration
5,526 s = 1 hour, 32 minutes, 6 seconds
In other bases
ternary (3) 21120200
quaternary (4) 1112112
quinary (5) 134101
senary (6) 41330
septenary (7) 22053
nonary (9) 7520
undecimal (11) 4174
duodecimal (12) 3246
tridecimal (13) 2691
tetradecimal (14) 202a
pentadecimal (15) 1986

As an angle

5,526° = 15 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εφκϛʹ
Mayan (base 20)
𝋭·𝋰·𝋦
Chinese
五千五百二十六
Chinese (financial)
伍仟伍佰貳拾陸
In other modern scripts
Eastern Arabic ٥٥٢٦ Devanagari ५५२६ Bengali ৫৫২৬ Tamil ௫௫௨௬ Thai ๕๕๒๖ Tibetan ༥༥༢༦ Khmer ៥៥២៦ Lao ໕໕໒໖ Burmese ၅၅၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,526 = 5
e — Euler's number (e)
Digit 5,526 = 0
φ — Golden ratio (φ)
Digit 5,526 = 7
√2 — Pythagoras's (√2)
Digit 5,526 = 6
ln 2 — Natural log of 2
Digit 5,526 = 7
γ — Euler-Mascheroni (γ)
Digit 5,526 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5526, here are decompositions:

  • 5 + 5521 = 5526
  • 7 + 5519 = 5526
  • 19 + 5507 = 5526
  • 23 + 5503 = 5526
  • 43 + 5483 = 5526
  • 47 + 5479 = 5526
  • 83 + 5443 = 5526
  • 89 + 5437 = 5526

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Nng
U+1596
Other letter (Lo)

UTF-8 encoding: E1 96 96 (3 bytes).

Hex color
#001596
RGB(0, 21, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.150.

Address
0.0.21.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.21.150

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

Musical pitch

Heard as a frequency, 5,526 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -18¢)
Position in π

The digit sequence 5526 first appears in π at position 3,895 of the decimal expansion (the 3,895ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.