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3,498

3,498 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.).

3,498 (three thousand four hundred ninety-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 53. Its proper divisors sum to 4,278, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCDXCVIII and in binary, 110110101010.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
24
Digit product
864
Digital root
6
Palindrome
No
Bit width
12 bits
Reversed
8,943
Recamán's sequence
a(14,895) = 3,498
Square (n²)
12,236,004
Cube (n³)
42,801,541,992
Divisor count
16
σ(n) — sum of divisors
7,776
φ(n) — Euler's totient
1,040
Sum of prime factors
69

Primality

Prime factorization: 2 × 3 × 11 × 53

Nearest primes: 3,491 (−7) · 3,499 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 53 · 66 · 106 · 159 · 318 · 583 · 1166 · 1749 (half) · 3498
Aliquot sum (sum of proper divisors): 4,278
Factor pairs (a × b = 3,498)
1 × 3498
2 × 1749
3 × 1166
6 × 583
11 × 318
22 × 159
33 × 106
53 × 66
First multiples
3,498 · 6,996 (double) · 10,494 · 13,992 · 17,490 · 20,988 · 24,486 · 27,984 · 31,482 · 34,980

Sums & aliquot sequence

As consecutive integers: 1,165 + 1,166 + 1,167 873 + 874 + 875 + 876 313 + 314 + … + 323 286 + 287 + … + 297
Aliquot sequence: 3,498 4,278 4,938 4,950 9,558 12,222 18,354 27,726 27,738 35,910 79,290 127,098 161,190 274,410 439,290 732,870 1,288,890 — unresolved within range

Continued fraction of √n

√3,498 = [59; (6, 1, 18, 1, 6, 118)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
three thousand four hundred ninety-eight
Ordinal
3498th
Roman numeral
MMMCDXCVIII
Binary
110110101010
Octal
6652
Hexadecimal
0xDAA
Base64
Dao=
One's complement
62,037 (16-bit)
Scientific notation
3.498 × 10³
As a duration
3,498 s = 58 minutes, 18 seconds
In other bases
ternary (3) 11210120
quaternary (4) 312222
quinary (5) 102443
senary (6) 24110
septenary (7) 13125
nonary (9) 4716
undecimal (11) 26a0
duodecimal (12) 2036
tridecimal (13) 1791
tetradecimal (14) 13bc
pentadecimal (15) 1083

As an angle

3,498° = 9 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γυϟηʹ
Mayan (base 20)
𝋨·𝋮·𝋲
Chinese
三千四百九十八
Chinese (financial)
參仟肆佰玖拾捌
In other modern scripts
Eastern Arabic ٣٤٩٨ Devanagari ३४९८ Bengali ৩৪৯৮ Tamil ௩௪௯௮ Thai ๓๔๙๘ Tibetan ༣༤༩༨ Khmer ៣៤៩៨ Lao ໓໔໙໘ Burmese ၃၄၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 3,498 = 1
e — Euler's number (e)
Digit 3,498 = 1
φ — Golden ratio (φ)
Digit 3,498 = 1
√2 — Pythagoras's (√2)
Digit 3,498 = 2
ln 2 — Natural log of 2
Digit 3,498 = 9
γ — Euler-Mascheroni (γ)
Digit 3,498 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3498, here are decompositions:

  • 7 + 3491 = 3498
  • 29 + 3469 = 3498
  • 31 + 3467 = 3498
  • 37 + 3461 = 3498
  • 41 + 3457 = 3498
  • 107 + 3391 = 3498
  • 109 + 3389 = 3498
  • 127 + 3371 = 3498

Showing the first eight; more decompositions exist.

Unicode codepoint
Sinhala Letter Mahaapraana Ddayanna
U+0DAA
Other letter (Lo)

UTF-8 encoding: E0 B6 AA (3 bytes).

Hex color
#000DAA
RGB(0, 13, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.170.

Address
0.0.13.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.170

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

Musical pitch

Heard as a frequency, 3,498 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -11¢)
  • Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -10¢)
Position in π

The digit sequence 3498 first appears in π at position 7,935 of the decimal expansion (the 7,935ordinal-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°.