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17,990

17,990 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.).

17,990 (seventeen thousand nine hundred ninety) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 257. Its proper divisors sum to 19,162, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4646.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
9,971
Recamán's sequence
a(8,244) = 17,990
Square (n²)
323,640,100
Cube (n³)
5,822,285,399,000
Divisor count
16
σ(n) — sum of divisors
37,152
φ(n) — Euler's totient
6,144
Sum of prime factors
271

Primality

Prime factorization: 2 × 5 × 7 × 257

Nearest primes: 17,989 (−1) · 18,013 (+23)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 257 · 514 · 1285 · 1799 · 2570 · 3598 · 8995 (half) · 17990
Aliquot sum (sum of proper divisors): 19,162
Factor pairs (a × b = 17,990)
1 × 17990
2 × 8995
5 × 3598
7 × 2570
10 × 1799
14 × 1285
35 × 514
70 × 257
First multiples
17,990 · 35,980 (double) · 53,970 · 71,960 · 89,950 · 107,940 · 125,930 · 143,920 · 161,910 · 179,900

Sums & aliquot sequence

As consecutive integers: 4,496 + 4,497 + 4,498 + 4,499 3,596 + 3,597 + 3,598 + 3,599 + 3,600 2,567 + 2,568 + … + 2,573 890 + 891 + … + 909
Aliquot sequence: 17,990 19,162 15,110 12,106 6,056 5,314 2,660 4,060 6,020 8,764 8,820 22,302 35,298 44,730 90,054 105,102 122,658 — unresolved within range

Continued fraction of √n

√17,990 = [134; (7, 1, 7, 1, 3, 1, 1, 23, 1, 4, 1, 6, 1, 4, 1, 23, 1, 1, 3, 1, 7, 1, 7, 268)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
seventeen thousand nine hundred ninety
Ordinal
17990th
Binary
100011001000110
Octal
43106
Hexadecimal
0x4646
Base64
RkY=
One's complement
47,545 (16-bit)
Scientific notation
1.799 × 10⁴
As a duration
17,990 s = 4 hours, 59 minutes, 50 seconds
In other bases
ternary (3) 220200022
quaternary (4) 10121012
quinary (5) 1033430
senary (6) 215142
septenary (7) 103310
nonary (9) 26608
undecimal (11) 12575
duodecimal (12) a4b2
tridecimal (13) 825b
tetradecimal (14) 67b0
pentadecimal (15) 54e5

As an angle

17,990° = 49 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιζϡϟʹ
Mayan (base 20)
𝋢·𝋤·𝋳·𝋪
Chinese
一萬七千九百九十
Chinese (financial)
壹萬柒仟玖佰玖拾
In other modern scripts
Eastern Arabic ١٧٩٩٠ Devanagari १७९९० Bengali ১৭৯৯০ Tamil ௧௭௯௯௦ Thai ๑๗๙๙๐ Tibetan ༡༧༩༩༠ Khmer ១៧៩៩០ Lao ໑໗໙໙໐ Burmese ၁၇၉၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 17,990 = 9
e — Euler's number (e)
Digit 17,990 = 3
φ — Golden ratio (φ)
Digit 17,990 = 8
√2 — Pythagoras's (√2)
Digit 17,990 = 6
ln 2 — Natural log of 2
Digit 17,990 = 6
γ — Euler-Mascheroni (γ)
Digit 17,990 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17990, here are decompositions:

  • 3 + 17987 = 17990
  • 13 + 17977 = 17990
  • 19 + 17971 = 17990
  • 31 + 17959 = 17990
  • 61 + 17929 = 17990
  • 67 + 17923 = 17990
  • 79 + 17911 = 17990
  • 109 + 17881 = 17990

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4646
U+4646
Other letter (Lo)

UTF-8 encoding: E4 99 86 (3 bytes).

Hex color
#004646
RGB(0, 70, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.70.

Address
0.0.70.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.70.70

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

Musical pitch

Heard as a frequency, 17,990 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯10 (17739.7 Hz, +24¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): D10 (17726.7 Hz, +26¢)
Position in π

The digit sequence 17990 first appears in π at position 151,556 of the decimal expansion (the 151,556ordinal-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.