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17,172

17,172 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.).

17,172 (seventeen thousand one hundred seventy-two) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2² × 3⁴ × 53. Its proper divisors sum to 28,566, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4314.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
98
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
27,171
Recamán's sequence
a(88,916) = 17,172
Square (n²)
294,877,584
Cube (n³)
5,063,637,872,448
Divisor count
30
σ(n) — sum of divisors
45,738
φ(n) — Euler's totient
5,616
Sum of prime factors
69

Primality

Prime factorization: 2 2 × 3 4 × 53

Nearest primes: 17,167 (−5) · 17,183 (+11)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 53 · 54 · 81 · 106 · 108 · 159 · 162 · 212 · 318 · 324 · 477 · 636 · 954 · 1431 · 1908 · 2862 · 4293 · 5724 · 8586 (half) · 17172
Aliquot sum (sum of proper divisors): 28,566
Factor pairs (a × b = 17,172)
1 × 17172
2 × 8586
3 × 5724
4 × 4293
6 × 2862
9 × 1908
12 × 1431
18 × 954
27 × 636
36 × 477
53 × 324
54 × 318
81 × 212
106 × 162
108 × 159
First multiples
17,172 · 34,344 (double) · 51,516 · 68,688 · 85,860 · 103,032 · 120,204 · 137,376 · 154,548 · 171,720

Sums & aliquot sequence

As a sum of two squares: 36² + 126²
As consecutive integers: 5,723 + 5,724 + 5,725 2,143 + 2,144 + … + 2,150 1,904 + 1,905 + … + 1,912 704 + 705 + … + 727
Aliquot sequence: 17,172 28,566 37,794 37,806 37,818 52,038 81,342 94,938 94,950 161,358 161,370 299,142 349,038 407,250 700,038 816,750 1,673,010 — unresolved within range

Continued fraction of √n

√17,172 = [131; (23, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 23, 262)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
seventeen thousand one hundred seventy-two
Ordinal
17172nd
Binary
100001100010100
Octal
41424
Hexadecimal
0x4314
Base64
QxQ=
One's complement
48,363 (16-bit)
Scientific notation
1.7172 × 10⁴
As a duration
17,172 s = 4 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 212120000
quaternary (4) 10030110
quinary (5) 1022142
senary (6) 211300
septenary (7) 101031
nonary (9) 25500
undecimal (11) 119a1
duodecimal (12) 9b30
tridecimal (13) 7a7c
tetradecimal (14) 6388
pentadecimal (15) 514c

As an angle

17,172° = 47 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιζροβʹ
Mayan (base 20)
𝋢·𝋢·𝋲·𝋬
Chinese
一萬七千一百七十二
Chinese (financial)
壹萬柒仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٧١٧٢ Devanagari १७१७२ Bengali ১৭১৭২ Tamil ௧௭௧௭௨ Thai ๑๗๑๗๒ Tibetan ༡༧༡༧༢ Khmer ១៧១៧២ Lao ໑໗໑໗໒ Burmese ၁၇၁၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 17,172 = 5
e — Euler's number (e)
Digit 17,172 = 4
φ — Golden ratio (φ)
Digit 17,172 = 3
√2 — Pythagoras's (√2)
Digit 17,172 = 5
ln 2 — Natural log of 2
Digit 17,172 = 9
γ — Euler-Mascheroni (γ)
Digit 17,172 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 17172, here are decompositions:

  • 5 + 17167 = 17172
  • 13 + 17159 = 17172
  • 73 + 17099 = 17172
  • 79 + 17093 = 17172
  • 131 + 17041 = 17172
  • 139 + 17033 = 17172
  • 151 + 17021 = 17172
  • 179 + 16993 = 17172

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4314
U+4314
Other letter (Lo)

UTF-8 encoding: E4 8C 94 (3 bytes).

Hex color
#004314
RGB(0, 67, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.67.20.

Address
0.0.67.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.67.20

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

Musical pitch

Heard as a frequency, 17,172 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +44¢)
  • Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -19¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +45¢ — about midway to D10)
Position in π

The digit sequence 17172 first appears in π at position 133,350 of the decimal expansion (the 133,350ordinal-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°.