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173,400

173,400 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.).

173,400 (one hundred seventy-three thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3 × 5² × 17². Its proper divisors sum to 397,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A558.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
4,371
Recamán's sequence
a(59,204) = 173,400
Square (n²)
30,067,560,000
Cube (n³)
5,213,714,904,000,000
Divisor count
72
σ(n) — sum of divisors
571,020
φ(n) — Euler's totient
43,520
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 3 × 5 2 × 17 2

Nearest primes: 173,359 (−41) · 173,429 (+29)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 25 · 30 · 34 · 40 · 50 · 51 · 60 · 68 · 75 · 85 · 100 · 102 · 120 · 136 · 150 · 170 · 200 · 204 · 255 · 289 · 300 · 340 · 408 · 425 · 510 · 578 · 600 · 680 · 850 · 867 · 1020 · 1156 · 1275 · 1445 · 1700 · 1734 · 2040 · 2312 · 2550 · 2890 · 3400 · 3468 · 4335 · 5100 · 5780 · 6936 · 7225 · 8670 · 10200 · 11560 · 14450 · 17340 · 21675 · 28900 · 34680 · 43350 · 57800 · 86700 (half) · 173400
Aliquot sum (sum of proper divisors): 397,620
Factor pairs (a × b = 173,400)
1 × 173400
2 × 86700
3 × 57800
4 × 43350
5 × 34680
6 × 28900
8 × 21675
10 × 17340
12 × 14450
15 × 11560
17 × 10200
20 × 8670
24 × 7225
25 × 6936
30 × 5780
34 × 5100
40 × 4335
50 × 3468
51 × 3400
60 × 2890
68 × 2550
75 × 2312
85 × 2040
100 × 1734
102 × 1700
120 × 1445
136 × 1275
150 × 1156
170 × 1020
200 × 867
204 × 850
255 × 680
289 × 600
300 × 578
340 × 510
408 × 425
First multiples
173,400 · 346,800 (double) · 520,200 · 693,600 · 867,000 · 1,040,400 · 1,213,800 · 1,387,200 · 1,560,600 · 1,734,000

Sums & aliquot sequence

As consecutive integers: 57,799 + 57,800 + 57,801 34,678 + 34,679 + 34,680 + 34,681 + 34,682 11,553 + 11,554 + … + 11,567 10,830 + 10,831 + … + 10,845
Aliquot sequence: 173,400 397,620 834,702 986,610 1,381,326 1,381,338 2,225,382 2,225,394 3,059,886 3,257,682 3,257,694 4,442,778 5,366,970 10,878,714 19,312,902 28,509,834 30,989,238 — unresolved within range

Continued fraction of √n

√173,400 = [416; (2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 3, 1, 1, 2, 3, 10, 1, 1, 1, 32, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand four hundred
Ordinal
173400th
Binary
101010010101011000
Octal
522530
Hexadecimal
0x2A558
Base64
AqVY
One's complement
4,294,793,895 (32-bit)
Scientific notation
1.734 × 10⁵
As a duration
173,400 s = 2 days, 10 minutes
In other bases
ternary (3) 22210212020
quaternary (4) 222111120
quinary (5) 21022100
senary (6) 3414440
septenary (7) 1321353
nonary (9) 283766
undecimal (11) 109307
duodecimal (12) 84420
tridecimal (13) 60c06
tetradecimal (14) 4729a
pentadecimal (15) 365a0
Palindromic in base 13

As an angle

173,400° = 481 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρογυʹ
Chinese
一十七萬三千四百
Chinese (financial)
壹拾柒萬參仟肆佰
In other modern scripts
Eastern Arabic ١٧٣٤٠٠ Devanagari १७३४०० Bengali ১৭৩৪০০ Tamil ௧௭௩௪௦௦ Thai ๑๗๓๔๐๐ Tibetan ༡༧༣༤༠༠ Khmer ១៧៣៤០០ Lao ໑໗໓໔໐໐ Burmese ၁၇၃၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173400, here are decompositions:

  • 41 + 173359 = 173400
  • 43 + 173357 = 173400
  • 53 + 173347 = 173400
  • 103 + 173297 = 173400
  • 107 + 173293 = 173400
  • 109 + 173291 = 173400
  • 127 + 173273 = 173400
  • 137 + 173263 = 173400

Showing the first eight; more decompositions exist.

Unicode codepoint
𪕘
CJK Unified Ideograph-2A558
U+2A558
Other letter (Lo)

UTF-8 encoding: F0 AA 95 98 (4 bytes).

Hex color
#02A558
RGB(2, 165, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.165.88.

Address
0.2.165.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.165.88

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 173,400 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 173400 first appears in π at position 97,410 of the decimal expansion (the 97,410ordinal-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°.