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173,364

173,364 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.).

173,364 (one hundred seventy-three thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 14,447. Its proper divisors sum to 231,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A534.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,512
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
463,371
Recamán's sequence
a(59,276) = 173,364
Square (n²)
30,055,076,496
Cube (n³)
5,210,468,281,652,544
Divisor count
12
σ(n) — sum of divisors
404,544
φ(n) — Euler's totient
57,784
Sum of prime factors
14,454

Primality

Prime factorization: 2 2 × 3 × 14447

Nearest primes: 173,359 (−5) · 173,429 (+65)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 14447 · 28894 · 43341 · 57788 · 86682 (half) · 173364
Aliquot sum (sum of proper divisors): 231,180
Factor pairs (a × b = 173,364)
1 × 173364
2 × 86682
3 × 57788
4 × 43341
6 × 28894
12 × 14447
First multiples
173,364 · 346,728 (double) · 520,092 · 693,456 · 866,820 · 1,040,184 · 1,213,548 · 1,386,912 · 1,560,276 · 1,733,640

Sums & aliquot sequence

As consecutive integers: 57,787 + 57,788 + 57,789 21,667 + 21,668 + … + 21,674 7,212 + 7,213 + … + 7,235
Aliquot sequence: 173,364 231,180 416,292 566,844 755,820 1,996,020 4,531,956 8,639,244 13,939,956 22,436,748 34,428,060 76,156,596 116,350,446 116,350,458 156,258,822 156,258,834 156,258,846 — unresolved within range

Continued fraction of √n

√173,364 = [416; (2, 1, 2, 2, 1, 3, 3, 2, 1, 68, 1, 2, 3, 3, 1, 2, 2, 1, 2, 832)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand three hundred sixty-four
Ordinal
173364th
Binary
101010010100110100
Octal
522464
Hexadecimal
0x2A534
Base64
AqU0
One's complement
4,294,793,931 (32-bit)
Scientific notation
1.73364 × 10⁵
As a duration
173,364 s = 2 days, 9 minutes, 24 seconds
In other bases
ternary (3) 22210210220
quaternary (4) 222110310
quinary (5) 21021424
senary (6) 3414340
septenary (7) 1321302
nonary (9) 283726
undecimal (11) 109284
duodecimal (12) 843b0
tridecimal (13) 60ba9
tetradecimal (14) 47272
pentadecimal (15) 36579

As an angle

173,364° = 481 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρογτξδʹ
Chinese
一十七萬三千三百六十四
Chinese (financial)
壹拾柒萬參仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٧٣٣٦٤ Devanagari १७३३६४ Bengali ১৭৩৩৬৪ Tamil ௧௭௩௩௬௪ Thai ๑๗๓๓๖๔ Tibetan ༡༧༣༣༦༤ Khmer ១៧៣៣៦៤ Lao ໑໗໓໓໖໔ Burmese ၁၇၃၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173364, here are decompositions:

  • 5 + 173359 = 173364
  • 7 + 173357 = 173364
  • 17 + 173347 = 173364
  • 67 + 173297 = 173364
  • 71 + 173293 = 173364
  • 73 + 173291 = 173364
  • 97 + 173267 = 173364
  • 101 + 173263 = 173364

Showing the first eight; more decompositions exist.

Unicode codepoint
𪔴
CJK Unified Ideograph-2A534
U+2A534
Other letter (Lo)

UTF-8 encoding: F0 AA 94 B4 (4 bytes).

Hex color
#02A534
RGB(2, 165, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.165.52.

Address
0.2.165.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.165.52

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 173,364 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 173364 first appears in π at position 848,968 of the decimal expansion (the 848,968ordinal-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°.