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173,742

173,742 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.).

173,742 (one hundred seventy-three thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 1,259. Its proper divisors sum to 189,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A6AE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,176
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
247,371
Recamán's sequence
a(190,204) = 173,742
Square (n²)
30,186,282,564
Cube (n³)
5,244,625,105,234,488
Divisor count
16
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
55,352
Sum of prime factors
1,287

Primality

Prime factorization: 2 × 3 × 23 × 1259

Nearest primes: 173,741 (−1) · 173,743 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 23 · 46 · 69 · 138 · 1259 · 2518 · 3777 · 7554 · 28957 · 57914 · 86871 (half) · 173742
Aliquot sum (sum of proper divisors): 189,138
Factor pairs (a × b = 173,742)
1 × 173742
2 × 86871
3 × 57914
6 × 28957
23 × 7554
46 × 3777
69 × 2518
138 × 1259
First multiples
173,742 · 347,484 (double) · 521,226 · 694,968 · 868,710 · 1,042,452 · 1,216,194 · 1,389,936 · 1,563,678 · 1,737,420

Sums & aliquot sequence

As consecutive integers: 57,913 + 57,914 + 57,915 43,434 + 43,435 + 43,436 + 43,437 14,473 + 14,474 + … + 14,484 7,543 + 7,544 + … + 7,565
Aliquot sequence: 173,742 189,138 202,542 202,554 308,166 308,178 431,022 431,034 483,366 557,898 686,262 686,274 746,238 754,962 871,278 871,290 1,789,830 — unresolved within range

Continued fraction of √n

√173,742 = [416; (1, 4, 1, 2, 19, 2, 59, 16, 1, 276, 1, 16, 59, 2, 19, 2, 1, 4, 1, 832)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand seven hundred forty-two
Ordinal
173742nd
Binary
101010011010101110
Octal
523256
Hexadecimal
0x2A6AE
Base64
Aqau
One's complement
4,294,793,553 (32-bit)
Scientific notation
1.73742 × 10⁵
As a duration
173,742 s = 2 days, 15 minutes, 42 seconds
In other bases
ternary (3) 22211022220
quaternary (4) 222122232
quinary (5) 21024432
senary (6) 3420210
septenary (7) 1322352
nonary (9) 284286
undecimal (11) 109598
duodecimal (12) 84666
tridecimal (13) 6110a
tetradecimal (14) 47462
pentadecimal (15) 3672c

As an angle

173,742° = 482 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρογψμβʹ
Chinese
一十七萬三千七百四十二
Chinese (financial)
壹拾柒萬參仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٧٣٧٤٢ Devanagari १७३७४२ Bengali ১৭৩৭৪২ Tamil ௧௭௩௭௪௨ Thai ๑๗๓๗๔๒ Tibetan ༡༧༣༧༤༢ Khmer ១៧៣៧៤២ Lao ໑໗໓໗໔໒ Burmese ၁၇၃၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173742, here are decompositions:

  • 13 + 173729 = 173742
  • 29 + 173713 = 173742
  • 43 + 173699 = 173742
  • 59 + 173683 = 173742
  • 71 + 173671 = 173742
  • 73 + 173669 = 173742
  • 83 + 173659 = 173742
  • 113 + 173629 = 173742

Showing the first eight; more decompositions exist.

Unicode codepoint
𪚮
CJK Unified Ideograph-2A6Ae
U+2A6AE
Other letter (Lo)

UTF-8 encoding: F0 AA 9A AE (4 bytes).

Hex color
#02A6AE
RGB(2, 166, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.166.174.

Address
0.2.166.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.166.174

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 173,742 and was likely granted around 1874.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.