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167,742

167,742 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.).

167,742 (one hundred sixty-seven thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 9,319. Its proper divisors sum to 195,738, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28F3E.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,352
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
247,761
Square (n²)
28,137,378,564
Cube (n³)
4,719,820,155,082,488
Divisor count
12
σ(n) — sum of divisors
363,480
φ(n) — Euler's totient
55,908
Sum of prime factors
9,327

Primality

Prime factorization: 2 × 3 2 × 9319

Nearest primes: 167,729 (−13) · 167,747 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 9319 · 18638 · 27957 · 55914 · 83871 (half) · 167742
Aliquot sum (sum of proper divisors): 195,738
Factor pairs (a × b = 167,742)
1 × 167742
2 × 83871
3 × 55914
6 × 27957
9 × 18638
18 × 9319
First multiples
167,742 · 335,484 (double) · 503,226 · 670,968 · 838,710 · 1,006,452 · 1,174,194 · 1,341,936 · 1,509,678 · 1,677,420

Sums & aliquot sequence

As consecutive integers: 55,913 + 55,914 + 55,915 41,934 + 41,935 + 41,936 + 41,937 18,634 + 18,635 + … + 18,642 13,973 + 13,974 + … + 13,984
Aliquot sequence: 167,742 195,738 244,902 360,114 376,014 402,306 444,894 444,906 799,254 1,120,986 1,370,214 1,598,622 1,866,978 2,513,502 2,962,098 3,682,332 5,687,028 — unresolved within range

Continued fraction of √n

√167,742 = [409; (1, 1, 3, 2, 5, 3, 2, 3, 1, 2, 2, 1, 1, 2, 1, 4, 3, 3, 2, 6, 2, 1, 57, 1, …)]

Representations

In words
one hundred sixty-seven thousand seven hundred forty-two
Ordinal
167742nd
Binary
101000111100111110
Octal
507476
Hexadecimal
0x28F3E
Base64
Ao8+
One's complement
4,294,799,553 (32-bit)
Scientific notation
1.67742 × 10⁵
As a duration
167,742 s = 1 day, 22 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 22112002200
quaternary (4) 220330332
quinary (5) 20331432
senary (6) 3332330
septenary (7) 1266021
nonary (9) 275080
undecimal (11) 105033
duodecimal (12) 810a6
tridecimal (13) 5b473
tetradecimal (14) 451b8
pentadecimal (15) 34a7c

As an angle

167,742° = 465 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξζψμβʹ
Chinese
一十六萬七千七百四十二
Chinese (financial)
壹拾陸萬柒仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٦٧٧٤٢ Devanagari १६७७४२ Bengali ১৬৭৭৪২ Tamil ௧௬௭௭௪௨ Thai ๑๖๗๗๔๒ Tibetan ༡༦༧༧༤༢ Khmer ១៦៧៧៤២ Lao ໑໖໗໗໔໒ Burmese ၁၆၇၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167742, here are decompositions:

  • 13 + 167729 = 167742
  • 31 + 167711 = 167742
  • 59 + 167683 = 167742
  • 79 + 167663 = 167742
  • 101 + 167641 = 167742
  • 109 + 167633 = 167742
  • 131 + 167611 = 167742
  • 149 + 167593 = 167742

Showing the first eight; more decompositions exist.

Unicode codepoint
𨼾
CJK Unified Ideograph-28F3E
U+28F3E
Other letter (Lo)

UTF-8 encoding: F0 A8 BC BE (4 bytes).

Hex color
#028F3E
RGB(2, 143, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.143.62.

Address
0.2.143.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.143.62

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 167,742 and was likely granted around 1874.

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

Position in π

The digit sequence 167742 first appears in π at position 370,009 of the decimal expansion (the 370,009ordinal-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°.