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163,742

163,742 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.).

163,742 (one hundred sixty-three thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 19 × 31 × 139. Written other ways, in hexadecimal, 0x27F9E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
247,361
Square (n²)
26,811,442,564
Cube (n³)
4,390,159,228,314,488
Divisor count
16
σ(n) — sum of divisors
268,800
φ(n) — Euler's totient
74,520
Sum of prime factors
191

Primality

Prime factorization: 2 × 19 × 31 × 139

Nearest primes: 163,741 (−1) · 163,753 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 19 · 31 · 38 · 62 · 139 · 278 · 589 · 1178 · 2641 · 4309 · 5282 · 8618 · 81871 (half) · 163742
Aliquot sum (sum of proper divisors): 105,058
Factor pairs (a × b = 163,742)
1 × 163742
2 × 81871
19 × 8618
31 × 5282
38 × 4309
62 × 2641
139 × 1178
278 × 589
First multiples
163,742 · 327,484 (double) · 491,226 · 654,968 · 818,710 · 982,452 · 1,146,194 · 1,309,936 · 1,473,678 · 1,637,420

Sums & aliquot sequence

As consecutive integers: 40,934 + 40,935 + 40,936 + 40,937 8,609 + 8,610 + … + 8,627 5,267 + 5,268 + … + 5,297 2,117 + 2,118 + … + 2,192
Aliquot sequence: 163,742 105,058 52,532 43,564 32,680 46,520 58,240 113,120 195,328 254,352 497,584 477,800 633,550 544,946 296,776 259,694 139,474 — unresolved within range

Continued fraction of √n

√163,742 = [404; (1, 1, 1, 6, 5, 4, 1, 3, 2, 1, 2, 1, 14, 1, 1, 5, 1, 1, 1, 20, 1, 1, 1, 5, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-three thousand seven hundred forty-two
Ordinal
163742nd
Binary
100111111110011110
Octal
477636
Hexadecimal
0x27F9E
Base64
An+e
One's complement
4,294,803,553 (32-bit)
Scientific notation
1.63742 × 10⁵
As a duration
163,742 s = 1 day, 21 hours, 29 minutes, 2 seconds
In other bases
ternary (3) 22022121112
quaternary (4) 213332132
quinary (5) 20214432
senary (6) 3302022
septenary (7) 1251245
nonary (9) 268545
undecimal (11) 102027
duodecimal (12) 7a912
tridecimal (13) 596b7
tetradecimal (14) 4395c
pentadecimal (15) 337b2

As an angle

163,742° = 454 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξγψμβʹ
Chinese
一十六萬三千七百四十二
Chinese (financial)
壹拾陸萬參仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٦٣٧٤٢ Devanagari १६३७४२ Bengali ১৬৩৭৪২ Tamil ௧௬௩௭௪௨ Thai ๑๖๓๗๔๒ Tibetan ༡༦༣༧༤༢ Khmer ១៦៣៧៤២ Lao ໑໖໓໗໔໒ Burmese ၁၆၃၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 163742, here are decompositions:

  • 13 + 163729 = 163742
  • 109 + 163633 = 163742
  • 181 + 163561 = 163742
  • 199 + 163543 = 163742
  • 331 + 163411 = 163742
  • 349 + 163393 = 163742
  • 379 + 163363 = 163742
  • 421 + 163321 = 163742

Showing the first eight; more decompositions exist.

Unicode codepoint
𧾞
CJK Unified Ideograph-27F9E
U+27F9E
Other letter (Lo)

UTF-8 encoding: F0 A7 BE 9E (4 bytes).

Hex color
#027F9E
RGB(2, 127, 158)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.127.158.

Address
0.2.127.158
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.127.158

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 163,742 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 163742 first appears in π at position 412,105 of the decimal expansion (the 412,105ordinal-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°.