number.wiki
Live analysis

170,742

170,742 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.).

170,742 (one hundred seventy thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 13 × 199. Its proper divisors sum to 232,458, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29AF6.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
247,071
Recamán's sequence
a(469,803) = 170,742
Square (n²)
29,152,830,564
Cube (n³)
4,977,612,596,158,488
Divisor count
32
σ(n) — sum of divisors
403,200
φ(n) — Euler's totient
47,520
Sum of prime factors
228

Primality

Prime factorization: 2 × 3 × 11 × 13 × 199

Nearest primes: 170,741 (−1) · 170,749 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 13 · 22 · 26 · 33 · 39 · 66 · 78 · 143 · 199 · 286 · 398 · 429 · 597 · 858 · 1194 · 2189 · 2587 · 4378 · 5174 · 6567 · 7761 · 13134 · 15522 · 28457 · 56914 · 85371 (half) · 170742
Aliquot sum (sum of proper divisors): 232,458
Factor pairs (a × b = 170,742)
1 × 170742
2 × 85371
3 × 56914
6 × 28457
11 × 15522
13 × 13134
22 × 7761
26 × 6567
33 × 5174
39 × 4378
66 × 2587
78 × 2189
143 × 1194
199 × 858
286 × 597
398 × 429
First multiples
170,742 · 341,484 (double) · 512,226 · 682,968 · 853,710 · 1,024,452 · 1,195,194 · 1,365,936 · 1,536,678 · 1,707,420

Sums & aliquot sequence

As consecutive integers: 56,913 + 56,914 + 56,915 42,684 + 42,685 + 42,686 + 42,687 15,517 + 15,518 + … + 15,527 14,223 + 14,224 + … + 14,234
Aliquot sequence: 170,742 232,458 280,758 289,338 380,070 642,042 777,402 907,008 1,509,000 3,208,440 6,417,240 13,217,160 36,549,240 98,442,120 239,076,600 607,952,520 1,880,367,480 — unresolved within range

Continued fraction of √n

√170,742 = [413; (4, 1, 3, 2, 5, 1, 2, 1, 1, 1, 3, 1, 7, 2, 1, 1, 20, 1, 1, 2, 7, 1, 3, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand seven hundred forty-two
Ordinal
170742nd
Binary
101001101011110110
Octal
515366
Hexadecimal
0x29AF6
Base64
Apr2
One's complement
4,294,796,553 (32-bit)
Scientific notation
1.70742 × 10⁵
As a duration
170,742 s = 1 day, 23 hours, 25 minutes, 42 seconds
In other bases
ternary (3) 22200012210
quaternary (4) 221223312
quinary (5) 20430432
senary (6) 3354250
septenary (7) 1310535
nonary (9) 280183
undecimal (11) 107310
duodecimal (12) 82986
tridecimal (13) 5c940
tetradecimal (14) 4631c
pentadecimal (15) 358cc

As an angle

170,742° = 474 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροψμβʹ
Chinese
一十七萬零七百四十二
Chinese (financial)
壹拾柒萬零柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٧٠٧٤٢ Devanagari १७०७४२ Bengali ১৭০৭৪২ Tamil ௧௭௦௭௪௨ Thai ๑๗๐๗๔๒ Tibetan ༡༧༠༧༤༢ Khmer ១៧០៧៤២ Lao ໑໗໐໗໔໒ Burmese ၁၇၀၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170742, here are decompositions:

  • 31 + 170711 = 170742
  • 41 + 170701 = 170742
  • 53 + 170689 = 170742
  • 73 + 170669 = 170742
  • 101 + 170641 = 170742
  • 109 + 170633 = 170742
  • 139 + 170603 = 170742
  • 163 + 170579 = 170742

Showing the first eight; more decompositions exist.

Unicode codepoint
𩫶
CJK Unified Ideograph-29Af6
U+29AF6
Other letter (Lo)

UTF-8 encoding: F0 A9 AB B6 (4 bytes).

Hex color
#029AF6
RGB(2, 154, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.154.246.

Address
0.2.154.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.154.246

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 170,742 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°.