number.wiki
Live analysis

137,170

137,170 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.).

137,170 (one hundred thirty-seven thousand one hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 29 × 43. Its proper divisors sum to 147,950, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217D2.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
71,731
Square (n²)
18,815,608,900
Cube (n³)
2,580,937,072,813,000
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
47,040
Sum of prime factors
90

Primality

Prime factorization: 2 × 5 × 11 × 29 × 43

Nearest primes: 137,153 (−17) · 137,177 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 11 · 22 · 29 · 43 · 55 · 58 · 86 · 110 · 145 · 215 · 290 · 319 · 430 · 473 · 638 · 946 · 1247 · 1595 · 2365 · 2494 · 3190 · 4730 · 6235 · 12470 · 13717 · 27434 · 68585 (half) · 137170
Aliquot sum (sum of proper divisors): 147,950
Factor pairs (a × b = 137,170)
1 × 137170
2 × 68585
5 × 27434
10 × 13717
11 × 12470
22 × 6235
29 × 4730
43 × 3190
55 × 2494
58 × 2365
86 × 1595
110 × 1247
145 × 946
215 × 638
290 × 473
319 × 430
First multiples
137,170 · 274,340 (double) · 411,510 · 548,680 · 685,850 · 823,020 · 960,190 · 1,097,360 · 1,234,530 · 1,371,700

Sums & aliquot sequence

As consecutive integers: 34,291 + 34,292 + 34,293 + 34,294 27,432 + 27,433 + 27,434 + 27,435 + 27,436 12,465 + 12,466 + … + 12,475 6,849 + 6,850 + … + 6,868
Aliquot sequence: 137,170 147,950 153,370 168,794 91,354 45,680 60,712 53,138 27,061 1 0 — terminates at zero

Continued fraction of √n

√137,170 = [370; (2, 1, 2, 1, 7, 6, 1, 1, 5, 4, 1, 8, 2, 1, 24, 82, 3, 1, 4, 6, 2, 6, 4, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred seventy
Ordinal
137170th
Binary
100001011111010010
Octal
413722
Hexadecimal
0x217D2
Base64
AhfS
One's complement
4,294,830,125 (32-bit)
Scientific notation
1.3717 × 10⁵
As a duration
137,170 s = 1 day, 14 hours, 6 minutes, 10 seconds
In other bases
ternary (3) 20222011101
quaternary (4) 201133102
quinary (5) 13342140
senary (6) 2535014
septenary (7) 1110625
nonary (9) 228141
undecimal (11) 94070
duodecimal (12) 6746a
tridecimal (13) 4a587
tetradecimal (14) 37dbc
pentadecimal (15) 2a99a

As an angle

137,170° = 381 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζροʹ
Mayan (base 20)
𝋱·𝋢·𝋲·𝋪
Chinese
一十三萬七千一百七十
Chinese (financial)
壹拾參萬柒仟壹佰柒拾
In other modern scripts
Eastern Arabic ١٣٧١٧٠ Devanagari १३७१७० Bengali ১৩৭১৭০ Tamil ௧௩௭௧௭௦ Thai ๑๓๗๑๗๐ Tibetan ༡༣༧༡༧༠ Khmer ១៣៧១៧០ Lao ໑໓໗໑໗໐ Burmese ၁၃၇၁၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137170, here are decompositions:

  • 17 + 137153 = 137170
  • 23 + 137147 = 137170
  • 53 + 137117 = 137170
  • 83 + 137087 = 137170
  • 179 + 136991 = 137170
  • 191 + 136979 = 137170
  • 197 + 136973 = 137170
  • 227 + 136943 = 137170

Showing the first eight; more decompositions exist.

Unicode codepoint
𡟒
CJK Unified Ideograph-217D2
U+217D2
Other letter (Lo)

UTF-8 encoding: F0 A1 9F 92 (4 bytes).

Hex color
#0217D2
RGB(2, 23, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.210.

Address
0.2.23.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.210

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 137,170 and was likely granted around 1872.

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

Related reading