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137,350

137,350 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.).

137,350 (one hundred thirty-seven thousand three hundred fifty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5² × 41 × 67. Written other ways, in hexadecimal, 0x21886.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
53,731
Recamán's sequence
a(37,504) = 137,350
Square (n²)
18,865,022,500
Cube (n³)
2,591,110,840,375,000
Divisor count
24
σ(n) — sum of divisors
265,608
φ(n) — Euler's totient
52,800
Sum of prime factors
120

Primality

Prime factorization: 2 × 5 2 × 41 × 67

Nearest primes: 137,341 (−9) · 137,353 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 10 · 25 · 41 · 50 · 67 · 82 · 134 · 205 · 335 · 410 · 670 · 1025 · 1675 · 2050 · 2747 · 3350 · 5494 · 13735 · 27470 · 68675 (half) · 137350
Aliquot sum (sum of proper divisors): 128,258
Factor pairs (a × b = 137,350)
1 × 137350
2 × 68675
5 × 27470
10 × 13735
25 × 5494
41 × 3350
50 × 2747
67 × 2050
82 × 1675
134 × 1025
205 × 670
335 × 410
First multiples
137,350 · 274,700 (double) · 412,050 · 549,400 · 686,750 · 824,100 · 961,450 · 1,098,800 · 1,236,150 · 1,373,500

Sums & aliquot sequence

As consecutive integers: 34,336 + 34,337 + 34,338 + 34,339 27,468 + 27,469 + 27,470 + 27,471 + 27,472 6,858 + 6,859 + … + 6,877 5,482 + 5,483 + … + 5,506
Aliquot sequence: 137,350 128,258 78,970 66,830 57,154 35,888 33,676 25,264 23,716 29,351 4,849 387 185 43 1 0 — terminates at zero

Continued fraction of √n

√137,350 = [370; (1, 1, 1, 1, 4, 1, 1, 1, 10, 1, 1, 2, 2, 3, 1, 5, 2, 1, 5, 4, 11, 1, 10, 3, …)]

Representations

In words
one hundred thirty-seven thousand three hundred fifty
Ordinal
137350th
Binary
100001100010000110
Octal
414206
Hexadecimal
0x21886
Base64
AhiG
One's complement
4,294,829,945 (32-bit)
Scientific notation
1.3735 × 10⁵
As a duration
137,350 s = 1 day, 14 hours, 9 minutes, 10 seconds
In other bases
ternary (3) 20222102001
quaternary (4) 201202012
quinary (5) 13343400
senary (6) 2535514
septenary (7) 1111303
nonary (9) 228361
undecimal (11) 94214
duodecimal (12) 6759a
tridecimal (13) 4a695
tetradecimal (14) 380aa
pentadecimal (15) 2aa6a

As an angle

137,350° = 381 × 360° + 190°
190° ≈ 3.316 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζτνʹ
Mayan (base 20)
𝋱·𝋣·𝋧·𝋪
Chinese
一十三萬七千三百五十
Chinese (financial)
壹拾參萬柒仟參佰伍拾
In other modern scripts
Eastern Arabic ١٣٧٣٥٠ Devanagari १३७३५० Bengali ১৩৭৩৫০ Tamil ௧௩௭௩௫௦ Thai ๑๓๗๓๕๐ Tibetan ༡༣༧༣༥༠ Khmer ១៣៧៣៥០ Lao ໑໓໗໓໕໐ Burmese ၁၃၇၃၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137350, here are decompositions:

  • 11 + 137339 = 137350
  • 29 + 137321 = 137350
  • 47 + 137303 = 137350
  • 71 + 137279 = 137350
  • 131 + 137219 = 137350
  • 149 + 137201 = 137350
  • 167 + 137183 = 137350
  • 173 + 137177 = 137350

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢆
CJK Unified Ideograph-21886
U+21886
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 86 (4 bytes).

Hex color
#021886
RGB(2, 24, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.134.

Address
0.2.24.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.134

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 137,350 and was likely granted around 1872.

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

Position in π

The digit sequence 137350 first appears in π at position 544,786 of the decimal expansion (the 544,786ordinal-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