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137,242

137,242 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.).

137,242 (one hundred thirty-seven thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 9,803. Written other ways, in hexadecimal, 0x2181A.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
336
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
242,731
Square (n²)
18,835,366,564
Cube (n³)
2,585,003,377,976,488
Divisor count
8
σ(n) — sum of divisors
235,296
φ(n) — Euler's totient
58,812
Sum of prime factors
9,812

Primality

Prime factorization: 2 × 7 × 9803

Nearest primes: 137,239 (−3) · 137,251 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 9803 · 19606 · 68621 (half) · 137242
Aliquot sum (sum of proper divisors): 98,054
Factor pairs (a × b = 137,242)
1 × 137242
2 × 68621
7 × 19606
14 × 9803
First multiples
137,242 · 274,484 (double) · 411,726 · 548,968 · 686,210 · 823,452 · 960,694 · 1,097,936 · 1,235,178 · 1,372,420

Sums & aliquot sequence

As consecutive integers: 34,309 + 34,310 + 34,311 + 34,312 19,603 + 19,604 + … + 19,609 4,888 + 4,889 + … + 4,915
Aliquot sequence: 137,242 98,054 62,434 41,246 22,258 12,302 6,154 3,674 2,374 1,190 1,402 704 820 944 916 694 350 — unresolved within range

Continued fraction of √n

√137,242 = [370; (2, 6, 17, 2, 19, 82, 3, 1, 1, 1, 9, 1, 1, 18, 2, 8, 1, 8, 3, 1, 23, 6, 1, 18, …)]

Representations

In words
one hundred thirty-seven thousand two hundred forty-two
Ordinal
137242nd
Binary
100001100000011010
Octal
414032
Hexadecimal
0x2181A
Base64
Ahga
One's complement
4,294,830,053 (32-bit)
Scientific notation
1.37242 × 10⁵
As a duration
137,242 s = 1 day, 14 hours, 7 minutes, 22 seconds
In other bases
ternary (3) 20222021001
quaternary (4) 201200122
quinary (5) 13342432
senary (6) 2535214
septenary (7) 1111060
nonary (9) 228231
undecimal (11) 94126
duodecimal (12) 6750a
tridecimal (13) 4a611
tetradecimal (14) 38030
pentadecimal (15) 2a9e7

As an angle

137,242° = 381 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζσμβʹ
Mayan (base 20)
𝋱·𝋣·𝋢·𝋢
Chinese
一十三萬七千二百四十二
Chinese (financial)
壹拾參萬柒仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٧٢٤٢ Devanagari १३७२४२ Bengali ১৩৭২৪২ Tamil ௧௩௭௨௪௨ Thai ๑๓๗๒๔๒ Tibetan ༡༣༧༢༤༢ Khmer ១៣៧២៤២ Lao ໑໓໗໒໔໒ Burmese ၁၃၇၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137242, here are decompositions:

  • 3 + 137239 = 137242
  • 23 + 137219 = 137242
  • 41 + 137201 = 137242
  • 59 + 137183 = 137242
  • 89 + 137153 = 137242
  • 251 + 136991 = 137242
  • 263 + 136979 = 137242
  • 269 + 136973 = 137242

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠚
CJK Unified Ideograph-2181A
U+2181A
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 9A (4 bytes).

Hex color
#02181A
RGB(2, 24, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.26.

Address
0.2.24.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.26

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 137,242 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 137242 first appears in π at position 804,389 of the decimal expansion (the 804,389ordinal-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