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137,542

137,542 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.).

137,542 (one hundred thirty-seven thousand five hundred forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,771. Written other ways, in hexadecimal, 0x21946.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
245,731
Recamán's sequence
a(493,743) = 137,542
Square (n²)
18,917,801,764
Cube (n³)
2,601,992,290,224,088
Divisor count
4
σ(n) — sum of divisors
206,316
φ(n) — Euler's totient
68,770
Sum of prime factors
68,773

Primality

Prime factorization: 2 × 68771

Nearest primes: 137,537 (−5) · 137,567 (+25)

Divisors & multiples

All divisors (4)
1 · 2 · 68771 (half) · 137542
Aliquot sum (sum of proper divisors): 68,774
Factor pairs (a × b = 137,542)
1 × 137542
2 × 68771
First multiples
137,542 · 275,084 (double) · 412,626 · 550,168 · 687,710 · 825,252 · 962,794 · 1,100,336 · 1,237,878 · 1,375,420

Sums & aliquot sequence

As consecutive integers: 34,384 + 34,385 + 34,386 + 34,387
Aliquot sequence: 137,542 68,774 35,554 19,706 10,534 6,026 3,478 1,994 1,000 1,340 1,516 1,144 1,376 1,396 1,054 674 340 — unresolved within range

Continued fraction of √n

√137,542 = [370; (1, 6, 2, 38, 1, 1, 2, 1, 40, 2, 33, 4, 1, 1, 11, 1, 1, 1, 1, 8, 1, 1, 4, 7, …)]

Representations

In words
one hundred thirty-seven thousand five hundred forty-two
Ordinal
137542nd
Binary
100001100101000110
Octal
414506
Hexadecimal
0x21946
Base64
AhlG
One's complement
4,294,829,753 (32-bit)
Scientific notation
1.37542 × 10⁵
As a duration
137,542 s = 1 day, 14 hours, 12 minutes, 22 seconds
In other bases
ternary (3) 20222200011
quaternary (4) 201211012
quinary (5) 13400132
senary (6) 2540434
septenary (7) 1111666
nonary (9) 228604
undecimal (11) 94379
duodecimal (12) 6771a
tridecimal (13) 4a7b2
tetradecimal (14) 381a6
pentadecimal (15) 2ab47

As an angle

137,542° = 382 × 360° + 22°
22° ≈ 0.384 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζφμβʹ
Mayan (base 20)
𝋱·𝋣·𝋱·𝋢
Chinese
一十三萬七千五百四十二
Chinese (financial)
壹拾參萬柒仟伍佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٧٥٤٢ Devanagari १३७५४२ Bengali ১৩৭৫৪২ Tamil ௧௩௭௫௪௨ Thai ๑๓๗๕๔๒ Tibetan ༡༣༧༥༤༢ Khmer ១៣៧៥៤២ Lao ໑໓໗໕໔໒ Burmese ၁၃၇၅၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137542, here are decompositions:

  • 5 + 137537 = 137542
  • 23 + 137519 = 137542
  • 59 + 137483 = 137542
  • 89 + 137453 = 137542
  • 149 + 137393 = 137542
  • 173 + 137369 = 137542
  • 179 + 137363 = 137542
  • 239 + 137303 = 137542

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥆
CJK Unified Ideograph-21946
U+21946
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 86 (4 bytes).

Hex color
#021946
RGB(2, 25, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.70.

Address
0.2.25.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.70

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 137,542 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 137542 first appears in π at position 162,548 of the decimal expansion (the 162,548ordinal-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