number.wiki
Live analysis

137,642

137,642 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.).

137,642 (one hundred thirty-seven thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,821. Written other ways, in hexadecimal, 0x219AA.

Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
246,731
Recamán's sequence
a(493,543) = 137,642
Square (n²)
18,945,320,164
Cube (n³)
2,607,671,758,013,288
Divisor count
4
σ(n) — sum of divisors
206,466
φ(n) — Euler's totient
68,820
Sum of prime factors
68,823

Primality

Prime factorization: 2 × 68821

Nearest primes: 137,639 (−3) · 137,653 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 68821 (half) · 137642
Aliquot sum (sum of proper divisors): 68,824
Factor pairs (a × b = 137,642)
1 × 137642
2 × 68821
First multiples
137,642 · 275,284 (double) · 412,926 · 550,568 · 688,210 · 825,852 · 963,494 · 1,101,136 · 1,238,778 · 1,376,420

Sums & aliquot sequence

As a sum of two squares: 1² + 371²
As consecutive integers: 34,409 + 34,410 + 34,411 + 34,412
Aliquot sequence: 137,642 68,824 78,776 73,024 93,600 261,846 366,474 374,838 374,850 865,584 1,557,252 2,480,348 2,194,252 1,657,764 2,532,786 2,651,118 2,881,938 — unresolved within range

Continued fraction of √n

√137,642 = [371; (742)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred forty-two
Ordinal
137642nd
Binary
100001100110101010
Octal
414652
Hexadecimal
0x219AA
Base64
Ahmq
One's complement
4,294,829,653 (32-bit)
Scientific notation
1.37642 × 10⁵
As a duration
137,642 s = 1 day, 14 hours, 14 minutes, 2 seconds
In other bases
ternary (3) 20222210212
quaternary (4) 201212222
quinary (5) 13401032
senary (6) 2541122
septenary (7) 1112201
nonary (9) 228725
undecimal (11) 9445a
duodecimal (12) 677a2
tridecimal (13) 4a85b
tetradecimal (14) 38238
pentadecimal (15) 2abb2

As an angle

137,642° = 382 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζχμβʹ
Mayan (base 20)
𝋱·𝋤·𝋢·𝋢
Chinese
一十三萬七千六百四十二
Chinese (financial)
壹拾參萬柒仟陸佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٧٦٤٢ Devanagari १३७६४२ Bengali ১৩৭৬৪২ Tamil ௧௩௭௬௪௨ Thai ๑๓๗๖๔๒ Tibetan ༡༣༧༦༤༢ Khmer ១៣៧៦៤២ Lao ໑໓໗໖໔໒ Burmese ၁၃၇၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137642, here are decompositions:

  • 3 + 137639 = 137642
  • 19 + 137623 = 137642
  • 151 + 137491 = 137642
  • 199 + 137443 = 137642
  • 229 + 137413 = 137642
  • 283 + 137359 = 137642
  • 433 + 137209 = 137642
  • 499 + 137143 = 137642

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦪
CJK Unified Ideograph-219Aa
U+219AA
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 AA (4 bytes).

Hex color
#0219AA
RGB(2, 25, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.170.

Address
0.2.25.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.170

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 137,642 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 137642 first appears in π at position 996,516 of the decimal expansion (the 996,516ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.