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137,362

137,362 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.).

137,362 (one hundred thirty-seven thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 173 × 397. Written other ways, in hexadecimal, 0x21892.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
263,731
Recamán's sequence
a(37,528) = 137,362
Square (n²)
18,868,319,044
Cube (n³)
2,591,790,040,521,928
Divisor count
8
σ(n) — sum of divisors
207,756
φ(n) — Euler's totient
68,112
Sum of prime factors
572

Primality

Prime factorization: 2 × 173 × 397

Nearest primes: 137,359 (−3) · 137,363 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 173 · 346 · 397 · 794 · 68681 (half) · 137362
Aliquot sum (sum of proper divisors): 70,394
Factor pairs (a × b = 137,362)
1 × 137362
2 × 68681
173 × 794
346 × 397
First multiples
137,362 · 274,724 (double) · 412,086 · 549,448 · 686,810 · 824,172 · 961,534 · 1,098,896 · 1,236,258 · 1,373,620

Sums & aliquot sequence

As a sum of two squares: 119² + 351² = 219² + 299²
As consecutive integers: 34,339 + 34,340 + 34,341 + 34,342 708 + 709 + … + 880 148 + 149 + … + 544
Aliquot sequence: 137,362 70,394 37,114 32,582 20,770 18,398 9,202 5,054 4,090 3,290 3,622 1,814 910 1,106 814 554 280 — unresolved within range

Continued fraction of √n

√137,362 = [370; (1, 1, 1, 1, 1, 12, 2, 1, 1, 1, 2, 1, 21, 12, 1, 22, 1, 81, 2, 2, 14, 1, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred sixty-two
Ordinal
137362nd
Binary
100001100010010010
Octal
414222
Hexadecimal
0x21892
Base64
AhiS
One's complement
4,294,829,933 (32-bit)
Scientific notation
1.37362 × 10⁵
As a duration
137,362 s = 1 day, 14 hours, 9 minutes, 22 seconds
In other bases
ternary (3) 20222102111
quaternary (4) 201202102
quinary (5) 13343422
senary (6) 2535534
septenary (7) 1111321
nonary (9) 228374
undecimal (11) 94225
duodecimal (12) 675aa
tridecimal (13) 4a6a4
tetradecimal (14) 380b8
pentadecimal (15) 2aa77
Palindromic in base 4, base 13

As an angle

137,362° = 381 × 360° + 202°
202° ≈ 3.526 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζτξβʹ
Mayan (base 20)
𝋱·𝋣·𝋨·𝋢
Chinese
一十三萬七千三百六十二
Chinese (financial)
壹拾參萬柒仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٧٣٦٢ Devanagari १३७३६२ Bengali ১৩৭৩৬২ Tamil ௧௩௭௩௬௨ Thai ๑๓๗๓๖๒ Tibetan ༡༣༧༣༦༢ Khmer ១៣៧៣៦២ Lao ໑໓໗໓໖໒ Burmese ၁၃၇၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137362, here are decompositions:

  • 3 + 137359 = 137362
  • 23 + 137339 = 137362
  • 41 + 137321 = 137362
  • 59 + 137303 = 137362
  • 83 + 137279 = 137362
  • 89 + 137273 = 137362
  • 179 + 137183 = 137362
  • 383 + 136979 = 137362

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢒
CJK Unified Ideograph-21892
U+21892
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 92 (4 bytes).

Hex color
#021892
RGB(2, 24, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.146.

Address
0.2.24.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.146

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 137,362 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 137362 first appears in π at position 376,763 of the decimal expansion (the 376,763ordinal-suffix:rd 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