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137,354

137,354 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.).

137,354 (one hundred thirty-seven thousand three hundred fifty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 9,811. Written other ways, in hexadecimal, 0x2188A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
453,731
Recamán's sequence
a(37,512) = 137,354
Square (n²)
18,866,121,316
Cube (n³)
2,591,337,227,237,864
Divisor count
8
σ(n) — sum of divisors
235,488
φ(n) — Euler's totient
58,860
Sum of prime factors
9,820

Primality

Prime factorization: 2 × 7 × 9811

Nearest primes: 137,353 (−1) · 137,359 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 9811 · 19622 · 68677 (half) · 137354
Aliquot sum (sum of proper divisors): 98,134
Factor pairs (a × b = 137,354)
1 × 137354
2 × 68677
7 × 19622
14 × 9811
First multiples
137,354 · 274,708 (double) · 412,062 · 549,416 · 686,770 · 824,124 · 961,478 · 1,098,832 · 1,236,186 · 1,373,540

Sums & aliquot sequence

As consecutive integers: 34,337 + 34,338 + 34,339 + 34,340 19,619 + 19,620 + … + 19,625 4,892 + 4,893 + … + 4,919
Aliquot sequence: 137,354 98,134 50,546 26,254 13,130 12,574 6,290 6,022 3,014 1,954 980 1,414 1,034 694 350 394 200 — unresolved within range

Continued fraction of √n

√137,354 = [370; (1, 1, 1, 1, 2, 2, 9, 1, 2, 1, 3, 3, 1, 4, 6, 1, 73, 3, 1, 4, 1, 3, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred fifty-four
Ordinal
137354th
Binary
100001100010001010
Octal
414212
Hexadecimal
0x2188A
Base64
AhiK
One's complement
4,294,829,941 (32-bit)
Scientific notation
1.37354 × 10⁵
As a duration
137,354 s = 1 day, 14 hours, 9 minutes, 14 seconds
In other bases
ternary (3) 20222102012
quaternary (4) 201202022
quinary (5) 13343404
senary (6) 2535522
septenary (7) 1111310
nonary (9) 228365
undecimal (11) 94218
duodecimal (12) 675a2
tridecimal (13) 4a699
tetradecimal (14) 380b0
pentadecimal (15) 2aa6e

As an angle

137,354° = 381 × 360° + 194°
194° ≈ 3.386 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτνδʹ
Mayan (base 20)
𝋱·𝋣·𝋧·𝋮
Chinese
一十三萬七千三百五十四
Chinese (financial)
壹拾參萬柒仟參佰伍拾肆
In other modern scripts
Eastern Arabic ١٣٧٣٥٤ Devanagari १३७३५४ Bengali ১৩৭৩৫৪ Tamil ௧௩௭௩௫௪ Thai ๑๓๗๓๕๔ Tibetan ༡༣༧༣༥༤ Khmer ១៣៧៣៥៤ Lao ໑໓໗໓໕໔ Burmese ၁၃၇၃၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137354, here are decompositions:

  • 13 + 137341 = 137354
  • 103 + 137251 = 137354
  • 157 + 137197 = 137354
  • 163 + 137191 = 137354
  • 211 + 137143 = 137354
  • 223 + 137131 = 137354
  • 277 + 137077 = 137354
  • 367 + 136987 = 137354

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢊
CJK Unified Ideograph-2188A
U+2188A
Other letter (Lo)

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

Hex color
#02188A
RGB(2, 24, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.138.

Address
0.2.24.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.138

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 137,354 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 137354 first appears in π at position 597,832 of the decimal expansion (the 597,832ordinal-suffix:nd 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.