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137,606

137,606 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.).

137,606 (one hundred thirty-seven thousand six hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 9,829. Written other ways, in hexadecimal, 0x21986.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
606,731
Recamán's sequence
a(493,615) = 137,606
Square (n²)
18,935,411,236
Cube (n³)
2,605,626,198,541,016
Divisor count
8
σ(n) — sum of divisors
235,920
φ(n) — Euler's totient
58,968
Sum of prime factors
9,838

Primality

Prime factorization: 2 × 7 × 9829

Nearest primes: 137,597 (−9) · 137,623 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 9829 · 19658 · 68803 (half) · 137606
Aliquot sum (sum of proper divisors): 98,314
Factor pairs (a × b = 137,606)
1 × 137606
2 × 68803
7 × 19658
14 × 9829
First multiples
137,606 · 275,212 (double) · 412,818 · 550,424 · 688,030 · 825,636 · 963,242 · 1,100,848 · 1,238,454 · 1,376,060

Sums & aliquot sequence

As consecutive integers: 34,400 + 34,401 + 34,402 + 34,403 19,655 + 19,656 + … + 19,661 4,901 + 4,902 + … + 4,928
Aliquot sequence: 137,606 98,314 49,160 61,540 76,052 57,046 36,338 18,172 22,148 23,338 16,694 9,874 4,940 6,820 9,308 8,332 6,256 — unresolved within range

Continued fraction of √n

√137,606 = [370; (1, 20, 5, 29, 2, 10, 1, 11, 1, 7, 4, 2, 1, 10, 1, 2, 1, 1, 1, 1, 23, 3, 8, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred six
Ordinal
137606th
Binary
100001100110000110
Octal
414606
Hexadecimal
0x21986
Base64
AhmG
One's complement
4,294,829,689 (32-bit)
Scientific notation
1.37606 × 10⁵
As a duration
137,606 s = 1 day, 14 hours, 13 minutes, 26 seconds
In other bases
ternary (3) 20222202112
quaternary (4) 201212012
quinary (5) 13400411
senary (6) 2541022
septenary (7) 1112120
nonary (9) 228675
undecimal (11) 94427
duodecimal (12) 67772
tridecimal (13) 4a831
tetradecimal (14) 38210
pentadecimal (15) 2ab8b

As an angle

137,606° = 382 × 360° + 86°
86° ≈ 1.501 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχϛʹ
Mayan (base 20)
𝋱·𝋤·𝋠·𝋦
Chinese
一十三萬七千六百零六
Chinese (financial)
壹拾參萬柒仟陸佰零陸
In other modern scripts
Eastern Arabic ١٣٧٦٠٦ Devanagari १३७६०६ Bengali ১৩৭৬০৬ Tamil ௧௩௭௬௦௬ Thai ๑๓๗๖๐๖ Tibetan ༡༣༧༦༠༦ Khmer ១៣៧៦០៦ Lao ໑໓໗໖໐໖ Burmese ၁၃၇၆၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137606, here are decompositions:

  • 13 + 137593 = 137606
  • 19 + 137587 = 137606
  • 163 + 137443 = 137606
  • 193 + 137413 = 137606
  • 223 + 137383 = 137606
  • 367 + 137239 = 137606
  • 397 + 137209 = 137606
  • 409 + 137197 = 137606

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦆
CJK Unified Ideograph-21986
U+21986
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 86 (4 bytes).

Hex color
#021986
RGB(2, 25, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.134.

Address
0.2.25.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.134

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 137,606 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 137606 first appears in π at position 950,803 of the decimal expansion (the 950,803ordinal-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

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