Live analysis

137,006

137,006 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.).

137,006 (one hundred thirty-seven thousand six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 61 × 1,123. Written other ways, in hexadecimal, 0x2172E.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

136,994 136,995 136,996 136,997 136,998 136,999 137,000 137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 600,731
Square (n²): 18,770,644,036
Cube (n³): 2,571,690,856,796,216
Divisor count: 8
σ(n) — sum of divisors: 209,064
φ(n) — Euler's totient: 67,320
Sum of prime factors: 1,186

Primality

Prime factorization: 2 × 61 × 1123

Nearest primes: 136,999 (−7) · 137,029 (+23)

Divisors & multiples

All divisors (8)

1 · 2 · 61 · 122 · 1123 · 2246 · 68503 (half) · 137006

Aliquot sum (sum of proper divisors): 72,058

Factor pairs (a × b = 137,006)

1 × 137006

2 × 68503

61 × 2246

122 × 1123

First multiples

137,006 · 274,012 (double) · 411,018 · 548,024 · 685,030 · 822,036 · 959,042 · 1,096,048 · 1,233,054 · 1,370,060

Sums & aliquot sequence

As consecutive integers: 34,250 + 34,251 + 34,252 + 34,253 2,216 + 2,217 + … + 2,276 440 + 441 + … + 683

Aliquot sequence: 137,006 → 72,058 → 51,494 → 25,750 → 22,922 → 12,154 → 6,566 → 5,062 → 2,534 → 1,834 → 1,334 → 826 → 614 → 310 → 266 → 214 → 110 — unresolved within range

Continued fraction of √n

√137,006 = [370; (6, 1, 56, 11, 2, 1, 2, 4, 147, 1, 4, 1, 5, 11, 4, 1, 1, 2, 9, 4, 2, 29, 6, 29, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand six
Ordinal: 137006th
Binary: 100001011100101110
Octal: 413456
Hexadecimal: 0x2172E
Base64: Ahcu
One's complement: 4,294,830,289 (32-bit)
Scientific notation: 1.37006 × 10⁵
As a duration: 137,006 s = 1 day, 14 hours, 3 minutes, 26 seconds

In other bases

ternary (3) 20221221022

quaternary (4) 201130232

quinary (5) 13341011

senary (6) 2534142

septenary (7) 1110302

nonary (9) 227838

undecimal (11) 93a31

duodecimal (12) 67352

tridecimal (13) 4a48c

tetradecimal (14) 37d02

pentadecimal (15) 2a8db

As an angle

137,006° = 380 × 360° + 206°

206° ≈ 3.595 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζϛʹ
Mayan (base 20): 𝋱·𝋢·𝋪·𝋦
Chinese: 一十三萬七千零六
Chinese (financial): 壹拾參萬柒仟零陸

In other modern scripts

Eastern Arabic ١٣٧٠٠٦ Devanagari १३७००६ Bengali ১৩৭০০৬ Tamil ௧௩௭௦௦௬ Thai ๑๓๗๐๐๖ Tibetan ༡༣༧༠༠༦ Khmer ១៣៧០០៦ Lao ໑໓໗໐໐໖ Burmese ၁၃၇၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137006, here are decompositions:

7 + 136999 = 137006
13 + 136993 = 137006
19 + 136987 = 137006
43 + 136963 = 137006
109 + 136897 = 137006
127 + 136879 = 137006
157 + 136849 = 137006
193 + 136813 = 137006

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜮

CJK Unified Ideograph-2172E

U+2172E

Other letter (Lo)

UTF-8 encoding: F0 A1 9C AE (4 bytes).

Lookup U+2172E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02172E

RGB(2, 23, 46)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.46.

Address: 0.2.23.46
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.46

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 137,006 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US137,006 on Google Patents ↗ Look up on USPTO ↗