Live analysis

137,000

137,000 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.).

137,000 (one hundred thirty-seven thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 137. Its proper divisors sum to 185,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21728.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

136,988 136,989 136,990 136,991 136,992 136,993 136,994 136,995 136,996 136,997 136,998 136,999 137,000 137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 18 bits
Reversed: 731
Square (n²): 18,769,000,000
Cube (n³): 2,571,353,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 322,920
φ(n) — Euler's totient: 54,400
Sum of prime factors: 158

Primality

Prime factorization: 2 ³ × 5 ³ × 137

Nearest primes: 136,999 (−1) · 137,029 (+29)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 137 · 200 · 250 · 274 · 500 · 548 · 685 · 1000 · 1096 · 1370 · 2740 · 3425 · 5480 · 6850 · 13700 · 17125 · 27400 · 34250 · 68500 (half) · 137000

Aliquot sum (sum of proper divisors): 185,920

Factor pairs (a × b = 137,000)

1 × 137000

2 × 68500

4 × 34250

5 × 27400

8 × 17125

10 × 13700

20 × 6850

25 × 5480

40 × 3425

50 × 2740

100 × 1370

125 × 1096

137 × 1000

200 × 685

250 × 548

274 × 500

First multiples

137,000 · 274,000 (double) · 411,000 · 548,000 · 685,000 · 822,000 · 959,000 · 1,096,000 · 1,233,000 · 1,370,000

Sums & aliquot sequence

As a sum of two squares: 10² + 370² = 94² + 358² = 214² + 302² = 230² + 290²

As consecutive integers: 27,398 + 27,399 + 27,400 + 27,401 + 27,402 8,555 + 8,556 + … + 8,570 5,468 + 5,469 + … + 5,492 1,673 + 1,674 + … + 1,752

Aliquot sequence: 137,000 → 185,920 → 326,144 → 490,210 → 546,590 → 526,930 → 509,870 → 422,818 → 269,102 → 137,194 → 68,600 → 117,400 → 156,020 → 184,180 → 202,640 → 299,560 → 374,540 — unresolved within range

Continued fraction of √n

√137,000 = [370; (7, 2, 2, 29, 4, 1, 6, 1, 1, 1, 1, 29, 185, 29, 1, 1, 1, 1, 6, 1, 4, 29, 2, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand
Ordinal: 137000th
Binary: 100001011100101000
Octal: 413450
Hexadecimal: 0x21728
Base64: Ahco
One's complement: 4,294,830,295 (32-bit)
Scientific notation: 1.37 × 10⁵
As a duration: 137,000 s = 1 day, 14 hours, 3 minutes, 20 seconds

In other bases

ternary (3) 20221221002

quaternary (4) 201130220

quinary (5) 13341000

senary (6) 2534132

septenary (7) 1110263

nonary (9) 227832

undecimal (11) 93a26

duodecimal (12) 67348

tridecimal (13) 4a486

tetradecimal (14) 37cda

pentadecimal (15) 2a8d5

As an angle

137,000° = 380 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρλζ
Mayan (base 20): 𝋱·𝋢·𝋪·𝋠
Chinese: 一十三萬七千
Chinese (financial): 壹拾參萬柒仟

In other modern scripts

Eastern Arabic ١٣٧٠٠٠ Devanagari १३७००० Bengali ১৩৭০০০ Tamil ௧௩௭௦௦௦ Thai ๑๓๗๐๐๐ Tibetan ༡༣༧༠༠༠ Khmer ១៣៧០០០ Lao ໑໓໗໐໐໐ Burmese ၁၃၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137000, here are decompositions:

7 + 136993 = 137000
13 + 136987 = 137000
37 + 136963 = 137000
103 + 136897 = 137000
139 + 136861 = 137000
151 + 136849 = 137000
223 + 136777 = 137000
307 + 136693 = 137000

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜨

CJK Unified Ideograph-21728

U+21728

Other letter (Lo)

UTF-8 encoding: F0 A1 9C A8 (4 bytes).

Lookup U+21728 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021728

RGB(2, 23, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.40.

Address: 0.2.23.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.40

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 137,000 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 US137,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137000 first appears in π at position 178,990 of the decimal expansion (the 178,990ordinal-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.

Look up 137000 on Pi Search ↗