Live analysis

137,004

137,004 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.).

137,004 (one hundred thirty-seven thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7² × 233. Its proper divisors sum to 236,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2172C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

136,992 136,993 136,994 136,995 136,996 136,997 136,998 136,999 137,000 137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 400,731
Square (n²): 18,770,096,016
Cube (n³): 2,571,578,234,576,064
Divisor count: 36
σ(n) — sum of divisors: 373,464
φ(n) — Euler's totient: 38,976
Sum of prime factors: 254

Primality

Prime factorization: 2 ² × 3 × 7 ² × 233

Nearest primes: 136,999 (−5) · 137,029 (+25)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 49 · 84 · 98 · 147 · 196 · 233 · 294 · 466 · 588 · 699 · 932 · 1398 · 1631 · 2796 · 3262 · 4893 · 6524 · 9786 · 11417 · 19572 · 22834 · 34251 · 45668 · 68502 (half) · 137004

Aliquot sum (sum of proper divisors): 236,460

Factor pairs (a × b = 137,004)

1 × 137004

2 × 68502

3 × 45668

4 × 34251

6 × 22834

7 × 19572

12 × 11417

14 × 9786

21 × 6524

28 × 4893

42 × 3262

49 × 2796

84 × 1631

98 × 1398

147 × 932

196 × 699

233 × 588

294 × 466

First multiples

137,004 · 274,008 (double) · 411,012 · 548,016 · 685,020 · 822,024 · 959,028 · 1,096,032 · 1,233,036 · 1,370,040

Sums & aliquot sequence

As consecutive integers: 45,667 + 45,668 + 45,669 19,569 + 19,570 + … + 19,575 17,122 + 17,123 + … + 17,129 6,514 + 6,515 + … + 6,534

Aliquot sequence: 137,004 → 236,460 → 521,556 → 895,692 → 1,493,044 → 1,493,100 → 4,062,100 → 6,204,170 → 6,645,238 → 3,343,250 → 3,081,454 → 1,812,674 → 1,000,186 → 649,280 → 897,580 → 987,380 → 1,086,160 — unresolved within range

Continued fraction of √n

√137,004 = [370; (7, 8, 1, 1, 3, 3, 1, 2, 1, 5, 2, 3, 3, 6, 2, 19, 1, 1, 5, 7, 4, 1, 1, 14, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand four
Ordinal: 137004th
Binary: 100001011100101100
Octal: 413454
Hexadecimal: 0x2172C
Base64: Ahcs
One's complement: 4,294,830,291 (32-bit)
Scientific notation: 1.37004 × 10⁵
As a duration: 137,004 s = 1 day, 14 hours, 3 minutes, 24 seconds

In other bases

ternary (3) 20221221020

quaternary (4) 201130230

quinary (5) 13341004

senary (6) 2534140

septenary (7) 1110300

nonary (9) 227836

undecimal (11) 93a2a

duodecimal (12) 67350

tridecimal (13) 4a48a

tetradecimal (14) 37d00

pentadecimal (15) 2a8d9

As an angle

137,004° = 380 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζδʹ
Mayan (base 20): 𝋱·𝋢·𝋪·𝋤
Chinese: 一十三萬七千零四
Chinese (financial): 壹拾參萬柒仟零肆

In other modern scripts

Eastern Arabic ١٣٧٠٠٤ Devanagari १३७००४ Bengali ১৩৭০০৪ Tamil ௧௩௭௦௦௪ Thai ๑๓๗๐๐๔ Tibetan ༡༣༧༠༠༤ Khmer ១៣៧០០៤ Lao ໑໓໗໐໐໔ Burmese ၁၃၇၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137004, here are decompositions:

5 + 136999 = 137004
11 + 136993 = 137004
13 + 136991 = 137004
17 + 136987 = 137004
31 + 136973 = 137004
41 + 136963 = 137004
53 + 136951 = 137004
61 + 136943 = 137004

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜬

CJK Unified Ideograph-2172C

U+2172C

Other letter (Lo)

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

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

Hex color

#02172C

RGB(2, 23, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.44.

Address: 0.2.23.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.44

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 137,004 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 US137,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137004 first appears in π at position 266,555 of the decimal expansion (the 266,555ordinal-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 137004 on Pi Search ↗