Live analysis

137,042

137,042 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.).

137,042 (one hundred thirty-seven thousand forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,521. Written other ways, in hexadecimal, 0x21752.

Cube-Free Deficient Number Evil Number Happy Number Self Number Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,030 137,031 137,032 137,033 137,034 137,035 137,036 137,037 137,038 137,039 137,040 137,041 137,042 137,043 137,044 137,045 137,046 137,047 137,048 137,049 137,050 137,051 137,052 137,053 137,054

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 240,731
Square (n²): 18,780,509,764
Cube (n³): 2,573,718,619,078,088
Divisor count: 4
σ(n) — sum of divisors: 205,566
φ(n) — Euler's totient: 68,520
Sum of prime factors: 68,523

Primality

Prime factorization: 2 × 68521

Nearest primes: 137,029 (−13) · 137,077 (+35)

Divisors & multiples

All divisors (4)

1 · 2 · 68521 (half) · 137042

Aliquot sum (sum of proper divisors): 68,524

Factor pairs (a × b = 137,042)

1 × 137042

2 × 68521

First multiples

137,042 · 274,084 (double) · 411,126 · 548,168 · 685,210 · 822,252 · 959,294 · 1,096,336 · 1,233,378 · 1,370,420

Sums & aliquot sequence

As a sum of two squares: 241² + 281²

As consecutive integers: 34,259 + 34,260 + 34,261 + 34,262

Aliquot sequence: 137,042 → 68,524 → 54,900 → 120,002 → 66,298 → 33,152 → 44,368 → 44,912 → 54,784 → 55,700 → 65,386 → 32,696 → 30,544 → 31,952 → 29,986 → 21,854 → 16,450 — unresolved within range

Continued fraction of √n

√137,042 = [370; (5, 4, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 4, 5, 740)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand forty-two
Ordinal: 137042nd
Binary: 100001011101010010
Octal: 413522
Hexadecimal: 0x21752
Base64: AhdS
One's complement: 4,294,830,253 (32-bit)
Scientific notation: 1.37042 × 10⁵
As a duration: 137,042 s = 1 day, 14 hours, 4 minutes, 2 seconds

In other bases

ternary (3) 20221222122

quaternary (4) 201131102

quinary (5) 13341132

senary (6) 2534242

septenary (7) 1110353

nonary (9) 227878

undecimal (11) 93a64

duodecimal (12) 67382

tridecimal (13) 4a4b9

tetradecimal (14) 37d2a

pentadecimal (15) 2a912

Palindromic in base 4

As an angle

137,042° = 380 × 360° + 242°

242° ≈ 4.224 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζμβʹ
Mayan (base 20): 𝋱·𝋢·𝋬·𝋢
Chinese: 一十三萬七千零四十二
Chinese (financial): 壹拾參萬柒仟零肆拾貳

In other modern scripts

Eastern Arabic ١٣٧٠٤٢ Devanagari १३७०४२ Bengali ১৩৭০৪২ Tamil ௧௩௭௦௪௨ Thai ๑๓๗๐๔๒ Tibetan ༡༣༧༠༤༢ Khmer ១៣៧០៤២ Lao ໑໓໗໐໔໒ Burmese ၁၃၇၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137042, here are decompositions:

13 + 137029 = 137042
43 + 136999 = 137042
79 + 136963 = 137042
163 + 136879 = 137042
181 + 136861 = 137042
193 + 136849 = 137042
229 + 136813 = 137042
331 + 136711 = 137042

Showing the first eight; more decompositions exist.

Unicode codepoint

𡝒

CJK Unified Ideograph-21752

U+21752

Other letter (Lo)

UTF-8 encoding: F0 A1 9D 92 (4 bytes).

Lookup U+21752 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021752

RGB(2, 23, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.82.

Address: 0.2.23.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.82

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 137,042 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 US137,042 on Google Patents ↗ Look up on USPTO ↗