Live analysis

137,022

137,022 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.).

137,022 (one hundred thirty-seven thousand twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 557. Its proper divisors sum to 144,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2173E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024 137,025 137,026 137,027 137,028 137,029 137,030 137,031 137,032 137,033 137,034

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 220,731
Square (n²): 18,775,028,484
Cube (n³): 2,572,591,952,934,648
Divisor count: 16
σ(n) — sum of divisors: 281,232
φ(n) — Euler's totient: 44,480
Sum of prime factors: 603

Primality

Prime factorization: 2 × 3 × 41 × 557

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

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 41 · 82 · 123 · 246 · 557 · 1114 · 1671 · 3342 · 22837 · 45674 · 68511 (half) · 137022

Aliquot sum (sum of proper divisors): 144,210

Factor pairs (a × b = 137,022)

1 × 137022

2 × 68511

3 × 45674

6 × 22837

41 × 3342

82 × 1671

123 × 1114

246 × 557

First multiples

137,022 · 274,044 (double) · 411,066 · 548,088 · 685,110 · 822,132 · 959,154 · 1,096,176 · 1,233,198 · 1,370,220

Sums & aliquot sequence

As consecutive integers: 45,673 + 45,674 + 45,675 34,254 + 34,255 + 34,256 + 34,257 11,413 + 11,414 + … + 11,424 3,322 + 3,323 + … + 3,362

Aliquot sequence: 137,022 → 144,210 → 270,510 → 393,042 → 453,678 → 465,618 → 479,598 → 676,242 → 1,042,158 → 1,280,274 → 1,419,246 → 1,740,378 → 1,753,638 → 1,768,218 → 1,768,230 → 3,197,610 → 5,995,350 — unresolved within range

Continued fraction of √n

√137,022 = [370; (6, 14, 1, 16, 3, 1, 1, 6, 1, 2, 4, 1, 9, 5, 4, 2, 5, 1, 3, 2, 3, 3, 5, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand twenty-two
Ordinal: 137022nd
Binary: 100001011100111110
Octal: 413476
Hexadecimal: 0x2173E
Base64: Ahc+
One's complement: 4,294,830,273 (32-bit)
Scientific notation: 1.37022 × 10⁵
As a duration: 137,022 s = 1 day, 14 hours, 3 minutes, 42 seconds

In other bases

ternary (3) 20221221220

quaternary (4) 201130332

quinary (5) 13341042

senary (6) 2534210

septenary (7) 1110324

nonary (9) 227856

undecimal (11) 93a46

duodecimal (12) 67366

tridecimal (13) 4a4a2

tetradecimal (14) 37d14

pentadecimal (15) 2a8ec

As an angle

137,022° = 380 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζκβʹ
Mayan (base 20): 𝋱·𝋢·𝋫·𝋢
Chinese: 一十三萬七千零二十二
Chinese (financial): 壹拾參萬柒仟零貳拾貳

In other modern scripts

Eastern Arabic ١٣٧٠٢٢ Devanagari १३७०२२ Bengali ১৩৭০২২ Tamil ௧௩௭௦௨௨ Thai ๑๓๗๐๒๒ Tibetan ༡༣༧༠༢༢ Khmer ១៣៧០២២ Lao ໑໓໗໐໒໒ Burmese ၁၃၇၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137022, here are decompositions:

23 + 136999 = 137022
29 + 136993 = 137022
31 + 136991 = 137022
43 + 136979 = 137022
59 + 136963 = 137022
71 + 136951 = 137022
73 + 136949 = 137022
79 + 136943 = 137022

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜾

CJK Unified Ideograph-2173E

U+2173E

Other letter (Lo)

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

Lookup U+2173E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02173E

RGB(2, 23, 62)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.62.

Address: 0.2.23.62
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.62

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 137,022 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 US137,022 on Google Patents ↗ Look up on USPTO ↗