Live analysis

137,012

137,012 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.).

137,012 (one hundred thirty-seven thousand twelve) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,253. Written other ways, in hexadecimal, 0x21734.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

137,000 137,001 137,002 137,003 137,004 137,005 137,006 137,007 137,008 137,009 137,010 137,011 137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 18 bits
Reversed: 210,731
Square (n²): 18,772,288,144
Cube (n³): 2,572,028,743,185,728
Divisor count: 6
σ(n) — sum of divisors: 239,778
φ(n) — Euler's totient: 68,504
Sum of prime factors: 34,257

Primality

Prime factorization: 2 ² × 34253

Nearest primes: 136,999 (−13) · 137,029 (+17)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 34253 · 68506 (half) · 137012

Aliquot sum (sum of proper divisors): 102,766

Factor pairs (a × b = 137,012)

1 × 137012

2 × 68506

4 × 34253

First multiples

137,012 · 274,024 (double) · 411,036 · 548,048 · 685,060 · 822,072 · 959,084 · 1,096,096 · 1,233,108 · 1,370,120

Sums & aliquot sequence

As a sum of two squares: 196² + 314²

As consecutive integers: 17,123 + 17,124 + … + 17,130

Aliquot sequence: 137,012 → 102,766 → 51,386 → 25,696 → 30,248 → 29,752 → 26,048 → 31,864 → 36,536 → 31,984 → 30,016 → 39,072 → 75,840 → 168,000 → 465,984 → 871,326 → 1,016,586 — unresolved within range

Continued fraction of √n

√137,012 = [370; (6, 1, 1, 1, 1, 4, 9, 6, 1, 1, 184, 1, 1, 6, 9, 4, 1, 1, 1, 1, 6, 740)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand twelve
Ordinal: 137012th
Binary: 100001011100110100
Octal: 413464
Hexadecimal: 0x21734
Base64: Ahc0
One's complement: 4,294,830,283 (32-bit)
Scientific notation: 1.37012 × 10⁵
As a duration: 137,012 s = 1 day, 14 hours, 3 minutes, 32 seconds

In other bases

ternary (3) 20221221112

quaternary (4) 201130310

quinary (5) 13341022

senary (6) 2534152

septenary (7) 1110311

nonary (9) 227845

undecimal (11) 93a37

duodecimal (12) 67358

tridecimal (13) 4a495

tetradecimal (14) 37d08

pentadecimal (15) 2a8e2

As an angle

137,012° = 380 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian): ͵ρλζιβʹ
Mayan (base 20): 𝋱·𝋢·𝋪·𝋬
Chinese: 一十三萬七千零一十二
Chinese (financial): 壹拾參萬柒仟零壹拾貳

In other modern scripts

Eastern Arabic ١٣٧٠١٢ Devanagari १३७०१२ Bengali ১৩৭০১২ Tamil ௧௩௭௦௧௨ Thai ๑๓๗๐๑๒ Tibetan ༡༣༧༠༡༢ Khmer ១៣៧០១២ Lao ໑໓໗໐໑໒ Burmese ၁၃၇၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137012, here are decompositions:

13 + 136999 = 137012
19 + 136993 = 137012
61 + 136951 = 137012
151 + 136861 = 137012
163 + 136849 = 137012
199 + 136813 = 137012
409 + 136603 = 137012
439 + 136573 = 137012

Showing the first eight; more decompositions exist.

Unicode codepoint

𡜴

CJK Unified Ideograph-21734

U+21734

Other letter (Lo)

UTF-8 encoding: F0 A1 9C B4 (4 bytes).

Lookup U+21734 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021734

RGB(2, 23, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.52.

Address: 0.2.23.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.52

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 137,012 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 US137,012 on Google Patents ↗ Look up on USPTO ↗