Live analysis

137,024

137,024 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.).

137,024 (one hundred thirty-seven thousand twenty-four) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,141. Written other ways, in hexadecimal, 0x21740.

Arithmetic Number Deficient Number Evil Number Happy Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

137,012 137,013 137,014 137,015 137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024 137,025 137,026 137,027 137,028 137,029 137,030 137,031 137,032 137,033 137,034 137,035 137,036

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 420,731
Square (n²): 18,775,576,576
Cube (n³): 2,572,704,604,749,824
Divisor count: 14
σ(n) — sum of divisors: 272,034
φ(n) — Euler's totient: 68,480
Sum of prime factors: 2,153

Primality

Prime factorization: 2 ⁶ × 2141

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

Divisors & multiples

All divisors (14)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 2141 · 4282 · 8564 · 17128 · 34256 · 68512 (half) · 137024

Aliquot sum (sum of proper divisors): 135,010

Factor pairs (a × b = 137,024)

1 × 137024

2 × 68512

4 × 34256

8 × 17128

16 × 8564

32 × 4282

64 × 2141

First multiples

137,024 · 274,048 (double) · 411,072 · 548,096 · 685,120 · 822,144 · 959,168 · 1,096,192 · 1,233,216 · 1,370,240

Sums & aliquot sequence

As a sum of two squares: 40² + 368²

As consecutive integers: 1,007 + 1,008 + … + 1,134

Aliquot sequence: 137,024 → 135,010 → 119,006 → 61,114 → 30,560 → 42,016 → 47,948 → 35,968 → 35,942 → 17,974 → 13,706 → 12,214 → 6,794 → 3,766 → 2,714 → 1,606 → 1,058 — unresolved within range

Continued fraction of √n

√137,024 = [370; (5, 1, 31, 2, 1, 4, 2, 3, 2, 1, 1, 1, 1, 17, 2, 3, 1, 8, 2, 10, 2, 2, 2, 2, …)]

Representations

In words: one hundred thirty-seven thousand twenty-four
Ordinal: 137024th
Binary: 100001011101000000
Octal: 413500
Hexadecimal: 0x21740
Base64: AhdA
One's complement: 4,294,830,271 (32-bit)
Scientific notation: 1.37024 × 10⁵
As a duration: 137,024 s = 1 day, 14 hours, 3 minutes, 44 seconds

In other bases

ternary (3) 20221221222

quaternary (4) 201131000

quinary (5) 13341044

senary (6) 2534212

septenary (7) 1110326

nonary (9) 227858

undecimal (11) 93a48

duodecimal (12) 67368

tridecimal (13) 4a4a4

tetradecimal (14) 37d16

pentadecimal (15) 2a8ee

Palindromic in base 13

As an angle

137,024° = 380 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζκδʹ
Mayan (base 20): 𝋱·𝋢·𝋫·𝋤
Chinese: 一十三萬七千零二十四
Chinese (financial): 壹拾參萬柒仟零貳拾肆

In other modern scripts

Eastern Arabic ١٣٧٠٢٤ Devanagari १३७०२४ Bengali ১৩৭০২৪ Tamil ௧௩௭௦௨௪ Thai ๑๓๗๐๒๔ Tibetan ༡༣༧༠༢༤ Khmer ១៣៧០២៤ Lao ໑໓໗໐໒໔ Burmese ၁၃၇၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137024, here are decompositions:

31 + 136993 = 137024
37 + 136987 = 137024
61 + 136963 = 137024
73 + 136951 = 137024
127 + 136897 = 137024
163 + 136861 = 137024
211 + 136813 = 137024
271 + 136753 = 137024

Showing the first eight; more decompositions exist.

Unicode codepoint

𡝀

CJK Unified Ideograph-21740

U+21740

Other letter (Lo)

UTF-8 encoding: F0 A1 9D 80 (4 bytes).

Lookup U+21740 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021740

RGB(2, 23, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.64.

Address: 0.2.23.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.64

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 137,024 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 US137,024 on Google Patents ↗ Look up on USPTO ↗