Live analysis

137,232

137,232 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.).

137,232 (one hundred thirty-seven thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 953. Its proper divisors sum to 247,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21810.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,220 137,221 137,222 137,223 137,224 137,225 137,226 137,227 137,228 137,229 137,230 137,231 137,232 137,233 137,234 137,235 137,236 137,237 137,238 137,239 137,240 137,241 137,242 137,243 137,244

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 252
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 232,731
Square (n²): 18,832,621,824
Cube (n³): 2,584,438,358,151,168
Divisor count: 30
σ(n) — sum of divisors: 384,462
φ(n) — Euler's totient: 45,696
Sum of prime factors: 967

Primality

Prime factorization: 2 ⁴ × 3 ² × 953

Nearest primes: 137,219 (−13) · 137,239 (+7)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 953 · 1906 · 2859 · 3812 · 5718 · 7624 · 8577 · 11436 · 15248 · 17154 · 22872 · 34308 · 45744 · 68616 (half) · 137232

Aliquot sum (sum of proper divisors): 247,230

Factor pairs (a × b = 137,232)

1 × 137232

2 × 68616

3 × 45744

4 × 34308

6 × 22872

8 × 17154

9 × 15248

12 × 11436

16 × 8577

18 × 7624

24 × 5718

36 × 3812

48 × 2859

72 × 1906

144 × 953

First multiples

137,232 · 274,464 (double) · 411,696 · 548,928 · 686,160 · 823,392 · 960,624 · 1,097,856 · 1,235,088 · 1,372,320

Sums & aliquot sequence

As a sum of two squares: 156² + 336²

As consecutive integers: 45,743 + 45,744 + 45,745 15,244 + 15,245 + … + 15,252 4,273 + 4,274 + … + 4,304 1,382 + 1,383 + … + 1,477

Aliquot sequence: 137,232 → 247,230 → 421,074 → 503,226 → 615,174 → 814,842 → 1,281,798 → 1,974,522 → 2,333,670 → 3,327,258 → 3,988,806 → 4,013,994 → 4,014,006 → 5,317,194 → 5,317,206 → 5,339,994 → 6,311,046 — unresolved within range

Continued fraction of √n

√137,232 = [370; (2, 4, 2, 1, 11, 14, 6, 6, 2, 4, 1, 1, 5, 4, 4, 1, 9, 1, 1, 1, 2, 14, 1, 2, …)]

Representations

In words: one hundred thirty-seven thousand two hundred thirty-two
Ordinal: 137232nd
Binary: 100001100000010000
Octal: 414020
Hexadecimal: 0x21810
Base64: AhgQ
One's complement: 4,294,830,063 (32-bit)
Scientific notation: 1.37232 × 10⁵
As a duration: 137,232 s = 1 day, 14 hours, 7 minutes, 12 seconds

In other bases

ternary (3) 20222020200

quaternary (4) 201200100

quinary (5) 13342412

senary (6) 2535200

septenary (7) 1111044

nonary (9) 228220

undecimal (11) 94117

duodecimal (12) 67500

tridecimal (13) 4a604

tetradecimal (14) 38024

pentadecimal (15) 2a9dc

As an angle

137,232° = 381 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζσλβʹ
Mayan (base 20): 𝋱·𝋣·𝋡·𝋬
Chinese: 一十三萬七千二百三十二
Chinese (financial): 壹拾參萬柒仟貳佰參拾貳

In other modern scripts

Eastern Arabic ١٣٧٢٣٢ Devanagari १३७२३२ Bengali ১৩৭২৩২ Tamil ௧௩௭௨௩௨ Thai ๑๓๗๒๓๒ Tibetan ༡༣༧༢༣༢ Khmer ១៣៧២៣២ Lao ໑໓໗໒໓໒ Burmese ၁၃၇၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137232, here are decompositions:

13 + 137219 = 137232
23 + 137209 = 137232
31 + 137201 = 137232
41 + 137191 = 137232
79 + 137153 = 137232
89 + 137143 = 137232
101 + 137131 = 137232
113 + 137119 = 137232

Showing the first eight; more decompositions exist.

Unicode codepoint

𡠐

CJK Unified Ideograph-21810

U+21810

Other letter (Lo)

UTF-8 encoding: F0 A1 A0 90 (4 bytes).

Lookup U+21810 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021810

RGB(2, 24, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.16.

Address: 0.2.24.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.16

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 137,232 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 US137,232 on Google Patents ↗ Look up on USPTO ↗