Live analysis

137,184

137,184 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.).

137,184 (one hundred thirty-seven thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,429. Its proper divisors sum to 223,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217E0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

137,172 137,173 137,174 137,175 137,176 137,177 137,178 137,179 137,180 137,181 137,182 137,183 137,184 137,185 137,186 137,187 137,188 137,189 137,190 137,191 137,192 137,193 137,194 137,195 137,196

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 672
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 481,731
Square (n²): 18,819,449,856
Cube (n³): 2,581,727,409,045,504
Divisor count: 24
σ(n) — sum of divisors: 360,360
φ(n) — Euler's totient: 45,696
Sum of prime factors: 1,442

Primality

Prime factorization: 2 ⁵ × 3 × 1429

Nearest primes: 137,183 (−1) · 137,191 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 1429 · 2858 · 4287 · 5716 · 8574 · 11432 · 17148 · 22864 · 34296 · 45728 · 68592 (half) · 137184

Aliquot sum (sum of proper divisors): 223,176

Factor pairs (a × b = 137,184)

1 × 137184

2 × 68592

3 × 45728

4 × 34296

6 × 22864

8 × 17148

12 × 11432

16 × 8574

24 × 5716

32 × 4287

48 × 2858

96 × 1429

First multiples

137,184 · 274,368 (double) · 411,552 · 548,736 · 685,920 · 823,104 · 960,288 · 1,097,472 · 1,234,656 · 1,371,840

Sums & aliquot sequence

As consecutive integers: 45,727 + 45,728 + 45,729 2,112 + 2,113 + … + 2,175 619 + 620 + … + 810

Aliquot sequence: 137,184 → 223,176 → 368,664 → 553,056 → 1,108,128 → 2,448,096 → 4,898,208 → 10,270,176 → 24,566,304 → 49,945,056 → 99,892,128 → 214,495,008 → 495,846,624 → 1,119,695,136 → 2,239,392,288 → 4,832,413,152 → 9,892,096,032 — unresolved within range

Continued fraction of √n

√137,184 = [370; (2, 1, 1, 1, 1, 5, 7, 1, 6, 1, 11, 2, 8, 1, 3, 1, 1, 5, 1, 1, 3, 2, 1, 28, …)]

Representations

In words: one hundred thirty-seven thousand one hundred eighty-four
Ordinal: 137184th
Binary: 100001011111100000
Octal: 413740
Hexadecimal: 0x217E0
Base64: Ahfg
One's complement: 4,294,830,111 (32-bit)
Scientific notation: 1.37184 × 10⁵
As a duration: 137,184 s = 1 day, 14 hours, 6 minutes, 24 seconds

In other bases

ternary (3) 20222011220

quaternary (4) 201133200

quinary (5) 13342214

senary (6) 2535040

septenary (7) 1110645

nonary (9) 228156

undecimal (11) 94083

duodecimal (12) 67480

tridecimal (13) 4a598

tetradecimal (14) 37dcc

pentadecimal (15) 2a9a9

As an angle

137,184° = 381 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζρπδʹ
Mayan (base 20): 𝋱·𝋢·𝋳·𝋤
Chinese: 一十三萬七千一百八十四
Chinese (financial): 壹拾參萬柒仟壹佰捌拾肆

In other modern scripts

Eastern Arabic ١٣٧١٨٤ Devanagari १३७१८४ Bengali ১৩৭১৮৪ Tamil ௧௩௭௧௮௪ Thai ๑๓๗๑๘๔ Tibetan ༡༣༧༡༨༤ Khmer ១៣៧១៨៤ Lao ໑໓໗໑໘໔ Burmese ၁၃၇၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137184, here are decompositions:

7 + 137177 = 137184
31 + 137153 = 137184
37 + 137147 = 137184
41 + 137143 = 137184
53 + 137131 = 137184
67 + 137117 = 137184
97 + 137087 = 137184
107 + 137077 = 137184

Showing the first eight; more decompositions exist.

Unicode codepoint

𡟠

CJK Unified Ideograph-217E0

U+217E0

Other letter (Lo)

UTF-8 encoding: F0 A1 9F A0 (4 bytes).

Lookup U+217E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217E0

RGB(2, 23, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.224.

Address: 0.2.23.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.224

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 137,184 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 US137,184 on Google Patents ↗ Look up on USPTO ↗