Live analysis

137,328

137,328 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.).

137,328 (one hundred thirty-seven thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,861. Its proper divisors sum to 217,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21870.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,316 137,317 137,318 137,319 137,320 137,321 137,322 137,323 137,324 137,325 137,326 137,327 137,328 137,329 137,330 137,331 137,332 137,333 137,334 137,335 137,336 137,337 137,338 137,339 137,340

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,008
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 823,731
Recamán's sequence: a(37,460) = 137,328
Square (n²): 18,858,979,584
Cube (n³): 2,589,865,948,311,552
Divisor count: 20
σ(n) — sum of divisors: 354,888
φ(n) — Euler's totient: 45,760
Sum of prime factors: 2,872

Primality

Prime factorization: 2 ⁴ × 3 × 2861

Nearest primes: 137,321 (−7) · 137,339 (+11)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2861 · 5722 · 8583 · 11444 · 17166 · 22888 · 34332 · 45776 · 68664 (half) · 137328

Aliquot sum (sum of proper divisors): 217,560

Factor pairs (a × b = 137,328)

1 × 137328

2 × 68664

3 × 45776

4 × 34332

6 × 22888

8 × 17166

12 × 11444

16 × 8583

24 × 5722

48 × 2861

First multiples

137,328 · 274,656 (double) · 411,984 · 549,312 · 686,640 · 823,968 · 961,296 · 1,098,624 · 1,235,952 · 1,373,280

Sums & aliquot sequence

As consecutive integers: 45,775 + 45,776 + 45,777 4,276 + 4,277 + … + 4,307 1,383 + 1,384 + … + 1,478

Aliquot sequence: 137,328 → 217,560 → 562,200 → 1,182,480 → 2,775,600 → 7,141,920 → 15,356,640 → 39,510,816 → 65,299,008 → 108,518,272 → 119,053,928 → 147,586,072 → 143,702,528 → 155,930,080 → 212,455,112 → 223,908,088 → 220,615,592 — unresolved within range

Continued fraction of √n

√137,328 = [370; (1, 1, 2, 1, 2, 2, 2, 1, 7, 1, 4, 3, 2, 1, 3, 1, 2, 1, 5, 2, 31, 1, 3, 4, …)]

Representations

In words: one hundred thirty-seven thousand three hundred twenty-eight
Ordinal: 137328th
Binary: 100001100001110000
Octal: 414160
Hexadecimal: 0x21870
Base64: Ahhw
One's complement: 4,294,829,967 (32-bit)
Scientific notation: 1.37328 × 10⁵
As a duration: 137,328 s = 1 day, 14 hours, 8 minutes, 48 seconds

In other bases

ternary (3) 20222101020

quaternary (4) 201201300

quinary (5) 13343303

senary (6) 2535440

septenary (7) 1111242

nonary (9) 228336

undecimal (11) 941a4

duodecimal (12) 67580

tridecimal (13) 4a679

tetradecimal (14) 38092

pentadecimal (15) 2aa53

As an angle

137,328° = 381 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζτκηʹ
Mayan (base 20): 𝋱·𝋣·𝋦·𝋨
Chinese: 一十三萬七千三百二十八
Chinese (financial): 壹拾參萬柒仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٣٧٣٢٨ Devanagari १३७३२८ Bengali ১৩৭৩২৮ Tamil ௧௩௭௩௨௮ Thai ๑๓๗๓๒๘ Tibetan ༡༣༧༣༢༨ Khmer ១៣៧៣២៨ Lao ໑໓໗໓໒໘ Burmese ၁၃၇၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137328, here are decompositions:

7 + 137321 = 137328
89 + 137239 = 137328
109 + 137219 = 137328
127 + 137201 = 137328
131 + 137197 = 137328
137 + 137191 = 137328
151 + 137177 = 137328
181 + 137147 = 137328

Showing the first eight; more decompositions exist.

Unicode codepoint

𡡰

CJK Unified Ideograph-21870

U+21870

Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B0 (4 bytes).

Lookup U+21870 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021870

RGB(2, 24, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.112.

Address: 0.2.24.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.112

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 137,328 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 US137,328 on Google Patents ↗ Look up on USPTO ↗