Live analysis

137,322

137,322 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.).

137,322 (one hundred thirty-seven thousand three hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,543. Its proper divisors sum to 167,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2186A.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

137,310 137,311 137,312 137,313 137,314 137,315 137,316 137,317 137,318 137,319 137,320 137,321 137,322 137,323 137,324 137,325 137,326 137,327 137,328 137,329 137,330 137,331 137,332 137,333 137,334

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 252
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 223,731
Recamán's sequence: a(37,448) = 137,322
Square (n²): 18,857,331,684
Cube (n³): 2,589,526,501,510,248
Divisor count: 16
σ(n) — sum of divisors: 305,280
φ(n) — Euler's totient: 45,756
Sum of prime factors: 2,554

Primality

Prime factorization: 2 × 3 ³ × 2543

Nearest primes: 137,321 (−1) · 137,339 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2543 · 5086 · 7629 · 15258 · 22887 · 45774 · 68661 (half) · 137322

Aliquot sum (sum of proper divisors): 167,958

Factor pairs (a × b = 137,322)

1 × 137322

2 × 68661

3 × 45774

6 × 22887

9 × 15258

18 × 7629

27 × 5086

54 × 2543

First multiples

137,322 · 274,644 (double) · 411,966 · 549,288 · 686,610 · 823,932 · 961,254 · 1,098,576 · 1,235,898 · 1,373,220

Sums & aliquot sequence

As consecutive integers: 45,773 + 45,774 + 45,775 34,329 + 34,330 + 34,331 + 34,332 15,254 + 15,255 + … + 15,262 11,438 + 11,439 + … + 11,449

Aliquot sequence: 137,322 → 167,958 → 271,338 → 285,078 → 285,090 → 513,246 → 523,698 → 709,326 → 843,498 → 984,120 → 2,039,880 → 4,180,920 → 8,362,200 → 24,135,720 → 60,190,680 → 136,801,320 → 274,678,680 — unresolved within range

Continued fraction of √n

√137,322 = [370; (1, 1, 3, 12, 2, 33, 4, 1, 4, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 28, 10, 8, 1, …)]

Representations

In words: one hundred thirty-seven thousand three hundred twenty-two
Ordinal: 137322nd
Binary: 100001100001101010
Octal: 414152
Hexadecimal: 0x2186A
Base64: Ahhq
One's complement: 4,294,829,973 (32-bit)
Scientific notation: 1.37322 × 10⁵
As a duration: 137,322 s = 1 day, 14 hours, 8 minutes, 42 seconds

In other bases

ternary (3) 20222101000

quaternary (4) 201201222

quinary (5) 13343242

senary (6) 2535430

septenary (7) 1111233

nonary (9) 228330

undecimal (11) 94199

duodecimal (12) 67576

tridecimal (13) 4a673

tetradecimal (14) 3808a

pentadecimal (15) 2aa4c

Palindromic in base 12

As an angle

137,322° = 381 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζτκβʹ
Mayan (base 20): 𝋱·𝋣·𝋦·𝋢
Chinese: 一十三萬七千三百二十二
Chinese (financial): 壹拾參萬柒仟參佰貳拾貳

In other modern scripts

Eastern Arabic ١٣٧٣٢٢ Devanagari १३७३२२ Bengali ১৩৭৩২২ Tamil ௧௩௭௩௨௨ Thai ๑๓๗๓๒๒ Tibetan ༡༣༧༣༢༢ Khmer ១៣៧៣២២ Lao ໑໓໗໓໒໒ Burmese ၁၃၇၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137322, here are decompositions:

19 + 137303 = 137322
43 + 137279 = 137322
71 + 137251 = 137322
83 + 137239 = 137322
103 + 137219 = 137322
113 + 137209 = 137322
131 + 137191 = 137322
139 + 137183 = 137322

Showing the first eight; more decompositions exist.

Unicode codepoint

𡡪

CJK Unified Ideograph-2186A

U+2186A

Other letter (Lo)

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

Lookup U+2186A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02186A

RGB(2, 24, 106)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.106.

Address: 0.2.24.106
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.106

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 137,322 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 US137,322 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 137322 first appears in π at position 375,203 of the decimal expansion (the 375,203ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 137322 on Pi Search ↗