Live analysis

137,346

137,346 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.).

137,346 (one hundred thirty-seven thousand three hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 2,081. Its proper divisors sum to 162,462, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21882.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,334 137,335 137,336 137,337 137,338 137,339 137,340 137,341 137,342 137,343 137,344 137,345 137,346 137,347 137,348 137,349 137,350 137,351 137,352 137,353 137,354 137,355 137,356 137,357 137,358

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 1,512
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 643,731
Recamán's sequence: a(37,496) = 137,346
Square (n²): 18,863,923,716
Cube (n³): 2,590,884,466,697,736
Divisor count: 16
σ(n) — sum of divisors: 299,808
φ(n) — Euler's totient: 41,600
Sum of prime factors: 2,097

Primality

Prime factorization: 2 × 3 × 11 × 2081

Nearest primes: 137,341 (−5) · 137,353 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 2081 · 4162 · 6243 · 12486 · 22891 · 45782 · 68673 (half) · 137346

Aliquot sum (sum of proper divisors): 162,462

Factor pairs (a × b = 137,346)

1 × 137346

2 × 68673

3 × 45782

6 × 22891

11 × 12486

22 × 6243

33 × 4162

66 × 2081

First multiples

137,346 · 274,692 (double) · 412,038 · 549,384 · 686,730 · 824,076 · 961,422 · 1,098,768 · 1,236,114 · 1,373,460

Sums & aliquot sequence

As consecutive integers: 45,781 + 45,782 + 45,783 34,335 + 34,336 + 34,337 + 34,338 12,481 + 12,482 + … + 12,491 11,440 + 11,441 + … + 11,451

Aliquot sequence: 137,346 → 162,462 → 162,474 → 187,638 → 221,898 → 236,598 → 247,242 → 253,878 → 316,362 → 316,374 → 326,634 → 510,582 → 534,858 → 547,062 → 562,938 → 629,382 → 726,378 — unresolved within range

Continued fraction of √n

√137,346 = [370; (1, 1, 1, 1, 17, 2, 10, 1, 11, 23, 1, 4, 1, 2, 1, 8, 3, 3, 370, 3, 3, 8, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand three hundred forty-six
Ordinal: 137346th
Binary: 100001100010000010
Octal: 414202
Hexadecimal: 0x21882
Base64: AhiC
One's complement: 4,294,829,949 (32-bit)
Scientific notation: 1.37346 × 10⁵
As a duration: 137,346 s = 1 day, 14 hours, 9 minutes, 6 seconds

In other bases

ternary (3) 20222101220

quaternary (4) 201202002

quinary (5) 13343341

senary (6) 2535510

septenary (7) 1111266

nonary (9) 228356

undecimal (11) 94210

duodecimal (12) 67596

tridecimal (13) 4a691

tetradecimal (14) 380a6

pentadecimal (15) 2aa66

As an angle

137,346° = 381 × 360° + 186°

186° ≈ 3.246 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζτμϛʹ
Mayan (base 20): 𝋱·𝋣·𝋧·𝋦
Chinese: 一十三萬七千三百四十六
Chinese (financial): 壹拾參萬柒仟參佰肆拾陸

In other modern scripts

Eastern Arabic ١٣٧٣٤٦ Devanagari १३७३४६ Bengali ১৩৭৩৪৬ Tamil ௧௩௭௩௪௬ Thai ๑๓๗๓๔๖ Tibetan ༡༣༧༣༤༦ Khmer ១៣៧៣៤៦ Lao ໑໓໗໓໔໖ Burmese ၁၃၇၃၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137346, here are decompositions:

5 + 137341 = 137346
7 + 137339 = 137346
43 + 137303 = 137346
67 + 137279 = 137346
73 + 137273 = 137346
107 + 137239 = 137346
127 + 137219 = 137346
137 + 137209 = 137346

Showing the first eight; more decompositions exist.

Unicode codepoint

𡢂

CJK Unified Ideograph-21882

U+21882

Other letter (Lo)

UTF-8 encoding: F0 A1 A2 82 (4 bytes).

Lookup U+21882 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021882

RGB(2, 24, 130)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.130.

Address: 0.2.24.130
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.130

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 137,346 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 US137,346 on Google Patents ↗ Look up on USPTO ↗