Live analysis

137,348

137,348 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.).

137,348 (one hundred thirty-seven thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,337. Written other ways, in hexadecimal, 0x21884.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

137,336 137,337 137,338 137,339 137,340 137,341 137,342 137,343 137,344 137,345 137,346 137,347 137,348 137,349 137,350 137,351 137,352 137,353 137,354 137,355 137,356 137,357 137,358 137,359 137,360

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 26
Digit product: 2,016
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 843,731
Recamán's sequence: a(37,500) = 137,348
Square (n²): 18,864,473,104
Cube (n³): 2,590,997,651,888,192
Divisor count: 6
σ(n) — sum of divisors: 240,366
φ(n) — Euler's totient: 68,672
Sum of prime factors: 34,341

Primality

Prime factorization: 2 ² × 34337

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

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 34337 · 68674 (half) · 137348

Aliquot sum (sum of proper divisors): 103,018

Factor pairs (a × b = 137,348)

1 × 137348

2 × 68674

4 × 34337

First multiples

137,348 · 274,696 (double) · 412,044 · 549,392 · 686,740 · 824,088 · 961,436 · 1,098,784 · 1,236,132 · 1,373,480

Sums & aliquot sequence

As a sum of two squares: 152² + 338²

As consecutive integers: 17,165 + 17,166 + … + 17,172

Aliquot sequence: 137,348 → 103,018 → 59,702 → 29,854 → 21,986 → 10,996 → 8,254 → 4,130 → 4,510 → 4,562 → 2,284 → 1,720 → 2,240 → 3,856 → 3,646 → 1,826 → 1,198 — unresolved within range

Continued fraction of √n

√137,348 = [370; (1, 1, 1, 1, 7, 1, 1, 5, 23, 1, 2, 1, 2, 3, 1, 17, 3, 3, 1, 22, 2, 1, 1, 5, …)]

Representations

In words: one hundred thirty-seven thousand three hundred forty-eight
Ordinal: 137348th
Binary: 100001100010000100
Octal: 414204
Hexadecimal: 0x21884
Base64: AhiE
One's complement: 4,294,829,947 (32-bit)
Scientific notation: 1.37348 × 10⁵
As a duration: 137,348 s = 1 day, 14 hours, 9 minutes, 8 seconds

In other bases

ternary (3) 20222101222

quaternary (4) 201202010

quinary (5) 13343343

senary (6) 2535512

septenary (7) 1111301

nonary (9) 228358

undecimal (11) 94212

duodecimal (12) 67598

tridecimal (13) 4a693

tetradecimal (14) 380a8

pentadecimal (15) 2aa68

As an angle

137,348° = 381 × 360° + 188°

188° ≈ 3.281 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζτμηʹ
Mayan (base 20): 𝋱·𝋣·𝋧·𝋨
Chinese: 一十三萬七千三百四十八
Chinese (financial): 壹拾參萬柒仟參佰肆拾捌

In other modern scripts

Eastern Arabic ١٣٧٣٤٨ Devanagari १३७३४८ Bengali ১৩৭৩৪৮ Tamil ௧௩௭௩௪௮ Thai ๑๓๗๓๔๘ Tibetan ༡༣༧༣༤༨ Khmer ១៣៧៣៤៨ Lao ໑໓໗໓໔໘ Burmese ၁၃၇၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137348, here are decompositions:

7 + 137341 = 137348
97 + 137251 = 137348
109 + 137239 = 137348
139 + 137209 = 137348
151 + 137197 = 137348
157 + 137191 = 137348
229 + 137119 = 137348
271 + 137077 = 137348

Showing the first eight; more decompositions exist.

Unicode codepoint

𡢄

CJK Unified Ideograph-21884

U+21884

Other letter (Lo)

UTF-8 encoding: F0 A1 A2 84 (4 bytes).

Lookup U+21884 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021884

RGB(2, 24, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.132.

Address: 0.2.24.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.132

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 137,348 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 US137,348 on Google Patents ↗ Look up on USPTO ↗