Live analysis

137,334

137,334 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.).

137,334 (one hundred thirty-seven thousand three hundred thirty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 487. Its proper divisors sum to 143,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21876.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,322 137,323 137,324 137,325 137,326 137,327 137,328 137,329 137,330 137,331 137,332 137,333 137,334 137,335 137,336 137,337 137,338 137,339 137,340 137,341 137,342 137,343 137,344 137,345 137,346

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 756
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 433,731
Recamán's sequence: a(37,472) = 137,334
Square (n²): 18,860,627,556
Cube (n³): 2,590,205,424,775,704
Divisor count: 16
σ(n) — sum of divisors: 281,088
φ(n) — Euler's totient: 44,712
Sum of prime factors: 539

Primality

Prime factorization: 2 × 3 × 47 × 487

Nearest primes: 137,321 (−13) · 137,339 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 487 · 974 · 1461 · 2922 · 22889 · 45778 · 68667 (half) · 137334

Aliquot sum (sum of proper divisors): 143,754

Factor pairs (a × b = 137,334)

1 × 137334

2 × 68667

3 × 45778

6 × 22889

47 × 2922

94 × 1461

141 × 974

282 × 487

First multiples

137,334 · 274,668 (double) · 412,002 · 549,336 · 686,670 · 824,004 · 961,338 · 1,098,672 · 1,236,006 · 1,373,340

Sums & aliquot sequence

As consecutive integers: 45,777 + 45,778 + 45,779 34,332 + 34,333 + 34,334 + 34,335 11,439 + 11,440 + … + 11,450 2,899 + 2,900 + … + 2,945

Aliquot sequence: 137,334 → 143,754 → 185,526 → 253,458 → 295,740 → 647,748 → 1,077,612 → 1,467,588 → 1,956,812 → 2,109,796 → 1,889,486 → 953,914 → 668,966 → 353,578 → 176,792 → 254,128 → 308,832 — unresolved within range

Continued fraction of √n

√137,334 = [370; (1, 1, 2, 2, 2, 6, 32, 14, 1, 1, 147, 1, 2, 1, 1, 6, 2, 2, 1, 1, 1, 5, 1, 4, …)]

Representations

In words: one hundred thirty-seven thousand three hundred thirty-four
Ordinal: 137334th
Binary: 100001100001110110
Octal: 414166
Hexadecimal: 0x21876
Base64: Ahh2
One's complement: 4,294,829,961 (32-bit)
Scientific notation: 1.37334 × 10⁵
As a duration: 137,334 s = 1 day, 14 hours, 8 minutes, 54 seconds

In other bases

ternary (3) 20222101110

quaternary (4) 201201312

quinary (5) 13343314

senary (6) 2535450

septenary (7) 1111251

nonary (9) 228343

undecimal (11) 941aa

duodecimal (12) 67586

tridecimal (13) 4a682

tetradecimal (14) 38098

pentadecimal (15) 2aa59

As an angle

137,334° = 381 × 360° + 174°

174° ≈ 3.037 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζτλδʹ
Mayan (base 20): 𝋱·𝋣·𝋦·𝋮
Chinese: 一十三萬七千三百三十四
Chinese (financial): 壹拾參萬柒仟參佰參拾肆

In other modern scripts

Eastern Arabic ١٣٧٣٣٤ Devanagari १३७३३४ Bengali ১৩৭৩৩৪ Tamil ௧௩௭௩௩௪ Thai ๑๓๗๓๓๔ Tibetan ༡༣༧༣༣༤ Khmer ១៣៧៣៣៤ Lao ໑໓໗໓໓໔ Burmese ၁၃၇၃၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137334, here are decompositions:

13 + 137321 = 137334
31 + 137303 = 137334
61 + 137273 = 137334
83 + 137251 = 137334
137 + 137197 = 137334
151 + 137183 = 137334
157 + 137177 = 137334
181 + 137153 = 137334

Showing the first eight; more decompositions exist.

Unicode codepoint

𡡶

CJK Unified Ideograph-21876

U+21876

Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B6 (4 bytes).

Lookup U+21876 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021876

RGB(2, 24, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.118.

Address: 0.2.24.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.118

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 137,334 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 US137,334 on Google Patents ↗ Look up on USPTO ↗