Live analysis

137,310

137,310 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.).

137,310 (one hundred thirty-seven thousand three hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 23 × 199. Its proper divisors sum to 208,290, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2185E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

137,298 137,299 137,300 137,301 137,302 137,303 137,304 137,305 137,306 137,307 137,308 137,309 137,310 137,311 137,312 137,313 137,314 137,315 137,316 137,317 137,318 137,319 137,320 137,321 137,322

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 13,731
Recamán's sequence: a(37,424) = 137,310
Square (n²): 18,854,036,100
Cube (n³): 2,588,847,696,891,000
Divisor count: 32
σ(n) — sum of divisors: 345,600
φ(n) — Euler's totient: 34,848
Sum of prime factors: 232

Primality

Prime factorization: 2 × 3 × 5 × 23 × 199

Nearest primes: 137,303 (−7) · 137,321 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 30 · 46 · 69 · 115 · 138 · 199 · 230 · 345 · 398 · 597 · 690 · 995 · 1194 · 1990 · 2985 · 4577 · 5970 · 9154 · 13731 · 22885 · 27462 · 45770 · 68655 (half) · 137310

Aliquot sum (sum of proper divisors): 208,290

Factor pairs (a × b = 137,310)

1 × 137310

2 × 68655

3 × 45770

5 × 27462

6 × 22885

10 × 13731

15 × 9154

23 × 5970

30 × 4577

46 × 2985

69 × 1990

115 × 1194

138 × 995

199 × 690

230 × 597

345 × 398

First multiples

137,310 · 274,620 (double) · 411,930 · 549,240 · 686,550 · 823,860 · 961,170 · 1,098,480 · 1,235,790 · 1,373,100

Sums & aliquot sequence

As consecutive integers: 45,769 + 45,770 + 45,771 34,326 + 34,327 + 34,328 + 34,329 27,460 + 27,461 + 27,462 + 27,463 + 27,464 11,437 + 11,438 + … + 11,448

Aliquot sequence: 137,310 → 208,290 → 304,926 → 304,938 → 372,822 → 372,834 → 638,046 → 744,426 → 868,536 → 1,544,664 → 2,668,776 → 4,672,824 → 8,663,016 → 12,994,584 → 19,941,336 → 40,250,664 → 74,502,936 — unresolved within range

Continued fraction of √n

√137,310 = [370; (1, 1, 4, 6, 4, 1, 1, 740)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand three hundred ten
Ordinal: 137310th
Binary: 100001100001011110
Octal: 414136
Hexadecimal: 0x2185E
Base64: Ahhe
One's complement: 4,294,829,985 (32-bit)
Scientific notation: 1.3731 × 10⁵
As a duration: 137,310 s = 1 day, 14 hours, 8 minutes, 30 seconds

In other bases

ternary (3) 20222100120

quaternary (4) 201201132

quinary (5) 13343220

senary (6) 2535410

septenary (7) 1111215

nonary (9) 228316

undecimal (11) 94188

duodecimal (12) 67566

tridecimal (13) 4a664

tetradecimal (14) 3807c

pentadecimal (15) 2aa40

As an angle

137,310° = 381 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆
Greek (Milesian): ͵ρλζτιʹ
Mayan (base 20): 𝋱·𝋣·𝋥·𝋪
Chinese: 一十三萬七千三百一十
Chinese (financial): 壹拾參萬柒仟參佰壹拾

In other modern scripts

Eastern Arabic ١٣٧٣١٠ Devanagari १३७३१० Bengali ১৩৭৩১০ Tamil ௧௩௭௩௧௦ Thai ๑๓๗๓๑๐ Tibetan ༡༣༧༣༡༠ Khmer ១៣៧៣១០ Lao ໑໓໗໓໑໐ Burmese ၁၃၇၃၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137310, here are decompositions:

7 + 137303 = 137310
31 + 137279 = 137310
37 + 137273 = 137310
59 + 137251 = 137310
71 + 137239 = 137310
101 + 137209 = 137310
109 + 137201 = 137310
113 + 137197 = 137310

Showing the first eight; more decompositions exist.

Unicode codepoint

𡡞

CJK Unified Ideograph-2185E

U+2185E

Other letter (Lo)

UTF-8 encoding: F0 A1 A1 9E (4 bytes).

Lookup U+2185E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02185E

RGB(2, 24, 94)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.94.

Address: 0.2.24.94
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.24.94

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 137,310 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 US137,310 on Google Patents ↗ Look up on USPTO ↗