Live analysis

137,130

137,130 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.).

137,130 (one hundred thirty-seven thousand one hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 7 × 653. Its proper divisors sum to 239,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217AA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

137,118 137,119 137,120 137,121 137,122 137,123 137,124 137,125 137,126 137,127 137,128 137,129 137,130 137,131 137,132 137,133 137,134 137,135 137,136 137,137 137,138 137,139 137,140 137,141 137,142

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 31,731
Square (n²): 18,804,636,900
Cube (n³): 2,578,679,858,097,000
Divisor count: 32
σ(n) — sum of divisors: 376,704
φ(n) — Euler's totient: 31,296
Sum of prime factors: 670

Primality

Prime factorization: 2 × 3 × 5 × 7 × 653

Nearest primes: 137,119 (−11) · 137,131 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 21 · 30 · 35 · 42 · 70 · 105 · 210 · 653 · 1306 · 1959 · 3265 · 3918 · 4571 · 6530 · 9142 · 9795 · 13713 · 19590 · 22855 · 27426 · 45710 · 68565 (half) · 137130

Aliquot sum (sum of proper divisors): 239,574

Factor pairs (a × b = 137,130)

1 × 137130

2 × 68565

3 × 45710

5 × 27426

6 × 22855

7 × 19590

10 × 13713

14 × 9795

15 × 9142

21 × 6530

30 × 4571

35 × 3918

42 × 3265

70 × 1959

105 × 1306

210 × 653

First multiples

137,130 · 274,260 (double) · 411,390 · 548,520 · 685,650 · 822,780 · 959,910 · 1,097,040 · 1,234,170 · 1,371,300

Sums & aliquot sequence

As consecutive integers: 45,709 + 45,710 + 45,711 34,281 + 34,282 + 34,283 + 34,284 27,424 + 27,425 + 27,426 + 27,427 + 27,428 19,587 + 19,588 + … + 19,593

Aliquot sequence: 137,130 → 239,574 → 239,586 → 247,038 → 323,202 → 402,558 → 471,450 → 867,750 → 1,490,970 → 2,363,622 → 2,388,570 → 3,407,142 → 3,407,154 → 3,435,726 → 4,478,514 → 5,555,118 → 5,792,082 — unresolved within range

Continued fraction of √n

√137,130 = [370; (3, 4, 1, 1, 2, 1, 122, 1, 2, 1, 1, 4, 3, 740)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand one hundred thirty
Ordinal: 137130th
Binary: 100001011110101010
Octal: 413652
Hexadecimal: 0x217AA
Base64: Aheq
One's complement: 4,294,830,165 (32-bit)
Scientific notation: 1.3713 × 10⁵
As a duration: 137,130 s = 1 day, 14 hours, 5 minutes, 30 seconds

In other bases

ternary (3) 20222002220

quaternary (4) 201132222

quinary (5) 13342010

senary (6) 2534510

septenary (7) 1110540

nonary (9) 228086

undecimal (11) 94034

duodecimal (12) 67436

tridecimal (13) 4a556

tetradecimal (14) 37d90

pentadecimal (15) 2a970

As an angle

137,130° = 380 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian): ͵ρλζρλʹ
Mayan (base 20): 𝋱·𝋢·𝋰·𝋪
Chinese: 一十三萬七千一百三十
Chinese (financial): 壹拾參萬柒仟壹佰參拾

In other modern scripts

Eastern Arabic ١٣٧١٣٠ Devanagari १३७१३० Bengali ১৩৭১৩০ Tamil ௧௩௭௧௩௦ Thai ๑๓๗๑๓๐ Tibetan ༡༣༧༡༣༠ Khmer ១៣៧១៣០ Lao ໑໓໗໑໓໐ Burmese ၁၃၇၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137130, here are decompositions:

11 + 137119 = 137130
13 + 137117 = 137130
41 + 137089 = 137130
43 + 137087 = 137130
53 + 137077 = 137130
101 + 137029 = 137130
131 + 136999 = 137130
137 + 136993 = 137130

Showing the first eight; more decompositions exist.

Unicode codepoint

𡞪

CJK Unified Ideograph-217Aa

U+217AA

Other letter (Lo)

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

Lookup U+217AA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0217AA

RGB(2, 23, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.170.

Address: 0.2.23.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.170

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 137,130 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 US137,130 on Google Patents ↗ Look up on USPTO ↗