Live analysis

137,028

137,028 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.).

137,028 (one hundred thirty-seven thousand twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 19 × 601. Its proper divisors sum to 200,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21744.

Abundant Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

137,016 137,017 137,018 137,019 137,020 137,021 137,022 137,023 137,024 137,025 137,026 137,027 137,028 137,029 137,030 137,031 137,032 137,033 137,034 137,035 137,036 137,037 137,038 137,039 137,040

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 820,731
Square (n²): 18,776,672,784
Cube (n³): 2,572,929,918,245,952
Divisor count: 24
σ(n) — sum of divisors: 337,120
φ(n) — Euler's totient: 43,200
Sum of prime factors: 627

Primality

Prime factorization: 2 ² × 3 × 19 × 601

Nearest primes: 136,999 (−29) · 137,029 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 601 · 1202 · 1803 · 2404 · 3606 · 7212 · 11419 · 22838 · 34257 · 45676 · 68514 (half) · 137028

Aliquot sum (sum of proper divisors): 200,092

Factor pairs (a × b = 137,028)

1 × 137028

2 × 68514

3 × 45676

4 × 34257

6 × 22838

12 × 11419

19 × 7212

38 × 3606

57 × 2404

76 × 1803

114 × 1202

228 × 601

First multiples

137,028 · 274,056 (double) · 411,084 · 548,112 · 685,140 · 822,168 · 959,196 · 1,096,224 · 1,233,252 · 1,370,280

Sums & aliquot sequence

As consecutive integers: 45,675 + 45,676 + 45,677 17,125 + 17,126 + … + 17,132 7,203 + 7,204 + … + 7,221 5,698 + 5,699 + … + 5,721

Aliquot sequence: 137,028 → 200,092 → 150,076 → 128,132 → 99,004 → 77,900 → 104,380 → 128,468 → 96,358 → 48,182 → 24,094 → 17,234 → 12,334 → 8,834 → 6,334 → 3,170 → 2,554 — unresolved within range

Continued fraction of √n

√137,028 = [370; (5, 1, 3, 1, 1, 2, 246, 2, 1, 1, 3, 1, 5, 740)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand twenty-eight
Ordinal: 137028th
Binary: 100001011101000100
Octal: 413504
Hexadecimal: 0x21744
Base64: AhdE
One's complement: 4,294,830,267 (32-bit)
Scientific notation: 1.37028 × 10⁵
As a duration: 137,028 s = 1 day, 14 hours, 3 minutes, 48 seconds

In other bases

ternary (3) 20221222010

quaternary (4) 201131010

quinary (5) 13341103

senary (6) 2534220

septenary (7) 1110333

nonary (9) 227863

undecimal (11) 93a51

duodecimal (12) 67370

tridecimal (13) 4a4a8

tetradecimal (14) 37d1a

pentadecimal (15) 2a903

As an angle

137,028° = 380 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλζκηʹ
Mayan (base 20): 𝋱·𝋢·𝋫·𝋨
Chinese: 一十三萬七千零二十八
Chinese (financial): 壹拾參萬柒仟零貳拾捌

In other modern scripts

Eastern Arabic ١٣٧٠٢٨ Devanagari १३७०२८ Bengali ১৩৭০২৮ Tamil ௧௩௭௦௨௮ Thai ๑๓๗๐๒๘ Tibetan ༡༣༧༠༢༨ Khmer ១៣៧០២៨ Lao ໑໓໗໐໒໘ Burmese ၁၃၇၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137028, here are decompositions:

29 + 136999 = 137028
37 + 136991 = 137028
41 + 136987 = 137028
79 + 136949 = 137028
131 + 136897 = 137028
139 + 136889 = 137028
149 + 136879 = 137028
167 + 136861 = 137028

Showing the first eight; more decompositions exist.

Unicode codepoint

𡝄

CJK Unified Ideograph-21744

U+21744

Other letter (Lo)

UTF-8 encoding: F0 A1 9D 84 (4 bytes).

Lookup U+21744 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021744

RGB(2, 23, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.68.

Address: 0.2.23.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.68

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 137,028 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 US137,028 on Google Patents ↗ Look up on USPTO ↗