Live analysis

137,052

137,052 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.).

137,052 (one hundred thirty-seven thousand fifty-two) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2² × 3⁶ × 47. Its proper divisors sum to 230,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2175C.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

137,040 137,041 137,042 137,043 137,044 137,045 137,046 137,047 137,048 137,049 137,050 137,051 137,052 137,053 137,054 137,055 137,056 137,057 137,058 137,059 137,060 137,061 137,062 137,063 137,064

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 250,731
Square (n²): 18,783,250,704
Cube (n³): 2,574,282,075,484,608
Divisor count: 42
σ(n) — sum of divisors: 367,248
φ(n) — Euler's totient: 44,712
Sum of prime factors: 69

Primality

Prime factorization: 2 ² × 3 ⁶ × 47

Nearest primes: 137,029 (−23) · 137,077 (+25)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 47 · 54 · 81 · 94 · 108 · 141 · 162 · 188 · 243 · 282 · 324 · 423 · 486 · 564 · 729 · 846 · 972 · 1269 · 1458 · 1692 · 2538 · 2916 · 3807 · 5076 · 7614 · 11421 · 15228 · 22842 · 34263 · 45684 · 68526 (half) · 137052

Aliquot sum (sum of proper divisors): 230,196

Factor pairs (a × b = 137,052)

1 × 137052

2 × 68526

3 × 45684

4 × 34263

6 × 22842

9 × 15228

12 × 11421

18 × 7614

27 × 5076

36 × 3807

47 × 2916

54 × 2538

81 × 1692

94 × 1458

108 × 1269

141 × 972

162 × 846

188 × 729

243 × 564

282 × 486

324 × 423

First multiples

137,052 · 274,104 (double) · 411,156 · 548,208 · 685,260 · 822,312 · 959,364 · 1,096,416 · 1,233,468 · 1,370,520

Sums & aliquot sequence

As consecutive integers: 45,683 + 45,684 + 45,685 17,128 + 17,129 + … + 17,135 15,224 + 15,225 + … + 15,232 5,699 + 5,700 + … + 5,722

Aliquot sequence: 137,052 → 230,196 → 306,956 → 271,636 → 212,204 → 159,160 → 216,680 → 270,940 → 374,180 → 428,692 → 389,804 → 362,836 → 272,134 → 136,070 → 131,338 → 67,994 → 34,000 — unresolved within range

Continued fraction of √n

√137,052 = [370; (4, 1, 6, 1, 2, 8, 1, 3, 1, 4, 1, 1, 1, 5, 2, 8, 1, 2, 7, 7, 2, 81, 1, 4, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-seven thousand fifty-two
Ordinal: 137052nd
Binary: 100001011101011100
Octal: 413534
Hexadecimal: 0x2175C
Base64: Ahdc
One's complement: 4,294,830,243 (32-bit)
Scientific notation: 1.37052 × 10⁵
As a duration: 137,052 s = 1 day, 14 hours, 4 minutes, 12 seconds

In other bases

ternary (3) 20222000000

quaternary (4) 201131130

quinary (5) 13341202

senary (6) 2534300

septenary (7) 1110366

nonary (9) 228000

undecimal (11) 93a73

duodecimal (12) 67390

tridecimal (13) 4a4c6

tetradecimal (14) 37d36

pentadecimal (15) 2a91c

As an angle

137,052° = 380 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλζνβʹ
Mayan (base 20): 𝋱·𝋢·𝋬·𝋬
Chinese: 一十三萬七千零五十二
Chinese (financial): 壹拾參萬柒仟零伍拾貳

In other modern scripts

Eastern Arabic ١٣٧٠٥٢ Devanagari १३७०५२ Bengali ১৩৭০৫২ Tamil ௧௩௭௦௫௨ Thai ๑๓๗๐๕๒ Tibetan ༡༣༧༠༥༢ Khmer ១៣៧០៥២ Lao ໑໓໗໐໕໒ Burmese ၁၃၇၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137052, here are decompositions:

23 + 137029 = 137052
53 + 136999 = 137052
59 + 136993 = 137052
61 + 136991 = 137052
73 + 136979 = 137052
79 + 136973 = 137052
89 + 136963 = 137052
101 + 136951 = 137052

Showing the first eight; more decompositions exist.

Unicode codepoint

𡝜

CJK Unified Ideograph-2175C

U+2175C

Other letter (Lo)

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

Lookup U+2175C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02175C

RGB(2, 23, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.92.

Address: 0.2.23.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.23.92

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 137,052 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 US137,052 on Google Patents ↗ Look up on USPTO ↗