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137,530

137,530 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.).

137,530 (one hundred thirty-seven thousand five hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 17 × 809. Written other ways, in hexadecimal, 0x2193A.

Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
35,731
Recamán's sequence
a(493,767) = 137,530
Square (n²)
18,914,500,900
Cube (n³)
2,601,311,308,777,000
Divisor count
16
σ(n) — sum of divisors
262,440
φ(n) — Euler's totient
51,712
Sum of prime factors
833

Primality

Prime factorization: 2 × 5 × 17 × 809

Nearest primes: 137,519 (−11) · 137,537 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 17 · 34 · 85 · 170 · 809 · 1618 · 4045 · 8090 · 13753 · 27506 · 68765 (half) · 137530
Aliquot sum (sum of proper divisors): 124,910
Factor pairs (a × b = 137,530)
1 × 137530
2 × 68765
5 × 27506
10 × 13753
17 × 8090
34 × 4045
85 × 1618
170 × 809
First multiples
137,530 · 275,060 (double) · 412,590 · 550,120 · 687,650 · 825,180 · 962,710 · 1,100,240 · 1,237,770 · 1,375,300

Sums & aliquot sequence

As a sum of two squares: 37² + 369² = 93² + 359² = 141² + 343² = 251² + 273²
As consecutive integers: 34,381 + 34,382 + 34,383 + 34,384 27,504 + 27,505 + 27,506 + 27,507 + 27,508 8,082 + 8,083 + … + 8,098 6,867 + 6,868 + … + 6,886
Aliquot sequence: 137,530 124,910 99,946 91,574 71,242 36,758 18,382 15,890 16,942 9,194 4,600 6,560 9,316 8,072 7,078 3,542 3,370 — unresolved within range

Continued fraction of √n

√137,530 = [370; (1, 5, 1, 2, 6, 3, 82, 10, 1, 1, 2, 2, 28, 9, 8, 4, 2, 14, 1, 2, 4, 3, 1, 3, …)]

Representations

In words
one hundred thirty-seven thousand five hundred thirty
Ordinal
137530th
Binary
100001100100111010
Octal
414472
Hexadecimal
0x2193A
Base64
Ahk6
One's complement
4,294,829,765 (32-bit)
Scientific notation
1.3753 × 10⁵
As a duration
137,530 s = 1 day, 14 hours, 12 minutes, 10 seconds
In other bases
ternary (3) 20222122201
quaternary (4) 201210322
quinary (5) 13400110
senary (6) 2540414
septenary (7) 1111651
nonary (9) 228581
undecimal (11) 94368
duodecimal (12) 6770a
tridecimal (13) 4a7a3
tetradecimal (14) 38198
pentadecimal (15) 2ab3a

As an angle

137,530° = 382 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλζφλʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋪
Chinese
一十三萬七千五百三十
Chinese (financial)
壹拾參萬柒仟伍佰參拾
In other modern scripts
Eastern Arabic ١٣٧٥٣٠ Devanagari १३७५३० Bengali ১৩৭৫৩০ Tamil ௧௩௭௫௩௦ Thai ๑๓๗๕๓๐ Tibetan ༡༣༧༥༣༠ Khmer ១៣៧៥៣០ Lao ໑໓໗໕໓໐ Burmese ၁၃၇၅၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137530, here are decompositions:

  • 11 + 137519 = 137530
  • 23 + 137507 = 137530
  • 47 + 137483 = 137530
  • 53 + 137477 = 137530
  • 83 + 137447 = 137530
  • 131 + 137399 = 137530
  • 137 + 137393 = 137530
  • 167 + 137363 = 137530

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤺
CJK Unified Ideograph-2193A
U+2193A
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 BA (4 bytes).

Hex color
#02193A
RGB(2, 25, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.58.

Address
0.2.25.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.58

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 137,530 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137530 first appears in π at position 296,851 of the decimal expansion (the 296,851ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading