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137,524

137,524 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.).

137,524 (one hundred thirty-seven thousand five hundred twenty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,381. Written other ways, in hexadecimal, 0x21934.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
425,731
Recamán's sequence
a(493,779) = 137,524
Square (n²)
18,912,850,576
Cube (n³)
2,600,970,862,613,824
Divisor count
6
σ(n) — sum of divisors
240,674
φ(n) — Euler's totient
68,760
Sum of prime factors
34,385

Primality

Prime factorization: 2 2 × 34381

Nearest primes: 137,519 (−5) · 137,537 (+13)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34381 · 68762 (half) · 137524
Aliquot sum (sum of proper divisors): 103,150
Factor pairs (a × b = 137,524)
1 × 137524
2 × 68762
4 × 34381
First multiples
137,524 · 275,048 (double) · 412,572 · 550,096 · 687,620 · 825,144 · 962,668 · 1,100,192 · 1,237,716 · 1,375,240

Sums & aliquot sequence

As a sum of two squares: 218² + 300²
As consecutive integers: 17,187 + 17,188 + … + 17,194
Aliquot sequence: 137,524 103,150 88,802 63,454 31,730 28,750 27,482 23,590 25,082 12,544 16,583 3,385 683 1 0 — terminates at zero

Continued fraction of √n

√137,524 = [370; (1, 5, 2, 1, 14, 1, 3, 3, 3, 4, 1, 4, 2, 1, 18, 3, 27, 7, 36, 1, 16, 3, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred twenty-four
Ordinal
137524th
Binary
100001100100110100
Octal
414464
Hexadecimal
0x21934
Base64
Ahk0
One's complement
4,294,829,771 (32-bit)
Scientific notation
1.37524 × 10⁵
As a duration
137,524 s = 1 day, 14 hours, 12 minutes, 4 seconds
In other bases
ternary (3) 20222122111
quaternary (4) 201210310
quinary (5) 13400044
senary (6) 2540404
septenary (7) 1111642
nonary (9) 228574
undecimal (11) 94362
duodecimal (12) 67704
tridecimal (13) 4a79a
tetradecimal (14) 38192
pentadecimal (15) 2ab34

As an angle

137,524° = 382 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφκδʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋤
Chinese
一十三萬七千五百二十四
Chinese (financial)
壹拾參萬柒仟伍佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٧٥٢٤ Devanagari १३७५२४ Bengali ১৩৭৫২৪ Tamil ௧௩௭௫௨௪ Thai ๑๓๗๕๒๔ Tibetan ༡༣༧༥༢༤ Khmer ១៣៧៥២៤ Lao ໑໓໗໕໒໔ Burmese ၁၃၇၅၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137524, here are decompositions:

  • 5 + 137519 = 137524
  • 17 + 137507 = 137524
  • 41 + 137483 = 137524
  • 47 + 137477 = 137524
  • 71 + 137453 = 137524
  • 131 + 137393 = 137524
  • 137 + 137387 = 137524
  • 251 + 137273 = 137524

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤴
CJK Unified Ideograph-21934
U+21934
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 B4 (4 bytes).

Hex color
#021934
RGB(2, 25, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.52.

Address
0.2.25.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.52

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 137,524 and was likely granted around 1872.

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

Related reading