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137,528

137,528 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.).

137,528 (one hundred thirty-seven thousand five hundred twenty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,191. Written other ways, in hexadecimal, 0x21938.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
825,731
Recamán's sequence
a(493,771) = 137,528
Square (n²)
18,913,950,784
Cube (n³)
2,601,197,823,421,952
Divisor count
8
σ(n) — sum of divisors
257,880
φ(n) — Euler's totient
68,760
Sum of prime factors
17,197

Primality

Prime factorization: 2 3 × 17191

Nearest primes: 137,519 (−9) · 137,537 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17191 · 34382 · 68764 (half) · 137528
Aliquot sum (sum of proper divisors): 120,352
Factor pairs (a × b = 137,528)
1 × 137528
2 × 68764
4 × 34382
8 × 17191
First multiples
137,528 · 275,056 (double) · 412,584 · 550,112 · 687,640 · 825,168 · 962,696 · 1,100,224 · 1,237,752 · 1,375,280

Sums & aliquot sequence

As consecutive integers: 8,588 + 8,589 + … + 8,603
Aliquot sequence: 137,528 120,352 116,654 75,154 39,866 21,958 10,982 7,438 3,722 1,864 1,646 826 614 310 266 214 110 — unresolved within range

Continued fraction of √n

√137,528 = [370; (1, 5, 1, 1, 3, 2, 1, 9, 15, 1, 2, 9, 1, 4, 1, 1, 4, 2, 6, 1, 2, 7, 3, 2, …)]

Representations

In words
one hundred thirty-seven thousand five hundred twenty-eight
Ordinal
137528th
Binary
100001100100111000
Octal
414470
Hexadecimal
0x21938
Base64
Ahk4
One's complement
4,294,829,767 (32-bit)
Scientific notation
1.37528 × 10⁵
As a duration
137,528 s = 1 day, 14 hours, 12 minutes, 8 seconds
In other bases
ternary (3) 20222122122
quaternary (4) 201210320
quinary (5) 13400103
senary (6) 2540412
septenary (7) 1111646
nonary (9) 228578
undecimal (11) 94366
duodecimal (12) 67708
tridecimal (13) 4a7a1
tetradecimal (14) 38196
pentadecimal (15) 2ab38

As an angle

137,528° = 382 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφκηʹ
Mayan (base 20)
𝋱·𝋣·𝋰·𝋨
Chinese
一十三萬七千五百二十八
Chinese (financial)
壹拾參萬柒仟伍佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٧٥٢٨ Devanagari १३७५२८ Bengali ১৩৭৫২৮ Tamil ௧௩௭௫௨௮ Thai ๑๓๗๕๒๘ Tibetan ༡༣༧༥༢༨ Khmer ១៣៧៥២៨ Lao ໑໓໗໕໒໘ Burmese ၁၃၇၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137528, here are decompositions:

  • 37 + 137491 = 137528
  • 277 + 137251 = 137528
  • 331 + 137197 = 137528
  • 337 + 137191 = 137528
  • 397 + 137131 = 137528
  • 409 + 137119 = 137528
  • 439 + 137089 = 137528
  • 499 + 137029 = 137528

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤸
CJK Unified Ideograph-21938
U+21938
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 B8 (4 bytes).

Hex color
#021938
RGB(2, 25, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.56.

Address
0.2.25.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.56

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 137,528 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 137528 first appears in π at position 999,129 of the decimal expansion (the 999,129ordinal-suffix:th 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.