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137,852

137,852 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.).

137,852 (one hundred thirty-seven thousand eight hundred fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 13 × 241. Its proper divisors sum to 146,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A7C.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Semiperfect 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
258,731
Recamán's sequence
a(493,123) = 137,852
Square (n²)
19,003,173,904
Cube (n³)
2,619,625,529,014,208
Divisor count
24
σ(n) — sum of divisors
284,592
φ(n) — Euler's totient
57,600
Sum of prime factors
269

Primality

Prime factorization: 2 2 × 11 × 13 × 241

Nearest primes: 137,849 (−3) · 137,867 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 13 · 22 · 26 · 44 · 52 · 143 · 241 · 286 · 482 · 572 · 964 · 2651 · 3133 · 5302 · 6266 · 10604 · 12532 · 34463 · 68926 (half) · 137852
Aliquot sum (sum of proper divisors): 146,740
Factor pairs (a × b = 137,852)
1 × 137852
2 × 68926
4 × 34463
11 × 12532
13 × 10604
22 × 6266
26 × 5302
44 × 3133
52 × 2651
143 × 964
241 × 572
286 × 482
First multiples
137,852 · 275,704 (double) · 413,556 · 551,408 · 689,260 · 827,112 · 964,964 · 1,102,816 · 1,240,668 · 1,378,520

Sums & aliquot sequence

As consecutive integers: 17,228 + 17,229 + … + 17,235 12,527 + 12,528 + … + 12,537 10,598 + 10,599 + … + 10,610 1,523 + 1,524 + … + 1,610
Aliquot sequence: 137,852 146,740 216,140 246,532 261,500 310,708 237,392 236,164 223,484 167,620 219,200 324,106 162,056 148,984 155,936 179,728 177,392 — unresolved within range

Continued fraction of √n

√137,852 = [371; (3, 1, 1, 13, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 4, 1, 5, 1, 2, 1, 14, 2, 2, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred fifty-two
Ordinal
137852nd
Binary
100001101001111100
Octal
415174
Hexadecimal
0x21A7C
Base64
Ahp8
One's complement
4,294,829,443 (32-bit)
Scientific notation
1.37852 × 10⁵
As a duration
137,852 s = 1 day, 14 hours, 17 minutes, 32 seconds
In other bases
ternary (3) 21000002122
quaternary (4) 201221330
quinary (5) 13402402
senary (6) 2542112
septenary (7) 1112621
nonary (9) 230078
undecimal (11) 94630
duodecimal (12) 67938
tridecimal (13) 4a990
tetradecimal (14) 38348
pentadecimal (15) 2aca2
Palindromic in base 15

As an angle

137,852° = 382 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζωνβʹ
Mayan (base 20)
𝋱·𝋤·𝋬·𝋬
Chinese
一十三萬七千八百五十二
Chinese (financial)
壹拾參萬柒仟捌佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٧٨٥٢ Devanagari १३७८५२ Bengali ১৩৭৮৫২ Tamil ௧௩௭௮௫௨ Thai ๑๓๗๘๕๒ Tibetan ༡༣༧༨༥༢ Khmer ១៣៧៨៥២ Lao ໑໓໗໘໕໒ Burmese ၁၃၇၈၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137852, here are decompositions:

  • 3 + 137849 = 137852
  • 61 + 137791 = 137852
  • 109 + 137743 = 137852
  • 139 + 137713 = 137852
  • 193 + 137659 = 137852
  • 199 + 137653 = 137852
  • 229 + 137623 = 137852
  • 409 + 137443 = 137852

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩼
CJK Unified Ideograph-21A7C
U+21A7C
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 BC (4 bytes).

Hex color
#021A7C
RGB(2, 26, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.124.

Address
0.2.26.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.124

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 137,852 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 137852 first appears in π at position 367,596 of the decimal expansion (the 367,596ordinal-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.