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137,752

137,752 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.).

137,752 (one hundred thirty-seven thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 67 × 257. Written other ways, in hexadecimal, 0x21A18.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,470
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
257,731
Recamán's sequence
a(493,323) = 137,752
Square (n²)
18,975,613,504
Cube (n³)
2,613,928,711,403,008
Divisor count
16
σ(n) — sum of divisors
263,160
φ(n) — Euler's totient
67,584
Sum of prime factors
330

Primality

Prime factorization: 2 3 × 67 × 257

Nearest primes: 137,743 (−9) · 137,771 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 67 · 134 · 257 · 268 · 514 · 536 · 1028 · 2056 · 17219 · 34438 · 68876 (half) · 137752
Aliquot sum (sum of proper divisors): 125,408
Factor pairs (a × b = 137,752)
1 × 137752
2 × 68876
4 × 34438
8 × 17219
67 × 2056
134 × 1028
257 × 536
268 × 514
First multiples
137,752 · 275,504 (double) · 413,256 · 551,008 · 688,760 · 826,512 · 964,264 · 1,102,016 · 1,239,768 · 1,377,520

Sums & aliquot sequence

As consecutive integers: 8,602 + 8,603 + … + 8,617 2,023 + 2,024 + … + 2,089 408 + 409 + … + 664
Aliquot sequence: 137,752 125,408 121,552 119,504 172,144 229,616 222,736 208,846 135,890 112,942 58,058 62,902 44,954 42,886 23,138 13,150 11,402 — unresolved within range

Continued fraction of √n

√137,752 = [371; (6, 1, 2, 5, 2, 2, 8, 1, 91, 1, 8, 2, 2, 5, 2, 1, 6, 742)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred fifty-two
Ordinal
137752nd
Binary
100001101000011000
Octal
415030
Hexadecimal
0x21A18
Base64
AhoY
One's complement
4,294,829,543 (32-bit)
Scientific notation
1.37752 × 10⁵
As a duration
137,752 s = 1 day, 14 hours, 15 minutes, 52 seconds
In other bases
ternary (3) 20222221221
quaternary (4) 201220120
quinary (5) 13402002
senary (6) 2541424
septenary (7) 1112416
nonary (9) 228857
undecimal (11) 9454a
duodecimal (12) 67874
tridecimal (13) 4a914
tetradecimal (14) 382b6
pentadecimal (15) 2ac37

As an angle

137,752° = 382 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζψνβʹ
Mayan (base 20)
𝋱·𝋤·𝋧·𝋬
Chinese
一十三萬七千七百五十二
Chinese (financial)
壹拾參萬柒仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٧٧٥٢ Devanagari १३७७५२ Bengali ১৩৭৭৫২ Tamil ௧௩௭௭௫௨ Thai ๑๓๗๗๕๒ Tibetan ༡༣༧༧༥༢ Khmer ១៣៧៧៥២ Lao ໑໓໗໗໕໒ Burmese ၁၃၇၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137752, here are decompositions:

  • 29 + 137723 = 137752
  • 53 + 137699 = 137752
  • 113 + 137639 = 137752
  • 179 + 137573 = 137752
  • 233 + 137519 = 137752
  • 269 + 137483 = 137752
  • 353 + 137399 = 137752
  • 359 + 137393 = 137752

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨘
CJK Unified Ideograph-21A18
U+21A18
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 98 (4 bytes).

Hex color
#021A18
RGB(2, 26, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.24.

Address
0.2.26.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.24

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 137,752 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 137752 first appears in π at position 91,876 of the decimal expansion (the 91,876ordinal-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