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137,756

137,756 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.).

137,756 (one hundred thirty-seven thousand seven hundred fifty-six) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,439. Written other ways, in hexadecimal, 0x21A1C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,410
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
657,731
Recamán's sequence
a(493,315) = 137,756
Square (n²)
18,976,715,536
Cube (n³)
2,614,156,425,377,216
Divisor count
6
σ(n) — sum of divisors
241,080
φ(n) — Euler's totient
68,876
Sum of prime factors
34,443

Primality

Prime factorization: 2 2 × 34439

Nearest primes: 137,743 (−13) · 137,771 (+15)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34439 · 68878 (half) · 137756
Aliquot sum (sum of proper divisors): 103,324
Factor pairs (a × b = 137,756)
1 × 137756
2 × 68878
4 × 34439
First multiples
137,756 · 275,512 (double) · 413,268 · 551,024 · 688,780 · 826,536 · 964,292 · 1,102,048 · 1,239,804 · 1,377,560

Sums & aliquot sequence

As consecutive integers: 17,216 + 17,217 + … + 17,223
Aliquot sequence: 137,756 103,324 91,500 179,316 302,256 544,044 725,420 968,020 1,136,180 1,249,840 1,830,320 2,481,904 2,326,816 2,662,784 2,735,056 2,596,944 5,259,696 — unresolved within range

Continued fraction of √n

√137,756 = [371; (6, 2, 4, 1, 7, 3, 1, 36, 2, 1, 3, 1, 7, 1, 1, 1, 5, 1, 4, 29, 2, 17, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred fifty-six
Ordinal
137756th
Binary
100001101000011100
Octal
415034
Hexadecimal
0x21A1C
Base64
Ahoc
One's complement
4,294,829,539 (32-bit)
Scientific notation
1.37756 × 10⁵
As a duration
137,756 s = 1 day, 14 hours, 15 minutes, 56 seconds
In other bases
ternary (3) 20222222002
quaternary (4) 201220130
quinary (5) 13402011
senary (6) 2541432
septenary (7) 1112423
nonary (9) 228862
undecimal (11) 94553
duodecimal (12) 67878
tridecimal (13) 4a918
tetradecimal (14) 382ba
pentadecimal (15) 2ac3b

As an angle

137,756° = 382 × 360° + 236°
236° ≈ 4.119 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψνϛʹ
Mayan (base 20)
𝋱·𝋤·𝋧·𝋰
Chinese
一十三萬七千七百五十六
Chinese (financial)
壹拾參萬柒仟柒佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٧٧٥٦ Devanagari १३७७५६ Bengali ১৩৭৭৫৬ Tamil ௧௩௭௭௫௬ Thai ๑๓๗๗๕๖ Tibetan ༡༣༧༧༥༦ Khmer ១៣៧៧៥៦ Lao ໑໓໗໗໕໖ Burmese ၁၃၇၇၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137756, here are decompositions:

  • 13 + 137743 = 137756
  • 19 + 137737 = 137756
  • 43 + 137713 = 137756
  • 97 + 137659 = 137756
  • 103 + 137653 = 137756
  • 163 + 137593 = 137756
  • 313 + 137443 = 137756
  • 373 + 137383 = 137756

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨜
CJK Unified Ideograph-21A1C
U+21A1C
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 9C (4 bytes).

Hex color
#021A1C
RGB(2, 26, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.28.

Address
0.2.26.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.28

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 137,756 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 137756 first appears in π at position 614,916 of the decimal expansion (the 614,916ordinal-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.