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137,900

137,900 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.).

137,900 (one hundred thirty-seven thousand nine hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 7 × 197. Its proper divisors sum to 205,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AAC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
9,731
Recamán's sequence
a(493,027) = 137,900
Square (n²)
19,016,410,000
Cube (n³)
2,622,362,939,000,000
Divisor count
36
σ(n) — sum of divisors
343,728
φ(n) — Euler's totient
47,040
Sum of prime factors
218

Primality

Prime factorization: 2 2 × 5 2 × 7 × 197

Nearest primes: 137,873 (−27) · 137,909 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 50 · 70 · 100 · 140 · 175 · 197 · 350 · 394 · 700 · 788 · 985 · 1379 · 1970 · 2758 · 3940 · 4925 · 5516 · 6895 · 9850 · 13790 · 19700 · 27580 · 34475 · 68950 (half) · 137900
Aliquot sum (sum of proper divisors): 205,828
Factor pairs (a × b = 137,900)
1 × 137900
2 × 68950
4 × 34475
5 × 27580
7 × 19700
10 × 13790
14 × 9850
20 × 6895
25 × 5516
28 × 4925
35 × 3940
50 × 2758
70 × 1970
100 × 1379
140 × 985
175 × 788
197 × 700
350 × 394
First multiples
137,900 · 275,800 (double) · 413,700 · 551,600 · 689,500 · 827,400 · 965,300 · 1,103,200 · 1,241,100 · 1,379,000

Sums & aliquot sequence

As consecutive integers: 27,578 + 27,579 + 27,580 + 27,581 + 27,582 19,697 + 19,698 + … + 19,703 17,234 + 17,235 + … + 17,241 5,504 + 5,505 + … + 5,528
Aliquot sequence: 137,900 205,828 205,884 434,756 434,812 454,244 454,300 795,620 1,114,204 1,286,404 1,286,460 3,177,636 6,606,684 13,206,564 26,456,220 68,434,884 139,685,756 — unresolved within range

Continued fraction of √n

√137,900 = [371; (2, 1, 6, 2, 9, 3, 3, 1, 11, 1, 4, 1, 1, 5, 1, 5, 1, 28, 1, 5, 1, 5, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred
Ordinal
137900th
Binary
100001101010101100
Octal
415254
Hexadecimal
0x21AAC
Base64
Ahqs
One's complement
4,294,829,395 (32-bit)
Scientific notation
1.379 × 10⁵
As a duration
137,900 s = 1 day, 14 hours, 18 minutes, 20 seconds
In other bases
ternary (3) 21000011102
quaternary (4) 201222230
quinary (5) 13403100
senary (6) 2542232
septenary (7) 1113020
nonary (9) 230142
undecimal (11) 94674
duodecimal (12) 67978
tridecimal (13) 4a9c9
tetradecimal (14) 38380
pentadecimal (15) 2acd5

As an angle

137,900° = 383 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλζϡʹ
Mayan (base 20)
𝋱·𝋤·𝋯·𝋠
Chinese
一十三萬七千九百
Chinese (financial)
壹拾參萬柒仟玖佰
In other modern scripts
Eastern Arabic ١٣٧٩٠٠ Devanagari १३७९०० Bengali ১৩৭৯০০ Tamil ௧௩௭௯௦௦ Thai ๑๓๗๙๐๐ Tibetan ༡༣༧༩༠༠ Khmer ១៣៧៩០០ Lao ໑໓໗໙໐໐ Burmese ၁၃၇၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137900, here are decompositions:

  • 31 + 137869 = 137900
  • 73 + 137827 = 137900
  • 97 + 137803 = 137900
  • 109 + 137791 = 137900
  • 157 + 137743 = 137900
  • 163 + 137737 = 137900
  • 193 + 137707 = 137900
  • 241 + 137659 = 137900

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪬
CJK Unified Ideograph-21Aac
U+21AAC
Other letter (Lo)

UTF-8 encoding: F0 A1 AA AC (4 bytes).

Hex color
#021AAC
RGB(2, 26, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.172.

Address
0.2.26.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.172

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 137,900 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

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