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137,750

137,750 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.).

137,750 (one hundred thirty-seven thousand seven hundred fifty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5³ × 19 × 29. Its proper divisors sum to 143,050, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A16.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
57,731
Recamán's sequence
a(493,327) = 137,750
Square (n²)
18,975,062,500
Cube (n³)
2,613,814,859,375,000
Divisor count
32
σ(n) — sum of divisors
280,800
φ(n) — Euler's totient
50,400
Sum of prime factors
65

Primality

Prime factorization: 2 × 5 3 × 19 × 29

Nearest primes: 137,743 (−7) · 137,771 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 19 · 25 · 29 · 38 · 50 · 58 · 95 · 125 · 145 · 190 · 250 · 290 · 475 · 551 · 725 · 950 · 1102 · 1450 · 2375 · 2755 · 3625 · 4750 · 5510 · 7250 · 13775 · 27550 · 68875 (half) · 137750
Aliquot sum (sum of proper divisors): 143,050
Factor pairs (a × b = 137,750)
1 × 137750
2 × 68875
5 × 27550
10 × 13775
19 × 7250
25 × 5510
29 × 4750
38 × 3625
50 × 2755
58 × 2375
95 × 1450
125 × 1102
145 × 950
190 × 725
250 × 551
290 × 475
First multiples
137,750 · 275,500 (double) · 413,250 · 551,000 · 688,750 · 826,500 · 964,250 · 1,102,000 · 1,239,750 · 1,377,500

Sums & aliquot sequence

As consecutive integers: 34,436 + 34,437 + 34,438 + 34,439 27,548 + 27,549 + 27,550 + 27,551 + 27,552 7,241 + 7,242 + … + 7,259 6,878 + 6,879 + … + 6,897
Aliquot sequence: 137,750 143,050 123,116 123,172 130,844 130,900 244,076 266,644 277,676 292,180 409,388 409,444 424,466 303,214 151,610 121,306 62,438 — unresolved within range

Continued fraction of √n

√137,750 = [371; (6, 1, 4, 4, 2, 2, 8, 4, 2, 29, 4, 14, 1, 9, 10, 2, 1, 4, 1, 1, 1, 29, 21, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred fifty
Ordinal
137750th
Binary
100001101000010110
Octal
415026
Hexadecimal
0x21A16
Base64
AhoW
One's complement
4,294,829,545 (32-bit)
Scientific notation
1.3775 × 10⁵
As a duration
137,750 s = 1 day, 14 hours, 15 minutes, 50 seconds
In other bases
ternary (3) 20222221212
quaternary (4) 201220112
quinary (5) 13402000
senary (6) 2541422
septenary (7) 1112414
nonary (9) 228855
undecimal (11) 94548
duodecimal (12) 67872
tridecimal (13) 4a912
tetradecimal (14) 382b4
pentadecimal (15) 2ac35

As an angle

137,750° = 382 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζψνʹ
Mayan (base 20)
𝋱·𝋤·𝋧·𝋪
Chinese
一十三萬七千七百五十
Chinese (financial)
壹拾參萬柒仟柒佰伍拾
In other modern scripts
Eastern Arabic ١٣٧٧٥٠ Devanagari १३७७५० Bengali ১৩৭৭৫০ Tamil ௧௩௭௭௫௦ Thai ๑๓๗๗๕๐ Tibetan ༡༣༧༧༥༠ Khmer ១៣៧៧៥០ Lao ໑໓໗໗໕໐ Burmese ၁၃၇၇၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137750, here are decompositions:

  • 7 + 137743 = 137750
  • 13 + 137737 = 137750
  • 37 + 137713 = 137750
  • 43 + 137707 = 137750
  • 97 + 137653 = 137750
  • 127 + 137623 = 137750
  • 157 + 137593 = 137750
  • 163 + 137587 = 137750

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨖
CJK Unified Ideograph-21A16
U+21A16
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 96 (4 bytes).

Hex color
#021A16
RGB(2, 26, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.22.

Address
0.2.26.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.22

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 137,750 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.