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137,870

137,870 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.).

137,870 (one hundred thirty-seven thousand eight hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 17 × 811. Written other ways, in hexadecimal, 0x21A8E.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
78,731
Recamán's sequence
a(493,087) = 137,870
Square (n²)
19,008,136,900
Cube (n³)
2,620,651,834,403,000
Divisor count
16
σ(n) — sum of divisors
263,088
φ(n) — Euler's totient
51,840
Sum of prime factors
835

Primality

Prime factorization: 2 × 5 × 17 × 811

Nearest primes: 137,869 (−1) · 137,873 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 17 · 34 · 85 · 170 · 811 · 1622 · 4055 · 8110 · 13787 · 27574 · 68935 (half) · 137870
Aliquot sum (sum of proper divisors): 125,218
Factor pairs (a × b = 137,870)
1 × 137870
2 × 68935
5 × 27574
10 × 13787
17 × 8110
34 × 4055
85 × 1622
170 × 811
First multiples
137,870 · 275,740 (double) · 413,610 · 551,480 · 689,350 · 827,220 · 965,090 · 1,102,960 · 1,240,830 · 1,378,700

Sums & aliquot sequence

As consecutive integers: 34,466 + 34,467 + 34,468 + 34,469 27,572 + 27,573 + 27,574 + 27,575 + 27,576 8,102 + 8,103 + … + 8,118 6,884 + 6,885 + … + 6,903
Aliquot sequence: 137,870 125,218 64,394 41,014 20,510 21,826 15,614 8,554 7,574 5,434 4,646 2,698 1,622 814 554 280 440 — unresolved within range

Continued fraction of √n

√137,870 = [371; (3, 4, 7, 8, 4, 1, 6, 4, 1, 38, 3, 1, 1, 2, 1, 1, 1, 11, 1, 20, 1, 11, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred seventy
Ordinal
137870th
Binary
100001101010001110
Octal
415216
Hexadecimal
0x21A8E
Base64
AhqO
One's complement
4,294,829,425 (32-bit)
Scientific notation
1.3787 × 10⁵
As a duration
137,870 s = 1 day, 14 hours, 17 minutes, 50 seconds
In other bases
ternary (3) 21000010022
quaternary (4) 201222032
quinary (5) 13402440
senary (6) 2542142
septenary (7) 1112645
nonary (9) 230108
undecimal (11) 94647
duodecimal (12) 67952
tridecimal (13) 4a9a5
tetradecimal (14) 3835c
pentadecimal (15) 2acb5

As an angle

137,870° = 382 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζωοʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋪
Chinese
一十三萬七千八百七十
Chinese (financial)
壹拾參萬柒仟捌佰柒拾
In other modern scripts
Eastern Arabic ١٣٧٨٧٠ Devanagari १३७८७० Bengali ১৩৭৮৭০ Tamil ௧௩௭௮௭௦ Thai ๑๓๗๘๗๐ Tibetan ༡༣༧༨༧༠ Khmer ១៣៧៨៧០ Lao ໑໓໗໘໗໐ Burmese ၁၃၇၈၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137870, here are decompositions:

  • 3 + 137867 = 137870
  • 43 + 137827 = 137870
  • 67 + 137803 = 137870
  • 79 + 137791 = 137870
  • 127 + 137743 = 137870
  • 157 + 137713 = 137870
  • 163 + 137707 = 137870
  • 211 + 137659 = 137870

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪎
CJK Unified Ideograph-21A8E
U+21A8E
Other letter (Lo)

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

Hex color
#021A8E
RGB(2, 26, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.142.

Address
0.2.26.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.142

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 137,870 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 137870 first appears in π at position 793,682 of the decimal expansion (the 793,682ordinal-suffix:nd 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.