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137,864

137,864 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.).

137,864 (one hundred thirty-seven thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 19 × 907. Written other ways, in hexadecimal, 0x21A88.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
468,731
Recamán's sequence
a(493,099) = 137,864
Square (n²)
19,006,482,496
Cube (n³)
2,620,309,702,828,544
Divisor count
16
σ(n) — sum of divisors
272,400
φ(n) — Euler's totient
65,232
Sum of prime factors
932

Primality

Prime factorization: 2 3 × 19 × 907

Nearest primes: 137,849 (−15) · 137,867 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 19 · 38 · 76 · 152 · 907 · 1814 · 3628 · 7256 · 17233 · 34466 · 68932 (half) · 137864
Aliquot sum (sum of proper divisors): 134,536
Factor pairs (a × b = 137,864)
1 × 137864
2 × 68932
4 × 34466
8 × 17233
19 × 7256
38 × 3628
76 × 1814
152 × 907
First multiples
137,864 · 275,728 (double) · 413,592 · 551,456 · 689,320 · 827,184 · 965,048 · 1,102,912 · 1,240,776 · 1,378,640

Sums & aliquot sequence

As consecutive integers: 8,609 + 8,610 + … + 8,624 7,247 + 7,248 + … + 7,265 302 + 303 + … + 605
Aliquot sequence: 137,864 134,536 122,504 107,206 69,950 60,250 53,006 31,234 25,214 18,034 9,614 7,666 3,836 3,892 3,948 6,804 13,580 — unresolved within range

Continued fraction of √n

√137,864 = [371; (3, 3, 23, 1, 1, 1, 8, 1, 2, 1, 4, 2, 4, 2, 6, 1, 3, 5, 1, 7, 4, 3, 7, 1, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred sixty-four
Ordinal
137864th
Binary
100001101010001000
Octal
415210
Hexadecimal
0x21A88
Base64
AhqI
One's complement
4,294,829,431 (32-bit)
Scientific notation
1.37864 × 10⁵
As a duration
137,864 s = 1 day, 14 hours, 17 minutes, 44 seconds
In other bases
ternary (3) 21000010002
quaternary (4) 201222020
quinary (5) 13402424
senary (6) 2542132
septenary (7) 1112636
nonary (9) 230102
undecimal (11) 94641
duodecimal (12) 67948
tridecimal (13) 4a99c
tetradecimal (14) 38356
pentadecimal (15) 2acae

As an angle

137,864° = 382 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωξδʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋤
Chinese
一十三萬七千八百六十四
Chinese (financial)
壹拾參萬柒仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٧٨٦٤ Devanagari १३७८६४ Bengali ১৩৭৮৬৪ Tamil ௧௩௭௮௬௪ Thai ๑๓๗๘๖๔ Tibetan ༡༣༧༨༦༤ Khmer ១៣៧៨៦៤ Lao ໑໓໗໘໖໔ Burmese ၁၃၇၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137864, here are decompositions:

  • 37 + 137827 = 137864
  • 61 + 137803 = 137864
  • 73 + 137791 = 137864
  • 127 + 137737 = 137864
  • 151 + 137713 = 137864
  • 157 + 137707 = 137864
  • 211 + 137653 = 137864
  • 241 + 137623 = 137864

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪈
CJK Unified Ideograph-21A88
U+21A88
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 88 (4 bytes).

Hex color
#021A88
RGB(2, 26, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.136.

Address
0.2.26.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.136

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 137,864 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 137864 first appears in π at position 577,295 of the decimal expansion (the 577,295ordinal-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.