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137,896

137,896 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.).

137,896 (one hundred thirty-seven thousand eight hundred ninety-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,567. Its proper divisors sum to 144,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AA8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
9,072
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
698,731
Recamán's sequence
a(493,035) = 137,896
Square (n²)
19,015,306,816
Cube (n³)
2,622,134,748,699,136
Divisor count
16
σ(n) — sum of divisors
282,240
φ(n) — Euler's totient
62,640
Sum of prime factors
1,584

Primality

Prime factorization: 2 3 × 11 × 1567

Nearest primes: 137,873 (−23) · 137,909 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 1567 · 3134 · 6268 · 12536 · 17237 · 34474 · 68948 (half) · 137896
Aliquot sum (sum of proper divisors): 144,344
Factor pairs (a × b = 137,896)
1 × 137896
2 × 68948
4 × 34474
8 × 17237
11 × 12536
22 × 6268
44 × 3134
88 × 1567
First multiples
137,896 · 275,792 (double) · 413,688 · 551,584 · 689,480 · 827,376 · 965,272 · 1,103,168 · 1,241,064 · 1,378,960

Sums & aliquot sequence

As consecutive integers: 12,531 + 12,532 + … + 12,541 8,611 + 8,612 + … + 8,626 696 + 697 + … + 871
Aliquot sequence: 137,896 144,344 126,316 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 2,110,614 2,551,530 3,933,654 3,953,706 4,065,942 4,065,954 — unresolved within range

Continued fraction of √n

√137,896 = [371; (2, 1, 10, 3, 1, 11, 1, 1, 1, 1, 1, 5, 2, 1, 2, 1, 3, 3, 30, 1, 1, 1, 3, 2, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred ninety-six
Ordinal
137896th
Binary
100001101010101000
Octal
415250
Hexadecimal
0x21AA8
Base64
Ahqo
One's complement
4,294,829,399 (32-bit)
Scientific notation
1.37896 × 10⁵
As a duration
137,896 s = 1 day, 14 hours, 18 minutes, 16 seconds
In other bases
ternary (3) 21000011021
quaternary (4) 201222220
quinary (5) 13403041
senary (6) 2542224
septenary (7) 1113013
nonary (9) 230137
undecimal (11) 94670
duodecimal (12) 67974
tridecimal (13) 4a9c5
tetradecimal (14) 3837a
pentadecimal (15) 2acd1

As an angle

137,896° = 383 × 360° + 16°
16° ≈ 0.279 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωϟϛʹ
Mayan (base 20)
𝋱·𝋤·𝋮·𝋰
Chinese
一十三萬七千八百九十六
Chinese (financial)
壹拾參萬柒仟捌佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٧٨٩٦ Devanagari १३७८९६ Bengali ১৩৭৮৯৬ Tamil ௧௩௭௮௯௬ Thai ๑๓๗๘๙๖ Tibetan ༡༣༧༨༩༦ Khmer ១៣៧៨៩៦ Lao ໑໓໗໘໙໖ Burmese ၁၃၇၈၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137896, here are decompositions:

  • 23 + 137873 = 137896
  • 29 + 137867 = 137896
  • 47 + 137849 = 137896
  • 173 + 137723 = 137896
  • 197 + 137699 = 137896
  • 257 + 137639 = 137896
  • 263 + 137633 = 137896
  • 359 + 137537 = 137896

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪨
CJK Unified Ideograph-21Aa8
U+21AA8
Other letter (Lo)

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

Hex color
#021AA8
RGB(2, 26, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.168.

Address
0.2.26.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.168

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 137,896 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