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137,902

137,902 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.).

137,902 (one hundred thirty-seven thousand nine hundred two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 19² × 191. Written other ways, in hexadecimal, 0x21AAE.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
209,731
Recamán's sequence
a(493,023) = 137,902
Square (n²)
19,016,961,604
Cube (n³)
2,622,477,039,114,808
Divisor count
12
σ(n) — sum of divisors
219,456
φ(n) — Euler's totient
64,980
Sum of prime factors
231

Primality

Prime factorization: 2 × 19 2 × 191

Nearest primes: 137,873 (−29) · 137,909 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 19 · 38 · 191 · 361 · 382 · 722 · 3629 · 7258 · 68951 (half) · 137902
Aliquot sum (sum of proper divisors): 81,554
Factor pairs (a × b = 137,902)
1 × 137902
2 × 68951
19 × 7258
38 × 3629
191 × 722
361 × 382
First multiples
137,902 · 275,804 (double) · 413,706 · 551,608 · 689,510 · 827,412 · 965,314 · 1,103,216 · 1,241,118 · 1,379,020

Sums & aliquot sequence

As consecutive integers: 34,474 + 34,475 + 34,476 + 34,477 7,249 + 7,250 + … + 7,267 1,777 + 1,778 + … + 1,852 627 + 628 + … + 817
Aliquot sequence: 137,902 81,554 53,308 39,988 35,472 56,288 54,592 53,866 30,518 15,262 9,434 5,146 2,918 1,462 914 460 548 — unresolved within range

Continued fraction of √n

√137,902 = [371; (2, 1, 5, 2, 2, 1, 1, 1, 19, 2, 3, 1, 4, 7, 13, 1, 6, 1, 34, 2, 34, 1, 6, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred two
Ordinal
137902nd
Binary
100001101010101110
Octal
415256
Hexadecimal
0x21AAE
Base64
Ahqu
One's complement
4,294,829,393 (32-bit)
Scientific notation
1.37902 × 10⁵
As a duration
137,902 s = 1 day, 14 hours, 18 minutes, 22 seconds
In other bases
ternary (3) 21000011111
quaternary (4) 201222232
quinary (5) 13403102
senary (6) 2542234
septenary (7) 1113022
nonary (9) 230144
undecimal (11) 94676
duodecimal (12) 6797a
tridecimal (13) 4a9cb
tetradecimal (14) 38382
pentadecimal (15) 2acd7

As an angle

137,902° = 383 × 360° + 22°
22° ≈ 0.384 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλζϡβʹ
Mayan (base 20)
𝋱·𝋤·𝋯·𝋢
Chinese
一十三萬七千九百零二
Chinese (financial)
壹拾參萬柒仟玖佰零貳
In other modern scripts
Eastern Arabic ١٣٧٩٠٢ Devanagari १३७९०२ Bengali ১৩৭৯০২ Tamil ௧௩௭௯௦௨ Thai ๑๓๗๙๐๒ Tibetan ༡༣༧༩༠༢ Khmer ១៣៧៩០២ Lao ໑໓໗໙໐໒ Burmese ၁၃၇၉၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137902, here are decompositions:

  • 29 + 137873 = 137902
  • 53 + 137849 = 137902
  • 71 + 137831 = 137902
  • 131 + 137771 = 137902
  • 179 + 137723 = 137902
  • 263 + 137639 = 137902
  • 269 + 137633 = 137902
  • 383 + 137519 = 137902

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪮
CJK Unified Ideograph-21Aae
U+21AAE
Other letter (Lo)

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

Hex color
#021AAE
RGB(2, 26, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.174.

Address
0.2.26.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.174

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 137,902 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 137902 first appears in π at position 156,650 of the decimal expansion (the 156,650ordinal-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