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137,602

137,602 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.).

137,602 (one hundred thirty-seven thousand six hundred two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 107 × 643. Written other ways, in hexadecimal, 0x21982.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
206,731
Recamán's sequence
a(493,623) = 137,602
Square (n²)
18,934,310,404
Cube (n³)
2,605,398,980,211,208
Divisor count
8
σ(n) — sum of divisors
208,656
φ(n) — Euler's totient
68,052
Sum of prime factors
752

Primality

Prime factorization: 2 × 107 × 643

Nearest primes: 137,597 (−5) · 137,623 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 107 · 214 · 643 · 1286 · 68801 (half) · 137602
Aliquot sum (sum of proper divisors): 71,054
Factor pairs (a × b = 137,602)
1 × 137602
2 × 68801
107 × 1286
214 × 643
First multiples
137,602 · 275,204 (double) · 412,806 · 550,408 · 688,010 · 825,612 · 963,214 · 1,100,816 · 1,238,418 · 1,376,020

Sums & aliquot sequence

As consecutive integers: 34,399 + 34,400 + 34,401 + 34,402 1,233 + 1,234 + … + 1,339 108 + 109 + … + 535
Aliquot sequence: 137,602 71,054 35,530 42,230 36,394 20,054 10,954 5,480 6,940 7,676 6,604 5,940 14,220 29,460 53,196 97,332 129,804 — unresolved within range

Continued fraction of √n

√137,602 = [370; (1, 18, 41, 6, 9, 2, 1, 8, 2, 12, 1, 1, 5, 3, 9, 1, 5, 1, 1, 1, 1, 7, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand six hundred two
Ordinal
137602nd
Binary
100001100110000010
Octal
414602
Hexadecimal
0x21982
Base64
AhmC
One's complement
4,294,829,693 (32-bit)
Scientific notation
1.37602 × 10⁵
As a duration
137,602 s = 1 day, 14 hours, 13 minutes, 22 seconds
In other bases
ternary (3) 20222202101
quaternary (4) 201212002
quinary (5) 13400402
senary (6) 2541014
septenary (7) 1112113
nonary (9) 228671
undecimal (11) 94423
duodecimal (12) 6776a
tridecimal (13) 4a82a
tetradecimal (14) 3820a
pentadecimal (15) 2ab87

As an angle

137,602° = 382 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρλζχβʹ
Mayan (base 20)
𝋱·𝋤·𝋠·𝋢
Chinese
一十三萬七千六百零二
Chinese (financial)
壹拾參萬柒仟陸佰零貳
In other modern scripts
Eastern Arabic ١٣٧٦٠٢ Devanagari १३७६०२ Bengali ১৩৭৬০২ Tamil ௧௩௭௬௦௨ Thai ๑๓๗๖๐๒ Tibetan ༡༣༧༦༠༢ Khmer ១៣៧៦០២ Lao ໑໓໗໖໐໒ Burmese ၁၃၇၆၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137602, here are decompositions:

  • 5 + 137597 = 137602
  • 29 + 137573 = 137602
  • 83 + 137519 = 137602
  • 149 + 137453 = 137602
  • 233 + 137369 = 137602
  • 239 + 137363 = 137602
  • 263 + 137339 = 137602
  • 281 + 137321 = 137602

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦂
CJK Unified Ideograph-21982
U+21982
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 82 (4 bytes).

Hex color
#021982
RGB(2, 25, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.130.

Address
0.2.25.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.130

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 137,602 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 137602 first appears in π at position 917,885 of the decimal expansion (the 917,885ordinal-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