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137,576

137,576 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.).

137,576 (one hundred thirty-seven thousand five hundred seventy-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 593. Written other ways, in hexadecimal, 0x21968.

Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,410
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
675,731
Recamán's sequence
a(493,675) = 137,576
Square (n²)
18,927,155,776
Cube (n³)
2,603,922,383,038,976
Divisor count
16
σ(n) — sum of divisors
267,300
φ(n) — Euler's totient
66,304
Sum of prime factors
628

Primality

Prime factorization: 2 3 × 29 × 593

Nearest primes: 137,573 (−3) · 137,587 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 593 · 1186 · 2372 · 4744 · 17197 · 34394 · 68788 (half) · 137576
Aliquot sum (sum of proper divisors): 129,724
Factor pairs (a × b = 137,576)
1 × 137576
2 × 68788
4 × 34394
8 × 17197
29 × 4744
58 × 2372
116 × 1186
232 × 593
First multiples
137,576 · 275,152 (double) · 412,728 · 550,304 · 687,880 · 825,456 · 963,032 · 1,100,608 · 1,238,184 · 1,375,760

Sums & aliquot sequence

As a sum of two squares: 26² + 370² = 250² + 274²
As consecutive integers: 8,591 + 8,592 + … + 8,606 4,730 + 4,731 + … + 4,758 65 + 66 + … + 528
Aliquot sequence: 137,576 129,724 138,404 138,460 216,356 216,412 227,108 227,164 267,596 296,884 324,044 337,204 337,260 856,212 1,427,244 2,674,644 4,881,324 — unresolved within range

Continued fraction of √n

√137,576 = [370; (1, 10, 2, 2, 2, 2, 4, 2, 6, 1, 31, 2, 1, 1, 2, 1, 1, 2, 31, 1, 6, 2, 4, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred seventy-six
Ordinal
137576th
Binary
100001100101101000
Octal
414550
Hexadecimal
0x21968
Base64
Ahlo
One's complement
4,294,829,719 (32-bit)
Scientific notation
1.37576 × 10⁵
As a duration
137,576 s = 1 day, 14 hours, 12 minutes, 56 seconds
In other bases
ternary (3) 20222201102
quaternary (4) 201211220
quinary (5) 13400301
senary (6) 2540532
septenary (7) 1112045
nonary (9) 228642
undecimal (11) 943aa
duodecimal (12) 67748
tridecimal (13) 4a80a
tetradecimal (14) 381cc
pentadecimal (15) 2ab6b

As an angle

137,576° = 382 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφοϛʹ
Mayan (base 20)
𝋱·𝋣·𝋲·𝋰
Chinese
一十三萬七千五百七十六
Chinese (financial)
壹拾參萬柒仟伍佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٧٥٧٦ Devanagari १३७५७६ Bengali ১৩৭৫৭৬ Tamil ௧௩௭௫௭௬ Thai ๑๓๗๕๗๖ Tibetan ༡༣༧༥༧༦ Khmer ១៣៧៥៧៦ Lao ໑໓໗໕໗໖ Burmese ၁၃၇၅၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137576, here are decompositions:

  • 3 + 137573 = 137576
  • 139 + 137437 = 137576
  • 163 + 137413 = 137576
  • 193 + 137383 = 137576
  • 223 + 137353 = 137576
  • 337 + 137239 = 137576
  • 367 + 137209 = 137576
  • 379 + 137197 = 137576

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥨
CJK Unified Ideograph-21968
U+21968
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 A8 (4 bytes).

Hex color
#021968
RGB(2, 25, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.104.

Address
0.2.25.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.104

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 137,576 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 137576 first appears in π at position 917,661 of the decimal expansion (the 917,661ordinal-suffix:st 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.