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137,552

137,552 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.).

137,552 (one hundred thirty-seven thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,597. Written other ways, in hexadecimal, 0x21950.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,050
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
255,731
Recamán's sequence
a(493,723) = 137,552
Square (n²)
18,920,552,704
Cube (n³)
2,602,559,865,540,608
Divisor count
10
σ(n) — sum of divisors
266,538
φ(n) — Euler's totient
68,768
Sum of prime factors
8,605

Primality

Prime factorization: 2 4 × 8597

Nearest primes: 137,537 (−15) · 137,567 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8597 · 17194 · 34388 · 68776 (half) · 137552
Aliquot sum (sum of proper divisors): 128,986
Factor pairs (a × b = 137,552)
1 × 137552
2 × 68776
4 × 34388
8 × 17194
16 × 8597
First multiples
137,552 · 275,104 (double) · 412,656 · 550,208 · 687,760 · 825,312 · 962,864 · 1,100,416 · 1,237,968 · 1,375,520

Sums & aliquot sequence

As a sum of two squares: 104² + 356²
As consecutive integers: 4,283 + 4,284 + … + 4,314
Aliquot sequence: 137,552 128,986 105,626 52,816 49,546 35,414 17,710 23,762 12,211 1 0 — terminates at zero

Continued fraction of √n

√137,552 = [370; (1, 7, 2, 1, 45, 1, 2, 7, 1, 740)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand five hundred fifty-two
Ordinal
137552nd
Binary
100001100101010000
Octal
414520
Hexadecimal
0x21950
Base64
AhlQ
One's complement
4,294,829,743 (32-bit)
Scientific notation
1.37552 × 10⁵
As a duration
137,552 s = 1 day, 14 hours, 12 minutes, 32 seconds
In other bases
ternary (3) 20222200112
quaternary (4) 201211100
quinary (5) 13400202
senary (6) 2540452
septenary (7) 1112012
nonary (9) 228615
undecimal (11) 94388
duodecimal (12) 67728
tridecimal (13) 4a7bc
tetradecimal (14) 381b2
pentadecimal (15) 2ab52
Palindromic in base 6

As an angle

137,552° = 382 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζφνβʹ
Mayan (base 20)
𝋱·𝋣·𝋱·𝋬
Chinese
一十三萬七千五百五十二
Chinese (financial)
壹拾參萬柒仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٧٥٥٢ Devanagari १३७५५२ Bengali ১৩৭৫৫২ Tamil ௧௩௭௫௫௨ Thai ๑๓๗๕๕๒ Tibetan ༡༣༧༥༥༢ Khmer ១៣៧៥៥២ Lao ໑໓໗໕໕໒ Burmese ၁၃၇၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137552, here are decompositions:

  • 61 + 137491 = 137552
  • 109 + 137443 = 137552
  • 139 + 137413 = 137552
  • 193 + 137359 = 137552
  • 199 + 137353 = 137552
  • 211 + 137341 = 137552
  • 313 + 137239 = 137552
  • 409 + 137143 = 137552

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥐
CJK Unified Ideograph-21950
U+21950
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 90 (4 bytes).

Hex color
#021950
RGB(2, 25, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.80.

Address
0.2.25.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.80

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 137,552 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 137552 first appears in π at position 55,527 of the decimal expansion (the 55,527ordinal-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.