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137,572

137,572 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.).

137,572 (one hundred thirty-seven thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 163 × 211. Written other ways, in hexadecimal, 0x21964.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,470
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
275,731
Recamán's sequence
a(493,683) = 137,572
Square (n²)
18,926,055,184
Cube (n³)
2,603,695,263,773,248
Divisor count
12
σ(n) — sum of divisors
243,376
φ(n) — Euler's totient
68,040
Sum of prime factors
378

Primality

Prime factorization: 2 2 × 163 × 211

Nearest primes: 137,567 (−5) · 137,573 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 163 · 211 · 326 · 422 · 652 · 844 · 34393 · 68786 (half) · 137572
Aliquot sum (sum of proper divisors): 105,804
Factor pairs (a × b = 137,572)
1 × 137572
2 × 68786
4 × 34393
163 × 844
211 × 652
326 × 422
First multiples
137,572 · 275,144 (double) · 412,716 · 550,288 · 687,860 · 825,432 · 963,004 · 1,100,576 · 1,238,148 · 1,375,720

Sums & aliquot sequence

As consecutive integers: 17,193 + 17,194 + … + 17,200 763 + 764 + … + 925 547 + 548 + … + 757
Aliquot sequence: 137,572 105,804 161,736 261,624 452,616 678,984 1,109,016 1,950,144 3,950,784 8,002,456 10,862,264 12,915,016 11,300,654 5,665,186 2,832,596 3,000,364 2,559,260 — unresolved within range

Continued fraction of √n

√137,572 = [370; (1, 9, 1, 3, 27, 4, 1, 1, 3, 35, 23, 6, 1, 1, 11, 4, 4, 2, 2, 1, 1, 1, 10, 3, …)]

Representations

In words
one hundred thirty-seven thousand five hundred seventy-two
Ordinal
137572nd
Binary
100001100101100100
Octal
414544
Hexadecimal
0x21964
Base64
Ahlk
One's complement
4,294,829,723 (32-bit)
Scientific notation
1.37572 × 10⁵
As a duration
137,572 s = 1 day, 14 hours, 12 minutes, 52 seconds
In other bases
ternary (3) 20222201021
quaternary (4) 201211210
quinary (5) 13400242
senary (6) 2540524
septenary (7) 1112041
nonary (9) 228637
undecimal (11) 943a6
duodecimal (12) 67744
tridecimal (13) 4a806
tetradecimal (14) 381c8
pentadecimal (15) 2ab67

As an angle

137,572° = 382 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζφοβʹ
Mayan (base 20)
𝋱·𝋣·𝋲·𝋬
Chinese
一十三萬七千五百七十二
Chinese (financial)
壹拾參萬柒仟伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٧٥٧٢ Devanagari १३७५७२ Bengali ১৩৭৫৭২ Tamil ௧௩௭௫௭௨ Thai ๑๓๗๕๗๒ Tibetan ༡༣༧༥༧༢ Khmer ១៣៧៥៧២ Lao ໑໓໗໕໗໒ Burmese ၁၃၇၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137572, here are decompositions:

  • 5 + 137567 = 137572
  • 53 + 137519 = 137572
  • 89 + 137483 = 137572
  • 173 + 137399 = 137572
  • 179 + 137393 = 137572
  • 233 + 137339 = 137572
  • 251 + 137321 = 137572
  • 269 + 137303 = 137572

Showing the first eight; more decompositions exist.

Unicode codepoint
𡥤
CJK Unified Ideograph-21964
U+21964
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 A4 (4 bytes).

Hex color
#021964
RGB(2, 25, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.100.

Address
0.2.25.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.100

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 137,572 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 137572 first appears in π at position 778,862 of the decimal expansion (the 778,862ordinal-suffix:nd 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