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137,972

137,972 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.).

137,972 (one hundred thirty-seven thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 2,029. Written other ways, in hexadecimal, 0x21AF4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
279,731
Recamán's sequence
a(492,883) = 137,972
Square (n²)
19,036,272,784
Cube (n³)
2,626,472,628,554,048
Divisor count
12
σ(n) — sum of divisors
255,780
φ(n) — Euler's totient
64,896
Sum of prime factors
2,050

Primality

Prime factorization: 2 2 × 17 × 2029

Nearest primes: 137,957 (−15) · 137,983 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 2029 · 4058 · 8116 · 34493 · 68986 (half) · 137972
Aliquot sum (sum of proper divisors): 117,808
Factor pairs (a × b = 137,972)
1 × 137972
2 × 68986
4 × 34493
17 × 8116
34 × 4058
68 × 2029
First multiples
137,972 · 275,944 (double) · 413,916 · 551,888 · 689,860 · 827,832 · 965,804 · 1,103,776 · 1,241,748 · 1,379,720

Sums & aliquot sequence

As a sum of two squares: 74² + 364² = 106² + 356²
As consecutive integers: 17,243 + 17,244 + … + 17,250 8,108 + 8,109 + … + 8,124 947 + 948 + … + 1,082
Aliquot sequence: 137,972 117,808 117,792 217,998 311,922 456,846 527,298 573,438 610,818 743,934 743,946 956,598 1,086,282 1,349,658 1,608,570 2,656,782 3,159,522 — unresolved within range

Continued fraction of √n

√137,972 = [371; (2, 4, 8, 1, 2, 1, 2, 7, 1, 56, 3, 1, 3, 2, 1, 1, 45, 1, 5, 3, 1, 3, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred seventy-two
Ordinal
137972nd
Binary
100001101011110100
Octal
415364
Hexadecimal
0x21AF4
Base64
Ahr0
One's complement
4,294,829,323 (32-bit)
Scientific notation
1.37972 × 10⁵
As a duration
137,972 s = 1 day, 14 hours, 19 minutes, 32 seconds
In other bases
ternary (3) 21000021002
quaternary (4) 201223310
quinary (5) 13403342
senary (6) 2542432
septenary (7) 1113152
nonary (9) 230232
undecimal (11) 9472a
duodecimal (12) 67a18
tridecimal (13) 4aa53
tetradecimal (14) 383d2
pentadecimal (15) 2ad32

As an angle

137,972° = 383 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζϡοβʹ
Mayan (base 20)
𝋱·𝋤·𝋲·𝋬
Chinese
一十三萬七千九百七十二
Chinese (financial)
壹拾參萬柒仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٧٩٧٢ Devanagari १३७९७२ Bengali ১৩৭৯৭২ Tamil ௧௩௭௯௭௨ Thai ๑๓๗๙๗๒ Tibetan ༡༣༧༩༧༢ Khmer ១៣៧៩៧២ Lao ໑໓໗໙໗໒ Burmese ၁၃၇၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137972, here are decompositions:

  • 31 + 137941 = 137972
  • 61 + 137911 = 137972
  • 103 + 137869 = 137972
  • 181 + 137791 = 137972
  • 229 + 137743 = 137972
  • 313 + 137659 = 137972
  • 349 + 137623 = 137972
  • 379 + 137593 = 137972

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫴
CJK Unified Ideograph-21Af4
U+21AF4
Other letter (Lo)

UTF-8 encoding: F0 A1 AB B4 (4 bytes).

Hex color
#021AF4
RGB(2, 26, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.244.

Address
0.2.26.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.244

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 137,972 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 137972 first appears in π at position 765,893 of the decimal expansion (the 765,893ordinal-suffix:rd 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.