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137,996

137,996 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.).

137,996 (one hundred thirty-seven thousand nine hundred ninety-six) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,499. Written other ways, in hexadecimal, 0x21B0C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
10,206
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
699,731
Recamán's sequence
a(492,835) = 137,996
Square (n²)
19,042,896,016
Cube (n³)
2,627,843,478,623,936
Divisor count
6
σ(n) — sum of divisors
241,500
φ(n) — Euler's totient
68,996
Sum of prime factors
34,503

Primality

Prime factorization: 2 2 × 34499

Nearest primes: 137,993 (−3) · 137,999 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34499 · 68998 (half) · 137996
Aliquot sum (sum of proper divisors): 103,504
Factor pairs (a × b = 137,996)
1 × 137996
2 × 68998
4 × 34499
First multiples
137,996 · 275,992 (double) · 413,988 · 551,984 · 689,980 · 827,976 · 965,972 · 1,103,968 · 1,241,964 · 1,379,960

Sums & aliquot sequence

As consecutive integers: 17,246 + 17,247 + … + 17,253
Aliquot sequence: 137,996 103,504 97,066 48,536 42,484 43,756 32,824 34,496 52,372 39,286 24,218 12,112 11,386 5,696 5,734 3,194 1,600 — unresolved within range

Continued fraction of √n

√137,996 = [371; (2, 10, 1, 13, 2, 1, 2, 36, 1, 3, 2, 2, 1, 2, 1, 10, 1, 2, 3, 29, 2, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-six
Ordinal
137996th
Binary
100001101100001100
Octal
415414
Hexadecimal
0x21B0C
Base64
AhsM
One's complement
4,294,829,299 (32-bit)
Scientific notation
1.37996 × 10⁵
As a duration
137,996 s = 1 day, 14 hours, 19 minutes, 56 seconds
In other bases
ternary (3) 21000021222
quaternary (4) 201230030
quinary (5) 13403441
senary (6) 2542512
septenary (7) 1113215
nonary (9) 230258
undecimal (11) 94751
duodecimal (12) 67a38
tridecimal (13) 4aa71
tetradecimal (14) 3840c
pentadecimal (15) 2ad4b

As an angle

137,996° = 383 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡϟϛʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋰
Chinese
一十三萬七千九百九十六
Chinese (financial)
壹拾參萬柒仟玖佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٧٩٩٦ Devanagari १३७९९६ Bengali ১৩৭৯৯৬ Tamil ௧௩௭௯௯௬ Thai ๑๓๗๙๙๖ Tibetan ༡༣༧༩༩༦ Khmer ១៣៧៩៩៦ Lao ໑໓໗໙໙໖ Burmese ၁၃၇၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137996, here are decompositions:

  • 3 + 137993 = 137996
  • 13 + 137983 = 137996
  • 127 + 137869 = 137996
  • 193 + 137803 = 137996
  • 283 + 137713 = 137996
  • 337 + 137659 = 137996
  • 373 + 137623 = 137996
  • 409 + 137587 = 137996

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬌
CJK Unified Ideograph-21B0C
U+21B0C
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 8C (4 bytes).

Hex color
#021B0C
RGB(2, 27, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.12.

Address
0.2.27.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.12

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 137,996 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 137996 first appears in π at position 299,276 of the decimal expansion (the 299,276ordinal-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.