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137,906

137,906 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.).

137,906 (one hundred thirty-seven thousand nine hundred six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 53 × 1,301. Written other ways, in hexadecimal, 0x21AB2.

Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
609,731
Recamán's sequence
a(493,015) = 137,906
Square (n²)
19,018,064,836
Cube (n³)
2,622,705,249,273,416
Divisor count
8
σ(n) — sum of divisors
210,924
φ(n) — Euler's totient
67,600
Sum of prime factors
1,356

Primality

Prime factorization: 2 × 53 × 1301

Nearest primes: 137,873 (−33) · 137,909 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 53 · 106 · 1301 · 2602 · 68953 (half) · 137906
Aliquot sum (sum of proper divisors): 73,018
Factor pairs (a × b = 137,906)
1 × 137906
2 × 68953
53 × 2602
106 × 1301
First multiples
137,906 · 275,812 (double) · 413,718 · 551,624 · 689,530 · 827,436 · 965,342 · 1,103,248 · 1,241,154 · 1,379,060

Sums & aliquot sequence

As a sum of two squares: 95² + 359² = 109² + 355²
As consecutive integers: 34,475 + 34,476 + 34,477 + 34,478 2,576 + 2,577 + … + 2,628 545 + 546 + … + 756
Aliquot sequence: 137,906 73,018 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 1,034 694 350 394 200 265 59 — unresolved within range

Continued fraction of √n

√137,906 = [371; (2, 1, 4, 29, 2, 43, 5, 15, 1, 1, 1, 1, 11, 2, 1, 1, 1, 8, 2, 3, 7, 1, 1, 7, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred six
Ordinal
137906th
Binary
100001101010110010
Octal
415262
Hexadecimal
0x21AB2
Base64
Ahqy
One's complement
4,294,829,389 (32-bit)
Scientific notation
1.37906 × 10⁵
As a duration
137,906 s = 1 day, 14 hours, 18 minutes, 26 seconds
In other bases
ternary (3) 21000011122
quaternary (4) 201222302
quinary (5) 13403111
senary (6) 2542242
septenary (7) 1113026
nonary (9) 230148
undecimal (11) 9467a
duodecimal (12) 67982
tridecimal (13) 4aa02
tetradecimal (14) 38386
pentadecimal (15) 2acdb

As an angle

137,906° = 383 × 360° + 26°
26° ≈ 0.454 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡϛʹ
Mayan (base 20)
𝋱·𝋤·𝋯·𝋦
Chinese
一十三萬七千九百零六
Chinese (financial)
壹拾參萬柒仟玖佰零陸
In other modern scripts
Eastern Arabic ١٣٧٩٠٦ Devanagari १३७९०६ Bengali ১৩৭৯০৬ Tamil ௧௩௭௯௦௬ Thai ๑๓๗๙๐๖ Tibetan ༡༣༧༩༠༦ Khmer ១៣៧៩០៦ Lao ໑໓໗໙໐໖ Burmese ၁၃၇၉၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137906, here are decompositions:

  • 37 + 137869 = 137906
  • 79 + 137827 = 137906
  • 103 + 137803 = 137906
  • 163 + 137743 = 137906
  • 193 + 137713 = 137906
  • 199 + 137707 = 137906
  • 283 + 137623 = 137906
  • 313 + 137593 = 137906

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪲
CJK Unified Ideograph-21Ab2
U+21AB2
Other letter (Lo)

UTF-8 encoding: F0 A1 AA B2 (4 bytes).

Hex color
#021AB2
RGB(2, 26, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.178.

Address
0.2.26.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.178

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 137,906 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 137906 first appears in π at position 634,464 of the decimal expansion (the 634,464ordinal-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.