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137,696

137,696 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.).

137,696 (one hundred thirty-seven thousand six hundred ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 331. Its proper divisors sum to 155,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219E0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
6,804
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
696,731
Recamán's sequence
a(493,435) = 137,696
Square (n²)
18,960,188,416
Cube (n³)
2,610,742,104,129,536
Divisor count
24
σ(n) — sum of divisors
292,824
φ(n) — Euler's totient
63,360
Sum of prime factors
354

Primality

Prime factorization: 2 5 × 13 × 331

Nearest primes: 137,659 (−37) · 137,699 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 331 · 416 · 662 · 1324 · 2648 · 4303 · 5296 · 8606 · 10592 · 17212 · 34424 · 68848 (half) · 137696
Aliquot sum (sum of proper divisors): 155,128
Factor pairs (a × b = 137,696)
1 × 137696
2 × 68848
4 × 34424
8 × 17212
13 × 10592
16 × 8606
26 × 5296
32 × 4303
52 × 2648
104 × 1324
208 × 662
331 × 416
First multiples
137,696 · 275,392 (double) · 413,088 · 550,784 · 688,480 · 826,176 · 963,872 · 1,101,568 · 1,239,264 · 1,376,960

Sums & aliquot sequence

As consecutive integers: 10,586 + 10,587 + … + 10,598 2,120 + 2,121 + … + 2,183 251 + 252 + … + 581
Aliquot sequence: 137,696 155,128 135,752 123,448 126,032 118,186 59,096 54,304 52,670 46,690 56,990 48,850 42,104 41,296 42,404 31,810 25,466 — unresolved within range

Continued fraction of √n

√137,696 = [371; (13, 2, 31, 1, 3, 1, 2, 43, 3, 2, 1, 5, 1, 6, 1, 1, 3, 29, 2, 2, 13, 10, 1, 5, …)]

Representations

In words
one hundred thirty-seven thousand six hundred ninety-six
Ordinal
137696th
Binary
100001100111100000
Octal
414740
Hexadecimal
0x219E0
Base64
Ahng
One's complement
4,294,829,599 (32-bit)
Scientific notation
1.37696 × 10⁵
As a duration
137,696 s = 1 day, 14 hours, 14 minutes, 56 seconds
In other bases
ternary (3) 20222212212
quaternary (4) 201213200
quinary (5) 13401241
senary (6) 2541252
septenary (7) 1112306
nonary (9) 228785
undecimal (11) 944a9
duodecimal (12) 67828
tridecimal (13) 4a8a0
tetradecimal (14) 38276
pentadecimal (15) 2abeb

As an angle

137,696° = 382 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχϟϛʹ
Mayan (base 20)
𝋱·𝋤·𝋤·𝋰
Chinese
一十三萬七千六百九十六
Chinese (financial)
壹拾參萬柒仟陸佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٧٦٩٦ Devanagari १३७६९६ Bengali ১৩৭৬৯৬ Tamil ௧௩௭௬௯௬ Thai ๑๓๗๖๙๖ Tibetan ༡༣༧༦༩༦ Khmer ១៣៧៦៩៦ Lao ໑໓໗໖໙໖ Burmese ၁၃၇၆၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137696, here are decompositions:

  • 37 + 137659 = 137696
  • 43 + 137653 = 137696
  • 73 + 137623 = 137696
  • 103 + 137593 = 137696
  • 109 + 137587 = 137696
  • 283 + 137413 = 137696
  • 313 + 137383 = 137696
  • 337 + 137359 = 137696

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧠
CJK Unified Ideograph-219E0
U+219E0
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 A0 (4 bytes).

Hex color
#0219E0
RGB(2, 25, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.224.

Address
0.2.25.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.224

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 137,696 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 137696 first appears in π at position 383,564 of the decimal expansion (the 383,564ordinal-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.