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137,708

137,708 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.).

137,708 (one hundred thirty-seven thousand seven hundred eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 173 × 199. Written other ways, in hexadecimal, 0x219EC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
807,731
Recamán's sequence
a(493,411) = 137,708
Square (n²)
18,963,493,264
Cube (n³)
2,611,424,730,398,912
Divisor count
12
σ(n) — sum of divisors
243,600
φ(n) — Euler's totient
68,112
Sum of prime factors
376

Primality

Prime factorization: 2 2 × 173 × 199

Nearest primes: 137,707 (−1) · 137,713 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 173 · 199 · 346 · 398 · 692 · 796 · 34427 · 68854 (half) · 137708
Aliquot sum (sum of proper divisors): 105,892
Factor pairs (a × b = 137,708)
1 × 137708
2 × 68854
4 × 34427
173 × 796
199 × 692
346 × 398
First multiples
137,708 · 275,416 (double) · 413,124 · 550,832 · 688,540 · 826,248 · 963,956 · 1,101,664 · 1,239,372 · 1,377,080

Sums & aliquot sequence

As consecutive integers: 17,210 + 17,211 + … + 17,217 710 + 711 + … + 882 593 + 594 + … + 791
Aliquot sequence: 137,708 105,892 87,644 65,740 80,420 88,504 103,016 93,784 91,616 115,024 162,736 197,856 381,744 788,568 1,457,832 2,574,168 3,901,032 — unresolved within range

Continued fraction of √n

√137,708 = [371; (11, 13, 6, 6, 4, 3, 1, 1, 4, 1, 8, 8, 4, 2, 3, 13, 1, 56, 6, 4, 1, 1, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred eight
Ordinal
137708th
Binary
100001100111101100
Octal
414754
Hexadecimal
0x219EC
Base64
Ahns
One's complement
4,294,829,587 (32-bit)
Scientific notation
1.37708 × 10⁵
As a duration
137,708 s = 1 day, 14 hours, 15 minutes, 8 seconds
In other bases
ternary (3) 20222220022
quaternary (4) 201213230
quinary (5) 13401313
senary (6) 2541312
septenary (7) 1112324
nonary (9) 228808
undecimal (11) 9450a
duodecimal (12) 67838
tridecimal (13) 4a8ac
tetradecimal (14) 38284
pentadecimal (15) 2ac08

As an angle

137,708° = 382 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψηʹ
Mayan (base 20)
𝋱·𝋤·𝋥·𝋨
Chinese
一十三萬七千七百零八
Chinese (financial)
壹拾參萬柒仟柒佰零捌
In other modern scripts
Eastern Arabic ١٣٧٧٠٨ Devanagari १३७७०८ Bengali ১৩৭৭০৮ Tamil ௧௩௭௭௦௮ Thai ๑๓๗๗๐๘ Tibetan ༡༣༧༧༠༨ Khmer ១៣៧៧០៨ Lao ໑໓໗໗໐໘ Burmese ၁၃၇၇၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137708, here are decompositions:

  • 271 + 137437 = 137708
  • 349 + 137359 = 137708
  • 367 + 137341 = 137708
  • 457 + 137251 = 137708
  • 499 + 137209 = 137708
  • 577 + 137131 = 137708
  • 619 + 137089 = 137708
  • 631 + 137077 = 137708

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧬
CJK Unified Ideograph-219Ec
U+219EC
Other letter (Lo)

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

Hex color
#0219EC
RGB(2, 25, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.236.

Address
0.2.25.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.236

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 137,708 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 137708 first appears in π at position 750,145 of the decimal expansion (the 750,145ordinal-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.