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137,704

137,704 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.).

137,704 (one hundred thirty-seven thousand seven hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,459. Its proper divisors sum to 157,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
407,731
Recamán's sequence
a(493,419) = 137,704
Square (n²)
18,962,391,616
Cube (n³)
2,611,197,175,089,664
Divisor count
16
σ(n) — sum of divisors
295,200
φ(n) — Euler's totient
58,992
Sum of prime factors
2,472

Primality

Prime factorization: 2 3 × 7 × 2459

Nearest primes: 137,699 (−5) · 137,707 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2459 · 4918 · 9836 · 17213 · 19672 · 34426 · 68852 (half) · 137704
Aliquot sum (sum of proper divisors): 157,496
Factor pairs (a × b = 137,704)
1 × 137704
2 × 68852
4 × 34426
7 × 19672
8 × 17213
14 × 9836
28 × 4918
56 × 2459
First multiples
137,704 · 275,408 (double) · 413,112 · 550,816 · 688,520 · 826,224 · 963,928 · 1,101,632 · 1,239,336 · 1,377,040

Sums & aliquot sequence

As consecutive integers: 19,669 + 19,670 + … + 19,675 8,599 + 8,600 + … + 8,614 1,174 + 1,175 + … + 1,285
Aliquot sequence: 137,704 157,496 137,824 141,896 124,174 66,194 37,486 18,746 16,198 14,042 11,878 5,942 2,974 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√137,704 = [371; (11, 1, 3, 1, 1, 8, 1, 1, 1, 1, 6, 12, 4, 1, 1, 2, 2, 2, 1, 7, 2, 1, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred four
Ordinal
137704th
Binary
100001100111101000
Octal
414750
Hexadecimal
0x219E8
Base64
Ahno
One's complement
4,294,829,591 (32-bit)
Scientific notation
1.37704 × 10⁵
As a duration
137,704 s = 1 day, 14 hours, 15 minutes, 4 seconds
In other bases
ternary (3) 20222220011
quaternary (4) 201213220
quinary (5) 13401304
senary (6) 2541304
septenary (7) 1112320
nonary (9) 228804
undecimal (11) 94506
duodecimal (12) 67834
tridecimal (13) 4a8a8
tetradecimal (14) 38280
pentadecimal (15) 2ac04

As an angle

137,704° = 382 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψδʹ
Mayan (base 20)
𝋱·𝋤·𝋥·𝋤
Chinese
一十三萬七千七百零四
Chinese (financial)
壹拾參萬柒仟柒佰零肆
In other modern scripts
Eastern Arabic ١٣٧٧٠٤ Devanagari १३७७०४ Bengali ১৩৭৭০৪ Tamil ௧௩௭௭௦௪ Thai ๑๓๗๗๐๔ Tibetan ༡༣༧༧༠༤ Khmer ១៣៧៧០៤ Lao ໑໓໗໗໐໔ Burmese ၁၃၇၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137704, here are decompositions:

  • 5 + 137699 = 137704
  • 71 + 137633 = 137704
  • 107 + 137597 = 137704
  • 131 + 137573 = 137704
  • 137 + 137567 = 137704
  • 167 + 137537 = 137704
  • 197 + 137507 = 137704
  • 227 + 137477 = 137704

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧨
CJK Unified Ideograph-219E8
U+219E8
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 A8 (4 bytes).

Hex color
#0219E8
RGB(2, 25, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.232.

Address
0.2.25.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.232

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 137,704 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 137704 first appears in π at position 414,796 of the decimal expansion (the 414,796ordinal-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