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137,740

137,740 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.).

137,740 (one hundred thirty-seven thousand seven hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 71 × 97. Its proper divisors sum to 158,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A0C.

Abundant Number Arithmetic Number Cube-Free 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
47,731
Recamán's sequence
a(493,347) = 137,740
Square (n²)
18,972,307,600
Cube (n³)
2,613,245,648,824,000
Divisor count
24
σ(n) — sum of divisors
296,352
φ(n) — Euler's totient
53,760
Sum of prime factors
177

Primality

Prime factorization: 2 2 × 5 × 71 × 97

Nearest primes: 137,737 (−3) · 137,743 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 71 · 97 · 142 · 194 · 284 · 355 · 388 · 485 · 710 · 970 · 1420 · 1940 · 6887 · 13774 · 27548 · 34435 · 68870 (half) · 137740
Aliquot sum (sum of proper divisors): 158,612
Factor pairs (a × b = 137,740)
1 × 137740
2 × 68870
4 × 34435
5 × 27548
10 × 13774
20 × 6887
71 × 1940
97 × 1420
142 × 970
194 × 710
284 × 485
355 × 388
First multiples
137,740 · 275,480 (double) · 413,220 · 550,960 · 688,700 · 826,440 · 964,180 · 1,101,920 · 1,239,660 · 1,377,400

Sums & aliquot sequence

As consecutive integers: 27,546 + 27,547 + 27,548 + 27,549 + 27,550 17,214 + 17,215 + … + 17,221 3,424 + 3,425 + … + 3,463 1,905 + 1,906 + … + 1,975
Aliquot sequence: 137,740 158,612 133,708 100,288 98,848 95,822 47,914 23,960 30,040 37,640 47,140 51,896 53,104 49,816 50,984 44,626 23,738 — unresolved within range

Continued fraction of √n

√137,740 = [371; (7, 2, 67, 82, 2, 5, 1, 1, 1, 3, 7, 4, 2, 8, 1, 2, 1, 1, 5, 2, 2, 2, 1, 5, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred forty
Ordinal
137740th
Binary
100001101000001100
Octal
415014
Hexadecimal
0x21A0C
Base64
AhoM
One's complement
4,294,829,555 (32-bit)
Scientific notation
1.3774 × 10⁵
As a duration
137,740 s = 1 day, 14 hours, 15 minutes, 40 seconds
In other bases
ternary (3) 20222221111
quaternary (4) 201220030
quinary (5) 13401430
senary (6) 2541404
septenary (7) 1112401
nonary (9) 228844
undecimal (11) 94539
duodecimal (12) 67864
tridecimal (13) 4a905
tetradecimal (14) 382a8
pentadecimal (15) 2ac2a

As an angle

137,740° = 382 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζψμʹ
Mayan (base 20)
𝋱·𝋤·𝋧·𝋠
Chinese
一十三萬七千七百四十
Chinese (financial)
壹拾參萬柒仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٣٧٧٤٠ Devanagari १३७७४० Bengali ১৩৭৭৪০ Tamil ௧௩௭௭௪௦ Thai ๑๓๗๗๔๐ Tibetan ༡༣༧༧༤༠ Khmer ១៣៧៧៤០ Lao ໑໓໗໗໔໐ Burmese ၁၃၇၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137740, here are decompositions:

  • 3 + 137737 = 137740
  • 17 + 137723 = 137740
  • 41 + 137699 = 137740
  • 101 + 137639 = 137740
  • 107 + 137633 = 137740
  • 167 + 137573 = 137740
  • 173 + 137567 = 137740
  • 233 + 137507 = 137740

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨌
CJK Unified Ideograph-21A0C
U+21A0C
Other letter (Lo)

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

Hex color
#021A0C
RGB(2, 26, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.12.

Address
0.2.26.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.12

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 137,740 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 137740 first appears in π at position 231,738 of the decimal expansion (the 231,738ordinal-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