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137,924

137,924 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.).

137,924 (one hundred thirty-seven thousand nine hundred twenty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 29² × 41. Written other ways, in hexadecimal, 0x21AC4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,512
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
429,731
Recamán's sequence
a(492,979) = 137,924
Square (n²)
19,023,029,776
Cube (n³)
2,623,732,358,825,024
Divisor count
18
σ(n) — sum of divisors
256,074
φ(n) — Euler's totient
64,960
Sum of prime factors
103

Primality

Prime factorization: 2 2 × 29 2 × 41

Nearest primes: 137,911 (−13) · 137,927 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 29 · 41 · 58 · 82 · 116 · 164 · 841 · 1189 · 1682 · 2378 · 3364 · 4756 · 34481 · 68962 (half) · 137924
Aliquot sum (sum of proper divisors): 118,150
Factor pairs (a × b = 137,924)
1 × 137924
2 × 68962
4 × 34481
29 × 4756
41 × 3364
58 × 2378
82 × 1682
116 × 1189
164 × 841
First multiples
137,924 · 275,848 (double) · 413,772 · 551,696 · 689,620 · 827,544 · 965,468 · 1,103,392 · 1,241,316 · 1,379,240

Sums & aliquot sequence

As a sum of two squares: 32² + 370² = 50² + 368² = 232² + 290²
As consecutive integers: 17,237 + 17,238 + … + 17,244 4,742 + 4,743 + … + 4,770 3,344 + 3,345 + … + 3,384 479 + 480 + … + 710
Aliquot sequence: 137,924 118,150 116,210 92,986 53,894 26,950 36,662 20,794 11,354 8,134 6,230 6,730 5,402 3,034 1,754 880 1,352 — unresolved within range

Continued fraction of √n

√137,924 = [371; (2, 1, 1, 1, 1, 1, 8, 3, 31, 1, 36, 5, 1, 10, 1, 3, 2, 1, 1, 1, 4, 1, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred twenty-four
Ordinal
137924th
Binary
100001101011000100
Octal
415304
Hexadecimal
0x21AC4
Base64
AhrE
One's complement
4,294,829,371 (32-bit)
Scientific notation
1.37924 × 10⁵
As a duration
137,924 s = 1 day, 14 hours, 18 minutes, 44 seconds
In other bases
ternary (3) 21000012022
quaternary (4) 201223010
quinary (5) 13403144
senary (6) 2542312
septenary (7) 1113053
nonary (9) 230168
undecimal (11) 94696
duodecimal (12) 67998
tridecimal (13) 4aa17
tetradecimal (14) 3839a
pentadecimal (15) 2acee

As an angle

137,924° = 383 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡκδʹ
Mayan (base 20)
𝋱·𝋤·𝋰·𝋤
Chinese
一十三萬七千九百二十四
Chinese (financial)
壹拾參萬柒仟玖佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٧٩٢٤ Devanagari १३७९२४ Bengali ১৩৭৯২৪ Tamil ௧௩௭௯௨௪ Thai ๑๓๗๙๒๔ Tibetan ༡༣༧༩༢༤ Khmer ១៣៧៩២៤ Lao ໑໓໗໙໒໔ Burmese ၁၃၇၉၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137924, here are decompositions:

  • 13 + 137911 = 137924
  • 97 + 137827 = 137924
  • 181 + 137743 = 137924
  • 211 + 137713 = 137924
  • 271 + 137653 = 137924
  • 331 + 137593 = 137924
  • 337 + 137587 = 137924
  • 433 + 137491 = 137924

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫄
CJK Unified Ideograph-21Ac4
U+21AC4
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 84 (4 bytes).

Hex color
#021AC4
RGB(2, 26, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.196.

Address
0.2.26.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.196

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 137,924 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 137924 first appears in π at position 690,307 of the decimal expansion (the 690,307ordinal-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.