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137,792

137,792 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.).

137,792 (one hundred thirty-seven thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,153. Written other ways, in hexadecimal, 0x21A40.

Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
297,731
Recamán's sequence
a(493,243) = 137,792
Square (n²)
18,986,635,264
Cube (n³)
2,616,206,446,297,088
Divisor count
14
σ(n) — sum of divisors
273,558
φ(n) — Euler's totient
68,864
Sum of prime factors
2,165

Primality

Prime factorization: 2 6 × 2153

Nearest primes: 137,791 (−1) · 137,803 (+11)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2153 · 4306 · 8612 · 17224 · 34448 · 68896 (half) · 137792
Aliquot sum (sum of proper divisors): 135,766
Factor pairs (a × b = 137,792)
1 × 137792
2 × 68896
4 × 34448
8 × 17224
16 × 8612
32 × 4306
64 × 2153
First multiples
137,792 · 275,584 (double) · 413,376 · 551,168 · 688,960 · 826,752 · 964,544 · 1,102,336 · 1,240,128 · 1,377,920

Sums & aliquot sequence

As a sum of two squares: 224² + 296²
As consecutive integers: 1,013 + 1,014 + … + 1,140
Aliquot sequence: 137,792 135,766 67,886 57,778 41,294 26,314 14,006 7,594 3,800 5,500 7,604 5,710 4,586 2,296 2,744 3,256 3,584 — unresolved within range

Continued fraction of √n

√137,792 = [371; (4, 1, 10, 1, 4, 742)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred ninety-two
Ordinal
137792nd
Binary
100001101001000000
Octal
415100
Hexadecimal
0x21A40
Base64
AhpA
One's complement
4,294,829,503 (32-bit)
Scientific notation
1.37792 × 10⁵
As a duration
137,792 s = 1 day, 14 hours, 16 minutes, 32 seconds
In other bases
ternary (3) 21000000102
quaternary (4) 201221000
quinary (5) 13402132
senary (6) 2541532
septenary (7) 1112504
nonary (9) 230012
undecimal (11) 94586
duodecimal (12) 678a8
tridecimal (13) 4a945
tetradecimal (14) 38304
pentadecimal (15) 2ac62

As an angle

137,792° = 382 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζψϟβʹ
Mayan (base 20)
𝋱·𝋤·𝋩·𝋬
Chinese
一十三萬七千七百九十二
Chinese (financial)
壹拾參萬柒仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٧٧٩٢ Devanagari १३७७९२ Bengali ১৩৭৭৯২ Tamil ௧௩௭௭௯௨ Thai ๑๓๗๗๙๒ Tibetan ༡༣༧༧༩༢ Khmer ១៣៧៧៩២ Lao ໑໓໗໗໙໒ Burmese ၁၃၇၇၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137792, here are decompositions:

  • 79 + 137713 = 137792
  • 139 + 137653 = 137792
  • 199 + 137593 = 137792
  • 349 + 137443 = 137792
  • 379 + 137413 = 137792
  • 409 + 137383 = 137792
  • 433 + 137359 = 137792
  • 439 + 137353 = 137792

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩀
CJK Unified Ideograph-21A40
U+21A40
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 80 (4 bytes).

Hex color
#021A40
RGB(2, 26, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.64.

Address
0.2.26.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.64

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 137,792 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 137792 first appears in π at position 296,985 of the decimal expansion (the 296,985ordinal-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.