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137,657

137,657 is a composite number, odd.

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.).

137,657 (one hundred thirty-seven thousand six hundred fifty-seven) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 13 × 10,589. Written other ways, in hexadecimal, 0x219B9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
4,410
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
756,731
Recamán's sequence
a(493,513) = 137,657
Square (n²)
18,949,449,649
Cube (n³)
2,608,524,390,332,393
Divisor count
4
σ(n) — sum of divisors
148,260
φ(n) — Euler's totient
127,056
Sum of prime factors
10,602

Primality

Prime factorization: 13 × 10589

Nearest primes: 137,653 (−4) · 137,659 (+2)

Divisors & multiples

All divisors (4)
1 · 13 · 10589 · 137657
Aliquot sum (sum of proper divisors): 10,603
Factor pairs (a × b = 137,657)
1 × 137657
13 × 10589
First multiples
137,657 · 275,314 (double) · 412,971 · 550,628 · 688,285 · 825,942 · 963,599 · 1,101,256 · 1,238,913 · 1,376,570

Sums & aliquot sequence

As a sum of two squares: 4² + 371² = 139² + 344²
As consecutive integers: 68,828 + 68,829 10,583 + 10,584 + … + 10,595 5,282 + 5,283 + … + 5,307
Aliquot sequence: 137,657 10,603 485 103 1 0 — terminates at zero

Continued fraction of √n

√137,657 = [371; (46, 2, 1, 1, 1, 10, 1, 31, 2, 1, 6, 1, 1, 6, 1, 4, 3, 9, 3, 12, 1, 13, 13, 5, …)]

Representations

In words
one hundred thirty-seven thousand six hundred fifty-seven
Ordinal
137657th
Binary
100001100110111001
Octal
414671
Hexadecimal
0x219B9
Base64
Ahm5
One's complement
4,294,829,638 (32-bit)
Scientific notation
1.37657 × 10⁵
As a duration
137,657 s = 1 day, 14 hours, 14 minutes, 17 seconds
In other bases
ternary (3) 20222211102
quaternary (4) 201212321
quinary (5) 13401112
senary (6) 2541145
septenary (7) 1112222
nonary (9) 228742
undecimal (11) 94473
duodecimal (12) 677b5
tridecimal (13) 4a870
tetradecimal (14) 38249
pentadecimal (15) 2abc2

As an angle

137,657° = 382 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχνζʹ
Mayan (base 20)
𝋱·𝋤·𝋢·𝋱
Chinese
一十三萬七千六百五十七
Chinese (financial)
壹拾參萬柒仟陸佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٧٦٥٧ Devanagari १३७६५७ Bengali ১৩৭৬৫৭ Tamil ௧௩௭௬௫௭ Thai ๑๓๗๖๕๗ Tibetan ༡༣༧༦༥༧ Khmer ១៣៧៦៥៧ Lao ໑໓໗໖໕໗ Burmese ၁၃၇၆၅၇

Also seen as

Unicode codepoint
𡦹
CJK Unified Ideograph-219B9
U+219B9
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 B9 (4 bytes).

Hex color
#0219B9
RGB(2, 25, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.185.

Address
0.2.25.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.185

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 137,657 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.