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137,997

137,997 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.).

137,997 (one hundred thirty-seven thousand nine hundred ninety-seven) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3³ × 19 × 269. Written other ways, in hexadecimal, 0x21B0D.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Smith Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
36
Digit product
11,907
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
799,731
Recamán's sequence
a(492,833) = 137,997
Square (n²)
19,043,172,009
Cube (n³)
2,627,900,607,725,973
Divisor count
16
σ(n) — sum of divisors
216,000
φ(n) — Euler's totient
86,832
Sum of prime factors
297

Primality

Prime factorization: 3 3 × 19 × 269

Nearest primes: 137,993 (−4) · 137,999 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 9 · 19 · 27 · 57 · 171 · 269 · 513 · 807 · 2421 · 5111 · 7263 · 15333 · 45999 · 137997
Aliquot sum (sum of proper divisors): 78,003
Factor pairs (a × b = 137,997)
1 × 137997
3 × 45999
9 × 15333
19 × 7263
27 × 5111
57 × 2421
171 × 807
269 × 513
First multiples
137,997 · 275,994 (double) · 413,991 · 551,988 · 689,985 · 827,982 · 965,979 · 1,103,976 · 1,241,973 · 1,379,970

Sums & aliquot sequence

As consecutive integers: 68,998 + 68,999 45,998 + 45,999 + 46,000 22,997 + 22,998 + 22,999 + 23,000 + 23,001 + 23,002 15,329 + 15,330 + … + 15,337
Aliquot sequence: 137,997 78,003 40,041 19,319 1 0 — terminates at zero

Continued fraction of √n

√137,997 = [371; (2, 11, 1, 2, 8, 185, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 185, 8, 2, 1, 11, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-seven
Ordinal
137997th
Binary
100001101100001101
Octal
415415
Hexadecimal
0x21B0D
Base64
AhsN
One's complement
4,294,829,298 (32-bit)
Scientific notation
1.37997 × 10⁵
As a duration
137,997 s = 1 day, 14 hours, 19 minutes, 57 seconds
In other bases
ternary (3) 21000022000
quaternary (4) 201230031
quinary (5) 13403442
senary (6) 2542513
septenary (7) 1113216
nonary (9) 230260
undecimal (11) 94752
duodecimal (12) 67a39
tridecimal (13) 4aa72
tetradecimal (14) 3840d
pentadecimal (15) 2ad4c

As an angle

137,997° = 383 × 360° + 117°
117° ≈ 2.042 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡϟζʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋱
Chinese
一十三萬七千九百九十七
Chinese (financial)
壹拾參萬柒仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٧٩٩٧ Devanagari १३७९९७ Bengali ১৩৭৯৯৭ Tamil ௧௩௭௯௯௭ Thai ๑๓๗๙๙๗ Tibetan ༡༣༧༩༩༧ Khmer ១៣៧៩៩៧ Lao ໑໓໗໙໙໗ Burmese ၁၃၇၉၉၇

Also seen as

Unicode codepoint
𡬍
CJK Unified Ideograph-21B0D
U+21B0D
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 8D (4 bytes).

Hex color
#021B0D
RGB(2, 27, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.13.

Address
0.2.27.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.13

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 137,997 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 137997 first appears in π at position 212,978 of the decimal expansion (the 212,978ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.