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137,397

137,397 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.).

137,397 (one hundred thirty-seven thousand three hundred ninety-seven) is an odd 6-digit number. It is a composite number with 12 divisors, and factors as 3 × 13² × 271. Written other ways, in hexadecimal, 0x218B5.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
30
Digit product
3,969
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
793,731
Recamán's sequence
a(37,598) = 137,397
Square (n²)
18,877,935,609
Cube (n³)
2,593,771,718,869,773
Divisor count
12
σ(n) — sum of divisors
199,104
φ(n) — Euler's totient
84,240
Sum of prime factors
300

Primality

Prime factorization: 3 × 13 2 × 271

Nearest primes: 137,393 (−4) · 137,399 (+2)

Divisors & multiples

All divisors (12)
1 · 3 · 13 · 39 · 169 · 271 · 507 · 813 · 3523 · 10569 · 45799 · 137397
Aliquot sum (sum of proper divisors): 61,707
Factor pairs (a × b = 137,397)
1 × 137397
3 × 45799
13 × 10569
39 × 3523
169 × 813
271 × 507
First multiples
137,397 · 274,794 (double) · 412,191 · 549,588 · 686,985 · 824,382 · 961,779 · 1,099,176 · 1,236,573 · 1,373,970

Sums & aliquot sequence

As consecutive integers: 68,698 + 68,699 45,798 + 45,799 + 45,800 22,897 + 22,898 + 22,899 + 22,900 + 22,901 + 22,902 10,563 + 10,564 + … + 10,575
Aliquot sequence: 137,397 61,707 22,069 791 121 12 16 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√137,397 = [370; (1, 2, 25, 4, 2, 1, 7, 2, 1, 2, 1, 2, 1, 3, 1, 1, 1, 8, 1, 2, 1, 7, 1, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred ninety-seven
Ordinal
137397th
Binary
100001100010110101
Octal
414265
Hexadecimal
0x218B5
Base64
Ahi1
One's complement
4,294,829,898 (32-bit)
Scientific notation
1.37397 × 10⁵
As a duration
137,397 s = 1 day, 14 hours, 9 minutes, 57 seconds
In other bases
ternary (3) 20222110210
quaternary (4) 201202311
quinary (5) 13344042
senary (6) 2540033
septenary (7) 1111401
nonary (9) 228423
undecimal (11) 94257
duodecimal (12) 67619
tridecimal (13) 4a700
tetradecimal (14) 38101
pentadecimal (15) 2aa9c

As an angle

137,397° = 381 × 360° + 237°
237° ≈ 4.136 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτϟζʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋱
Chinese
一十三萬七千三百九十七
Chinese (financial)
壹拾參萬柒仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٧٣٩٧ Devanagari १३७३९७ Bengali ১৩৭৩৯৭ Tamil ௧௩௭௩௯௭ Thai ๑๓๗๓๙๗ Tibetan ༡༣༧༣༩༧ Khmer ១៣៧៣៩៧ Lao ໑໓໗໓໙໗ Burmese ၁၃၇၃၉၇

Also seen as

Unicode codepoint
𡢵
CJK Unified Ideograph-218B5
U+218B5
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 B5 (4 bytes).

Hex color
#0218B5
RGB(2, 24, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.181.

Address
0.2.24.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.181

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 137,397 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 137397 first appears in π at position 399,432 of the decimal expansion (the 399,432ordinal-suffix:nd 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°.