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137,501

137,501 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.).

137,501 (one hundred thirty-seven thousand five hundred one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 7 × 13 × 1,511. Written other ways, in hexadecimal, 0x2191D.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
105,731
Square (n²)
18,906,525,001
Cube (n³)
2,599,666,094,162,501
Divisor count
8
σ(n) — sum of divisors
169,344
φ(n) — Euler's totient
108,720
Sum of prime factors
1,531

Primality

Prime factorization: 7 × 13 × 1511

Nearest primes: 137,491 (−10) · 137,507 (+6)

Divisors & multiples

All divisors (8)
1 · 7 · 13 · 91 · 1511 · 10577 · 19643 · 137501
Aliquot sum (sum of proper divisors): 31,843
Factor pairs (a × b = 137,501)
1 × 137501
7 × 19643
13 × 10577
91 × 1511
First multiples
137,501 · 275,002 (double) · 412,503 · 550,004 · 687,505 · 825,006 · 962,507 · 1,100,008 · 1,237,509 · 1,375,010

Sums & aliquot sequence

As consecutive integers: 68,750 + 68,751 19,640 + 19,641 + … + 19,646 10,571 + 10,572 + … + 10,583 9,815 + 9,816 + … + 9,828
Aliquot sequence: 137,501 31,843 4,557 2,739 1,293 435 285 195 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√137,501 = [370; (1, 4, 3, 2, 1, 6, 1, 2, 1, 1, 4, 1, 3, 5, 3, 5, 1, 1, 9, 11, 3, 3, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred one
Ordinal
137501st
Binary
100001100100011101
Octal
414435
Hexadecimal
0x2191D
Base64
Ahkd
One's complement
4,294,829,794 (32-bit)
Scientific notation
1.37501 × 10⁵
As a duration
137,501 s = 1 day, 14 hours, 11 minutes, 41 seconds
In other bases
ternary (3) 20222121122
quaternary (4) 201210131
quinary (5) 13400001
senary (6) 2540325
septenary (7) 1111610
nonary (9) 228548
undecimal (11) 94341
duodecimal (12) 676a5
tridecimal (13) 4a780
tetradecimal (14) 38177
pentadecimal (15) 2ab1b

As an angle

137,501° = 381 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλζφαʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋡
Chinese
一十三萬七千五百零一
Chinese (financial)
壹拾參萬柒仟伍佰零壹
In other modern scripts
Eastern Arabic ١٣٧٥٠١ Devanagari १३७५०१ Bengali ১৩৭৫০১ Tamil ௧௩௭௫௦௧ Thai ๑๓๗๕๐๑ Tibetan ༡༣༧༥༠༡ Khmer ១៣៧៥០១ Lao ໑໓໗໕໐໑ Burmese ၁၃၇၅၀၁

Also seen as

Unicode codepoint
𡤝
CJK Unified Ideograph-2191D
U+2191D
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 9D (4 bytes).

Hex color
#02191D
RGB(2, 25, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.29.

Address
0.2.25.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.29

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 137,501 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 137501 first appears in π at position 70,370 of the decimal expansion (the 70,370ordinal-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.