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100,997

100,997 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.).
Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Sphenic Number Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
799,001
Square (n²)
10,200,394,009
Cube (n³)
1,030,209,193,726,973
Divisor count
8
σ(n) — sum of divisors
115,416
φ(n) — Euler's totient
87,552
Sum of prime factors
487

Primality

Prime factorization: 13 × 17 × 457

Nearest primes: 100,987 (−10) · 100,999 (+2)

Divisors & multiples

All divisors (8)
1 · 13 · 17 · 221 · 457 · 5941 · 7769 · 100997
Aliquot sum (sum of proper divisors): 14,419
Factor pairs (a × b = 100,997)
1 × 100997
13 × 7769
17 × 5941
221 × 457
First multiples
100,997 · 201,994 (double) · 302,991 · 403,988 · 504,985 · 605,982 · 706,979 · 807,976 · 908,973 · 1,009,970

Sums & aliquot sequence

As a sum of two squares: 49² + 314² = 161² + 274² = 166² + 271² = 191² + 254²
As consecutive integers: 50,498 + 50,499 7,763 + 7,764 + … + 7,775 5,933 + 5,934 + … + 5,949 3,872 + 3,873 + … + 3,897
Aliquot sequence: 100,997 14,419 1 0 — terminates at zero

Continued fraction of √n

√100,997 = [317; (1, 4, 158, 1, 2, 2, 1, 158, 4, 1, 634)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred ninety-seven
Ordinal
100997th
Binary
11000101010000101
Octal
305205
Hexadecimal
0x18A85
Base64
AYqF
One's complement
4,294,866,298 (32-bit)
Scientific notation
1.00997 × 10⁵
In other bases
ternary (3) 12010112122
quaternary (4) 120222011
quinary (5) 11212442
senary (6) 2055325
septenary (7) 600311
nonary (9) 163478
undecimal (11) 69976
duodecimal (12) 4a545
tridecimal (13) 36c80
tetradecimal (14) 28b41
pentadecimal (15) 1edd2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϡϟζʹ
Mayan (base 20)
𝋬·𝋬·𝋩·𝋱
Chinese
一十萬零九百九十七
Chinese (financial)
壹拾萬零玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٠٠٩٩٧ Devanagari १००९९७ Bengali ১০০৯৯৭ Tamil ௧௦௦௯௯௭ Thai ๑๐๐๙๙๗ Tibetan ༡༠༠༩༩༧ Khmer ១០០៩៩៧ Lao ໑໐໐໙໙໗ Burmese ၁၀၀၉၉၇

Also seen as

Unicode codepoint
𘪅
Tangut Component-646
U+18A85
Other letter (Lo)

UTF-8 encoding: F0 98 AA 85 (4 bytes).

Hex color
#018A85
RGB(1, 138, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.133.

Address
0.1.138.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.133

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 100,997 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000100997
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 100997 first appears in π at position 846,511 of the decimal expansion (the 846,511ordinal-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.