λ
Prime Ledger

1,308,564

22 × 32 × 163 × 223
Abundant Even Composite

1,308,564 has the prime decomposition 2^2 × 3^2 × 163 × 223. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 163 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,342,976
Proper Divisor Sum 2,034,412
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1308563 ← → #1308581

Radix Representation

Decimal 1308564
Binary 100111111011110010100 (21 bits)
Octal 0o4773624
Hexadecimal 0x13F794

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 163 223 326 446 489 652 669 892 978 1,338 1,467 1,956 2,007 2,676 2,934 4,014 5,868 8,028 36,349 72,698 109,047 145,396 218,094 327,141 436,188 654,282 1,308,564

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,308,564 654,282 327,141 981,424 490,712 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823

More profiles

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