λ
Prime Ledger

8,445,645

32 × 5 × 13 × 14437
Deficient Odd Composite

8,445,645 has the prime decomposition 3^2 × 5 × 13 × 14437. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 14437
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,766,296
Proper Divisor Sum 7,320,651
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8445643 ← → #8445649

Radix Representation

Decimal 8445645
Binary 100000001101111011001101 (24 bits)
Octal 0o40157315
Hexadecimal 0x80DECD

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 14,437 43,311 72,185 129,933 187,681 216,555 563,043 649,665 938,405 1,689,129 2,815,215 8,445,645

Collatz Trajectory (106 steps to reach 1)

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

8,445,645 25,336,936 12,668,468 6,334,234 3,167,117 9,501,352 4,750,676 2,375,338 1,187,669 3,563,008 1,781,504 890,752 445,376 222,688 111,344 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489

More profiles

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