λ
Prime Ledger

8,634,464

25 × 47 × 5741
Abundant Even Composite

8,634,464 has the prime decomposition 2^5 × 47 × 5741. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 47 × 5741
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,363,808
Proper Divisor Sum 8,729,344
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8634449 ← → #8634467

Radix Representation

Decimal 8634464
Binary 100000111100000001100000 (24 bits)
Octal 0o40740140
Hexadecimal 0x83C060

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 5,741 11,482 22,964 45,928 91,856 183,712 269,827 539,654 1,079,308 2,158,616 4,317,232 8,634,464

Collatz Trajectory (168 steps to reach 1)

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

8,634,464 4,317,232 2,158,616 1,079,308 539,654 269,827 809,482 404,741 1,214,224 607,112 303,556 151,778 75,889 227,668 113,834 56,917 170,752 85,376 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

More profiles

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