λ
Prime Ledger

781,936

24 × 48871
Deficient Even Composite

781,936 has the prime decomposition 2^4 × 48871. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 48871
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,515,032
Proper Divisor Sum 733,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #781919 ← → #781951

Radix Representation

Decimal 781936
Binary 10111110111001110000 (20 bits)
Octal 0o2767160
Hexadecimal 0xBEE70

Divisor Catalog (10)

1 2 4 8 16 48,871 97,742 195,484 390,968 781,936

Collatz Trajectory (224 steps to reach 1)

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

781,936 390,968 195,484 97,742 48,871 146,614 73,307 219,922 109,961 329,884 164,942 82,471 247,414 123,707 371,122 185,561 556,684 278,342 139,171 417,514 208,757 626,272 313,136 156,568 78,284 39,142 19,571 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967

More profiles

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