λ
Prime Ledger

7,163,648

28 × 27983
Deficient Even Composite

7,163,648 has the prime decomposition 2^8 × 27983. Its 2 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 27983
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 14,299,824
Proper Divisor Sum 7,136,176
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7163633 ← → #7163659

Radix Representation

Decimal 7163648
Binary 11011010100111100000000 (23 bits)
Octal 0o33247400
Hexadecimal 0x6D4F00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 27,983 55,966 111,932 223,864 447,728 895,456 1,790,912 3,581,824 7,163,648

Collatz Trajectory (98 steps to reach 1)

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

7,163,648 3,581,824 1,790,912 895,456 447,728 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576

More profiles

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