λ
Prime Ledger

3,516,224

26 × 54941
Deficient Even Composite

3,516,224 has the prime decomposition 2^6 × 54941. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 54941
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 6,977,634
Proper Divisor Sum 3,461,410
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3516209 ← → #3516269

Radix Representation

Decimal 3516224
Binary 1101011010011101000000 (22 bits)
Octal 0o15323500
Hexadecimal 0x35A740

Divisor Catalog (14)

1 2 4 8 16 32 64 54,941 109,882 219,764 439,528 879,056 1,758,112 3,516,224

Collatz Trajectory (71 steps to reach 1)

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

3,516,224 1,758,112 879,056 439,528 219,764 109,882 54,941 164,824 82,412 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106

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