λ
Prime Ledger

4,427,355

3 × 5 × 53 × 5569
Deficient Odd Composite

4,427,355 has the prime decomposition 3 × 5 × 53 × 5569. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 5569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,218,720
Proper Divisor Sum 2,791,365
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4427341 ← → #4427369

Radix Representation

Decimal 4427355
Binary 10000111000111001011011 (23 bits)
Octal 0o20707133
Hexadecimal 0x438E5B

Divisor Catalog (16)

1 3 5 15 53 159 265 795 5,569 16,707 27,845 83,535 295,157 885,471 1,475,785 4,427,355

Collatz Trajectory (105 steps to reach 1)

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

4,427,355 13,282,066 6,641,033 19,923,100 9,961,550 4,980,775 14,942,326 7,471,163 22,413,490 11,206,745 33,620,236 16,810,118 8,405,059 25,215,178 12,607,589 37,822,768 18,911,384 9,455,692 4,727,846 2,363,923 7,091,770 3,545,885 10,637,656 5,318,828 2,659,414 1,329,707 3,989,122 1,994,561 5,983,684 2,991,842 1,495,921 4,487,764 2,243,882 1,121,941 3,365,824 1,682,912 841,456 420,728 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081

More profiles

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