5,624,827

13² × 83 × 401

5,624,827 is odd and not a perfect square. Its factorization is 13^2 × 83 × 401 and its 12 divisors sum to 6,179,544.

Prime Factor Structure

Factorization String 13^2 × 83 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,179,544

Proper Divisor Sum 554,717

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5624821 ← → #5624849

Radix Representation

Decimal	5624827
Binary	10101011101001111111011 (23 bits)
Octal	0o25351773
Hexadecimal	0x55D3FB

Divisor Catalog (12)

1 13 83 169 401 1,079 5,213 14,027 33,283 67,769 432,679 5,624,827

Collatz Trajectory (157 steps to reach 1)

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

5,624,827 16,874,482 8,437,241 25,311,724 12,655,862 6,327,931 18,983,794 9,491,897 28,475,692 14,237,846 7,118,923 21,356,770 10,678,385 32,035,156 16,017,578 8,008,789 24,026,368 12,013,184 6,006,592 3,003,296 1,501,648 750,824 375,412 187,706 93,853 281,560 140,780 70,390 35,195 105,586 52,793 158,380 79,190 39,595 118,786 59,393 178,180 89,090 44,545 133,636 66,818 33,409 100,228 50,114 25,057 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680

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