7,124,624

2⁴ × 13 × 34253

7,124,624 has the prime decomposition 2^4 × 13 × 34253. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 34253

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,866,236

Proper Divisor Sum 7,741,612

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7124603 ← → #7124629

Radix Representation

Decimal	7124624
Binary	11011001011011010010000 (23 bits)
Octal	0o33133220
Hexadecimal	0x6CB690

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 34,253 68,506 137,012 274,024 445,289 548,048 890,578 1,781,156 3,562,312 7,124,624

Collatz Trajectory (129 steps to reach 1)

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

7,124,624 3,562,312 1,781,156 890,578 445,289 1,335,868 667,934 333,967 1,001,902 500,951 1,502,854 751,427 2,254,282 1,127,141 3,381,424 1,690,712 845,356 422,678 211,339 634,018 317,009 951,028 475,514 237,757 713,272 356,636 178,318 89,159 267,478 133,739 401,218 200,609 601,828 300,914 150,457 451,372 225,686 112,843 338,530 169,265 507,796 253,898 126,949 380,848 190,424 95,212 47,606 23,803 71,410 35,705 107,116 53,558 26,779 80,338 40,169 120,508 60,254 30,127 90,382 45,191

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