5,311,425

3 × 5² × 7 × 67 × 151

5,311,425 has the prime decomposition 3 × 5^2 × 7 × 67 × 151. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 67 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,253,312

Proper Divisor Sum 4,941,887

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5311417 ← → #5311441

Radix Representation

Decimal	5311425
Binary	10100010000101111000001 (23 bits)
Octal	0o24205701
Hexadecimal	0x510BC1

Divisor Catalog (48)

1 3 5 7 15 21 25 35 67 75 105 151 175 201 335 453 469 525 755 1,005 1,057 1,407 1,675 2,265 2,345 3,171 3,775 5,025 5,285 7,035 10,117 11,325 11,725 15,855 26,425 30,351 35,175 50,585 70,819 79,275 151,755 212,457 252,925 354,095 758,775 1,062,285 1,770,475 5,311,425

Collatz Trajectory (188 steps to reach 1)

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

5,311,425 15,934,276 7,967,138 3,983,569 11,950,708 5,975,354 2,987,677 8,963,032 4,481,516 2,240,758 1,120,379 3,361,138 1,680,569 5,041,708 2,520,854 1,260,427 3,781,282 1,890,641 5,671,924 2,835,962 1,417,981 4,253,944 2,126,972 1,063,486 531,743 1,595,230 797,615 2,392,846 1,196,423 3,589,270 1,794,635 5,383,906 2,691,953 8,075,860 4,037,930 2,018,965 6,056,896 3,028,448 1,514,224 757,112 378,556 189,278 94,639 283,918 141,959 425,878 212,939 638,818 319,409 958,228 479,114 239,557 718,672 359,336 179,668 89,834 44,917 134,752 67,376 33,688

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