4,237,425

3² × 5² × 37 × 509

4,237,425 is odd and not a perfect square. Its factorization is 3^2 × 5^2 × 37 × 509 and its 36 divisors sum to 7,810,140.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 37 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,810,140

Proper Divisor Sum 3,572,715

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4237423 ← → #4237427

Radix Representation

Decimal	4237425
Binary	10000001010100001110001 (23 bits)
Octal	0o20124161
Hexadecimal	0x40A871

Divisor Catalog (36)

1 3 5 9 15 25 37 45 75 111 185 225 333 509 555 925 1,527 1,665 2,545 2,775 4,581 7,635 8,325 12,725 18,833 22,905 38,175 56,499 94,165 114,525 169,497 282,495 470,825 847,485 1,412,475 4,237,425

Collatz Trajectory (105 steps to reach 1)

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

4,237,425 12,712,276 6,356,138 3,178,069 9,534,208 4,767,104 2,383,552 1,191,776 595,888 297,944 148,972 74,486 37,243 111,730 55,865 167,596 83,798 41,899 125,698 62,849 188,548 94,274 47,137 141,412 70,706 35,353 106,060 53,030 26,515 79,546 39,773 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749

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