4,145,925

3 × 5² × 7 × 53 × 149

4,145,925 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 53 × 149 and its 48 divisors sum to 8,035,200.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 53 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,035,200

Proper Divisor Sum 3,889,275

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4145891 ← → #4145951

Radix Representation

Decimal	4145925
Binary	1111110100001100000101 (22 bits)
Octal	0o17641405
Hexadecimal	0x3F4305

Divisor Catalog (48)

1 3 5 7 15 21 25 35 53 75 105 149 159 175 265 371 447 525 745 795 1,043 1,113 1,325 1,855 2,235 3,129 3,725 3,975 5,215 5,565 7,897 9,275 11,175 15,645 23,691 26,075 27,825 39,485 55,279 78,225 118,455 165,837 197,425 276,395 592,275 829,185 1,381,975 4,145,925

Collatz Trajectory (154 steps to reach 1)

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

4,145,925 12,437,776 6,218,888 3,109,444 1,554,722 777,361 2,332,084 1,166,042 583,021 1,749,064 874,532 437,266 218,633 655,900 327,950 163,975 491,926 245,963 737,890 368,945 1,106,836 553,418 276,709 830,128 415,064 207,532 103,766 51,883 155,650 77,825 233,476 116,738 58,369 175,108 87,554 43,777 131,332 65,666 32,833 98,500 49,250 24,625 73,876 36,938 18,469 55,408 27,704 13,852 6,926 3,463 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384

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