2,478,525

3 × 5² × 7 × 4721

2,478,525 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 4721 and its 24 divisors sum to 4,684,224.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 4721

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,684,224

Proper Divisor Sum 2,205,699

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2478523 ← → #2478527

Radix Representation

Decimal	2478525
Binary	1001011101000110111101 (22 bits)
Octal	0o11350675
Hexadecimal	0x25D1BD

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 4,721 14,163 23,605 33,047 70,815 99,141 118,025 165,235 354,075 495,705 826,175 2,478,525

Collatz Trajectory (205 steps to reach 1)

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

2,478,525 7,435,576 3,717,788 1,858,894 929,447 2,788,342 1,394,171 4,182,514 2,091,257 6,273,772 3,136,886 1,568,443 4,705,330 2,352,665 7,057,996 3,528,998 1,764,499 5,293,498 2,646,749 7,940,248 3,970,124 1,985,062 992,531 2,977,594 1,488,797 4,466,392 2,233,196 1,116,598 558,299 1,674,898 837,449 2,512,348 1,256,174 628,087 1,884,262 942,131 2,826,394 1,413,197 4,239,592 2,119,796 1,059,898 529,949 1,589,848 794,924 397,462 198,731 596,194 298,097 894,292 447,146 223,573 670,720 335,360 167,680 83,840 41,920 20,960 10,480 5,240 2,620

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