λ
Modular Archive

3,002,475

3 × 52 × 72 × 19 × 43
Abundant Odd Composite

The decimal integer 3,002,475 is 1011011101000001101011 in binary (22 bits), 13350153 in octal and 2DD06B in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 19 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,219,840
Proper Divisor Sum 3,217,365
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3002473 ← → #3002491

Radix Representation

Decimal 3002475
Binary 1011011101000001101011 (22 bits)
Octal 0o13350153
Hexadecimal 0x2DD06B

Divisor Catalog (60 of 72)

1 3 5 7 15 19 21 25 35 43 49 57 75 95 105 129 133 147 175 215 245 285 301 399 475 525 645 665 735 817 903 931 1,075 1,225 1,425 1,505 1,995 2,107 2,451 2,793 3,225 3,325 3,675 4,085 4,515 4,655 5,719 6,321 7,525 9,975 10,535 12,255 13,965 17,157 20,425 22,575 23,275 28,595 31,605 40,033

Collatz Trajectory (164 steps to reach 1)

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

3,002,475 9,007,426 4,503,713 13,511,140 6,755,570 3,377,785 10,133,356 5,066,678 2,533,339 7,600,018 3,800,009 11,400,028 5,700,014 2,850,007 8,550,022 4,275,011 12,825,034 6,412,517 19,237,552 9,618,776 4,809,388 2,404,694 1,202,347 3,607,042 1,803,521 5,410,564 2,705,282 1,352,641 4,057,924 2,028,962 1,014,481 3,043,444 1,521,722 760,861 2,282,584 1,141,292 570,646 285,323 855,970 427,985 1,283,956 641,978 320,989 962,968 481,484 240,742 120,371 361,114 180,557 541,672 270,836 135,418 67,709 203,128 101,564 50,782 25,391 76,174 38,087 114,262

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