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Atlas › Integer Profiles › Node 28,802,404

28,802,404

22 × 19 × 97 × 3907
Deficient Even Composite

28,802,404 factors as 2^2 × 19 × 97 × 3907. Its 24 positive divisors give a proper-divisor sum of 24,815,356, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 97 × 3907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 53,617,760
Proper Divisor Sum 24,815,356
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28802401 ← → #28802407

Radix Representation

Decimal 28802404
Binary 1101101110111110101100100 (25 bits)
Octal 0o155676544
Hexadecimal 0x1B77D64

Divisor Catalog (24)

1 2 4 19 38 76 97 194 388 1,843 3,686 3,907 7,372 7,814 15,628 74,233 148,466 296,932 378,979 757,958 1,515,916 7,200,601 14,401,202 28,802,404

Collatz Trajectory (118 steps to reach 1)

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

28,802,404 14,401,202 7,200,601 21,601,804 10,800,902 5,400,451 16,201,354 8,100,677 24,302,032 12,151,016 6,075,508 3,037,754 1,518,877 4,556,632 2,278,316 1,139,158 569,579 1,708,738 854,369 2,563,108 1,281,554 640,777 1,922,332 961,166 480,583 1,441,750 720,875 2,162,626 1,081,313 3,243,940 1,621,970 810,985 2,432,956 1,216,478 608,239 1,824,718 912,359 2,737,078 1,368,539 4,105,618 2,052,809 6,158,428 3,079,214 1,539,607 4,618,822 2,309,411 6,928,234 3,464,117 10,392,352 5,196,176 2,598,088 1,299,044 649,522 324,761 974,284 487,142 243,571 730,714 365,357 1,096,072

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