1,604,512

2⁵ × 7 × 13 × 19 × 29

For 1,604,512, the 96 positive divisors have a total of 4,233,600. Removing 1,604,512 leaves 2,629,088, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 19 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 4,233,600

Proper Divisor Sum 2,629,088

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1604509 ← → #1604513

Radix Representation

Decimal	1604512
Binary	110000111101110100000 (21 bits)
Octal	0o6075640
Hexadecimal	0x187BA0

Divisor Catalog (60 of 96)

1 2 4 7 8 13 14 16 19 26 28 29 32 38 52 56 58 76 91 104 112 116 133 152 182 203 208 224 232 247 266 304 364 377 406 416 464 494 532 551 608 728 754 812 928 988 1,064 1,102 1,456 1,508 1,624 1,729 1,976 2,128 2,204 2,639 2,912 3,016 3,248 3,458

Collatz Trajectory (70 steps to reach 1)

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

1,604,512 802,256 401,128 200,564 100,282 50,141 150,424 75,212 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52

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