553,728

2⁸ × 3 × 7 × 103

553,728 has digital root 3. The neighboring primes are 553727 and 553733; its proper-divisor sum differs from the starting integer by 593,152.

Prime Factor Structure

Factorization String 2^8 × 3 × 7 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,700,608

Proper Divisor Sum 1,146,880

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #553727 ← → #553733

Radix Representation

Decimal	553728
Binary	10000111001100000000 (20 bits)
Octal	0o2071400
Hexadecimal	0x87300

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 618 672 721 768 824 896 1,236 1,344 1,442 1,648 1,792 2,163 2,472 2,688 2,884 3,296 4,326 4,944 5,376 5,768 6,592 8,652 9,888 11,536 13,184 17,304 19,776

Collatz Trajectory (146 steps to reach 1)

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

553,728 276,864 138,432 69,216 34,608 17,304 8,652 4,326 2,163 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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