556,608

2⁶ × 3 × 13 × 223

556,608 has the prime decomposition 2^6 × 3 × 13 × 223. Its 4 distinct prime factors produce 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 1,593,088

Proper Divisor Sum 1,036,480

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #556607 ← → #556609

Radix Representation

Decimal	556608
Binary	10000111111001000000 (20 bits)
Octal	0o2077100
Hexadecimal	0x87E40

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 223 312 416 446 624 669 832 892 1,248 1,338 1,784 2,496 2,676 2,899 3,568 5,352 5,798 7,136 8,697 10,704 11,596 14,272 17,394 21,408 23,192 34,788 42,816 46,384 69,576 92,768 139,152 185,536 278,304 556,608

Collatz Trajectory (208 steps to reach 1)

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

556,608 278,304 139,152 69,576 34,788 17,394 8,697 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330

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