5,556,288

2⁶ × 3 × 43 × 673

5,556,288 is even and not a perfect square. Its factorization is 2^6 × 3 × 43 × 673 and its 56 divisors sum to 15,065,248.

Prime Factor Structure

Factorization String 2^6 × 3 × 43 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 15,065,248

Proper Divisor Sum 9,508,960

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5556283 ← → #5556289

Radix Representation

Decimal	5556288
Binary	10101001100100001000000 (23 bits)
Octal	0o25144100
Hexadecimal	0x54C840

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 673 688 1,032 1,346 1,376 2,019 2,064 2,692 2,752 4,038 4,128 5,384 8,076 8,256 10,768 16,152 21,536 28,939 32,304 43,072 57,878 64,608 86,817 115,756 129,216 173,634 231,512 347,268 463,024 694,536 926,048 1,389,072 1,852,096 2,778,144 5,556,288

Collatz Trajectory (82 steps to reach 1)

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

5,556,288 2,778,144 1,389,072 694,536 347,268 173,634 86,817 260,452 130,226 65,113 195,340 97,670 48,835 146,506 73,253 219,760 109,880 54,940 27,470 13,735 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980

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