5,177,984

2⁷ × 7 × 5779

Starting at 5,177,984, the Collatz iteration reaches 1 after 144 steps. The first transition is 2588992; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 5779

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,791,200

Proper Divisor Sum 6,613,216

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5177983 ← → #5177989

Radix Representation

Decimal	5177984
Binary	10011110000001010000000 (23 bits)
Octal	0o23601200
Hexadecimal	0x4F0280

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 5,779 11,558 23,116 40,453 46,232 80,906 92,464 161,812 184,928 323,624 369,856 647,248 739,712 1,294,496 2,588,992 5,177,984

Collatz Trajectory (144 steps to reach 1)

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

5,177,984 2,588,992 1,294,496 647,248 323,624 161,812 80,906 40,453 121,360 60,680 30,340 15,170 7,585 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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