7,714,184

2³ × 179 × 5387

Starting at 7,714,184, the Collatz iteration reaches 1 after 124 steps. The first transition is 3857092; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 179 × 5387

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,547,600

Proper Divisor Sum 6,833,416

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7714183 ← → #7714193

Radix Representation

Decimal	7714184
Binary	11101011011010110001000 (23 bits)
Octal	0o35332610
Hexadecimal	0x75B588

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 5,387 10,774 21,548 43,096 964,273 1,928,546 3,857,092 7,714,184

Collatz Trajectory (124 steps to reach 1)

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

7,714,184 3,857,092 1,928,546 964,273 2,892,820 1,446,410 723,205 2,169,616 1,084,808 542,404 271,202 135,601 406,804 203,402 101,701 305,104 152,552 76,276 38,138 19,069 57,208 28,604 14,302 7,151 21,454 10,727 32,182 16,091 48,274 24,137 72,412 36,206 18,103 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158

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