5,402,817

3² × 7 × 191 × 449

Starting at 5,402,817, the Collatz iteration reaches 1 after 188 steps. The first transition is 16208452; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 191 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,985,600

Proper Divisor Sum 3,582,783

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5402759 ← → #5402819

Radix Representation

Decimal	5402817
Binary	10100100111000011000001 (23 bits)
Octal	0o24470301
Hexadecimal	0x5270C1

Divisor Catalog (24)

1 3 7 9 21 63 191 449 573 1,337 1,347 1,719 3,143 4,011 4,041 9,429 12,033 28,287 85,759 257,277 600,313 771,831 1,800,939 5,402,817

Collatz Trajectory (188 steps to reach 1)

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

5,402,817 16,208,452 8,104,226 4,052,113 12,156,340 6,078,170 3,039,085 9,117,256 4,558,628 2,279,314 1,139,657 3,418,972 1,709,486 854,743 2,564,230 1,282,115 3,846,346 1,923,173 5,769,520 2,884,760 1,442,380 721,190 360,595 1,081,786 540,893 1,622,680 811,340 405,670 202,835 608,506 304,253 912,760 456,380 228,190 114,095 342,286 171,143 513,430 256,715 770,146 385,073 1,155,220 577,610 288,805 866,416 433,208 216,604 108,302 54,151 162,454 81,227 243,682 121,841 365,524 182,762 91,381 274,144 137,072 68,536 34,268

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