5,847,672

2³ × 3 × 167 × 1459

Starting at 5,847,672, the Collatz iteration reaches 1 after 95 steps. The first transition is 2923836; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 167 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,716,800

Proper Divisor Sum 8,869,128

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5847671 ← → #5847679

Radix Representation

Decimal	5847672
Binary	10110010011101001111000 (23 bits)
Octal	0o26235170
Hexadecimal	0x593A78

Divisor Catalog (32)

1 2 3 4 6 8 12 24 167 334 501 668 1,002 1,336 1,459 2,004 2,918 4,008 4,377 5,836 8,754 11,672 17,508 35,016 243,653 487,306 730,959 974,612 1,461,918 1,949,224 2,923,836 5,847,672

Collatz Trajectory (95 steps to reach 1)

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

5,847,672 2,923,836 1,461,918 730,959 2,192,878 1,096,439 3,289,318 1,644,659 4,933,978 2,466,989 7,400,968 3,700,484 1,850,242 925,121 2,775,364 1,387,682 693,841 2,081,524 1,040,762 520,381 1,561,144 780,572 390,286 195,143 585,430 292,715 878,146 439,073 1,317,220 658,610 329,305 987,916 493,958 246,979 740,938 370,469 1,111,408 555,704 277,852 138,926 69,463 208,390 104,195 312,586 156,293 468,880 234,440 117,220 58,610 29,305 87,916 43,958 21,979 65,938 32,969 98,908 49,454 24,727 74,182 37,091

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