3,627,847

83 × 109 × 401

Starting at 3,627,847, the Collatz iteration reaches 1 after 190 steps. The first transition is 10883542; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 83 × 109 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,714,480

Proper Divisor Sum 86,633

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3627839 ← → #3627857

Radix Representation

Decimal	3627847
Binary	1101110101101101000111 (22 bits)
Octal	0o15655507
Hexadecimal	0x375B47

Divisor Catalog (8)

1 83 109 401 9,047 33,283 43,709 3,627,847

Collatz Trajectory (190 steps to reach 1)

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

3,627,847 10,883,542 5,441,771 16,325,314 8,162,657 24,487,972 12,243,986 6,121,993 18,365,980 9,182,990 4,591,495 13,774,486 6,887,243 20,661,730 10,330,865 30,992,596 15,496,298 7,748,149 23,244,448 11,622,224 5,811,112 2,905,556 1,452,778 726,389 2,179,168 1,089,584 544,792 272,396 136,198 68,099 204,298 102,149 306,448 153,224 76,612 38,306 19,153 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838

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