7,836,188

2² × 1959047

Starting at 7,836,188, the Collatz iteration reaches 1 after 155 steps. The first transition is 3918094; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1959047

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,713,336

Proper Divisor Sum 5,877,148

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7836181 ← → #7836217

Radix Representation

Decimal	7836188
Binary	11101111001001000011100 (23 bits)
Octal	0o35711034
Hexadecimal	0x77921C

Divisor Catalog (6)

1 2 4 1,959,047 3,918,094 7,836,188

Collatz Trajectory (155 steps to reach 1)

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

7,836,188 3,918,094 1,959,047 5,877,142 2,938,571 8,815,714 4,407,857 13,223,572 6,611,786 3,305,893 9,917,680 4,958,840 2,479,420 1,239,710 619,855 1,859,566 929,783 2,789,350 1,394,675 4,184,026 2,092,013 6,276,040 3,138,020 1,569,010 784,505 2,353,516 1,176,758 588,379 1,765,138 882,569 2,647,708 1,323,854 661,927 1,985,782 992,891 2,978,674 1,489,337 4,468,012 2,234,006 1,117,003 3,351,010 1,675,505 5,026,516 2,513,258 1,256,629 3,769,888 1,884,944 942,472 471,236 235,618 117,809 353,428 176,714 88,357 265,072 132,536 66,268 33,134 16,567 49,702

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