4,189,076

2² × 101 × 10369

Starting at 4,189,076, the Collatz iteration reaches 1 after 167 steps. The first transition is 2094538; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 101 × 10369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,404,180

Proper Divisor Sum 3,215,104

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4189069 ← → #4189091

Radix Representation

Decimal	4189076
Binary	1111111110101110010100 (22 bits)
Octal	0o17765624
Hexadecimal	0x3FEB94

Divisor Catalog (12)

1 2 4 101 202 404 10,369 20,738 41,476 1,047,269 2,094,538 4,189,076

Collatz Trajectory (167 steps to reach 1)

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

4,189,076 2,094,538 1,047,269 3,141,808 1,570,904 785,452 392,726 196,363 589,090 294,545 883,636 441,818 220,909 662,728 331,364 165,682 82,841 248,524 124,262 62,131 186,394 93,197 279,592 139,796 69,898 34,949 104,848 52,424 26,212 13,106 6,553 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125

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