4,197,117

3 × 1399039

Starting at 4,197,117, the Collatz iteration reaches 1 after 180 steps. The first transition is 12591352; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 1399039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 5,596,160

Proper Divisor Sum 1,399,043

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4197107 ← → #4197133

Radix Representation

Decimal	4197117
Binary	10000000000101011111101 (23 bits)
Octal	0o20005375
Hexadecimal	0x400AFD

Divisor Catalog (4)

1 3 1,399,039 4,197,117

Collatz Trajectory (180 steps to reach 1)

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

4,197,117 12,591,352 6,295,676 3,147,838 1,573,919 4,721,758 2,360,879 7,082,638 3,541,319 10,623,958 5,311,979 15,935,938 7,967,969 23,903,908 11,951,954 5,975,977 17,927,932 8,963,966 4,481,983 13,445,950 6,722,975 20,168,926 10,084,463 30,253,390 15,126,695 45,380,086 22,690,043 68,070,130 34,035,065 102,105,196 51,052,598 25,526,299 76,578,898 38,289,449 114,868,348 57,434,174 28,717,087 86,151,262 43,075,631 129,226,894 64,613,447 193,840,342 96,920,171 290,760,514 145,380,257 436,140,772 218,070,386 109,035,193 327,105,580 163,552,790 81,776,395 245,329,186 122,664,593 367,993,780 183,996,890 91,998,445 275,995,336 137,997,668 68,998,834 34,499,417

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