1,889,825

5² × 7 × 10799

Starting at 1,889,825, the Collatz iteration reaches 1 after 78 steps. The first transition is 5669476; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 10799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,678,400

Proper Divisor Sum 788,575

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #1889819 ← → #1889831

Radix Representation

Decimal	1889825
Binary	111001101011000100001 (21 bits)
Octal	0o7153041
Hexadecimal	0x1CD621

Divisor Catalog (12)

1 5 7 25 35 175 10,799 53,995 75,593 269,975 377,965 1,889,825

Collatz Trajectory (78 steps to reach 1)

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

1,889,825 5,669,476 2,834,738 1,417,369 4,252,108 2,126,054 1,063,027 3,189,082 1,594,541 4,783,624 2,391,812 1,195,906 597,953 1,793,860 896,930 448,465 1,345,396 672,698 336,349 1,009,048 504,524 252,262 126,131 378,394 189,197 567,592 283,796 141,898 70,949 212,848 106,424 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56

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