2,293,965

3² × 5 × 19 × 2683

Starting at 2,293,965, the Collatz iteration reaches 1 after 192 steps. The first transition is 6881896; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 2683

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,187,040

Proper Divisor Sum 1,893,075

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2293961 ← → #2293981

Radix Representation

Decimal	2293965
Binary	1000110000000011001101 (22 bits)
Octal	0o10600315
Hexadecimal	0x2300CD

Divisor Catalog (24)

1 3 5 9 15 19 45 57 95 171 285 855 2,683 8,049 13,415 24,147 40,245 50,977 120,735 152,931 254,885 458,793 764,655 2,293,965

Collatz Trajectory (192 steps to reach 1)

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

2,293,965 6,881,896 3,440,948 1,720,474 860,237 2,580,712 1,290,356 645,178 322,589 967,768 483,884 241,942 120,971 362,914 181,457 544,372 272,186 136,093 408,280 204,140 102,070 51,035 153,106 76,553 229,660 114,830 57,415 172,246 86,123 258,370 129,185 387,556 193,778 96,889 290,668 145,334 72,667 218,002 109,001 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489 103,468 51,734 25,867 77,602 38,801 116,404 58,202 29,101 87,304

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