3,292,443

3² × 7 × 11 × 4751

Starting at 3,292,443, the Collatz iteration reaches 1 after 164 steps. The first transition is 9877330; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 4751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,930,496

Proper Divisor Sum 2,638,053

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3292439 ← → #3292451

Radix Representation

Decimal	3292443
Binary	1100100011110100011011 (22 bits)
Octal	0o14436433
Hexadecimal	0x323D1B

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 4,751 14,253 33,257 42,759 52,261 99,771 156,783 299,313 365,827 470,349 1,097,481 3,292,443

Collatz Trajectory (164 steps to reach 1)

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

3,292,443 9,877,330 4,938,665 14,815,996 7,407,998 3,703,999 11,111,998 5,555,999 16,667,998 8,333,999 25,001,998 12,500,999 37,502,998 18,751,499 56,254,498 28,127,249 84,381,748 42,190,874 21,095,437 63,286,312 31,643,156 15,821,578 7,910,789 23,732,368 11,866,184 5,933,092 2,966,546 1,483,273 4,449,820 2,224,910 1,112,455 3,337,366 1,668,683 5,006,050 2,503,025 7,509,076 3,754,538 1,877,269 5,631,808 2,815,904 1,407,952 703,976 351,988 175,994 87,997 263,992 131,996 65,998 32,999 98,998 49,499 148,498 74,249 222,748 111,374 55,687 167,062 83,531 250,594 125,297

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