7,329,003

3 × 11 × 19 × 11689

Starting at 7,329,003, the Collatz iteration reaches 1 after 173 steps. The first transition is 21987010; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 11689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,222,400

Proper Divisor Sum 3,893,397

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7328957 ← → #7329013

Radix Representation

Decimal	7329003
Binary	11011111101010011101011 (23 bits)
Octal	0o33752353
Hexadecimal	0x6FD4EB

Divisor Catalog (16)

1 3 11 19 33 57 209 627 11,689 35,067 128,579 222,091 385,737 666,273 2,443,001 7,329,003

Collatz Trajectory (173 steps to reach 1)

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

7,329,003 21,987,010 10,993,505 32,980,516 16,490,258 8,245,129 24,735,388 12,367,694 6,183,847 18,551,542 9,275,771 27,827,314 13,913,657 41,740,972 20,870,486 10,435,243 31,305,730 15,652,865 46,958,596 23,479,298 11,739,649 35,218,948 17,609,474 8,804,737 26,414,212 13,207,106 6,603,553 19,810,660 9,905,330 4,952,665 14,857,996 7,428,998 3,714,499 11,143,498 5,571,749 16,715,248 8,357,624 4,178,812 2,089,406 1,044,703 3,134,110 1,567,055 4,701,166 2,350,583 7,051,750 3,525,875 10,577,626 5,288,813 15,866,440 7,933,220 3,966,610 1,983,305 5,949,916 2,974,958 1,487,479 4,462,438 2,231,219 6,693,658 3,346,829 10,040,488

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