λ
Sequence Observatory

7,643,529

32 × 19 × 44699
Deficient Odd Composite

Starting at 7,643,529, the Collatz iteration reaches 1 after 248 steps. The first transition is 22930588; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 44699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,622,000
Proper Divisor Sum 3,978,471
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7643473 ← → #7643533

Radix Representation

Decimal 7643529
Binary 11101001010000110001001 (23 bits)
Octal 0o35120611
Hexadecimal 0x74A189

Divisor Catalog (12)

1 3 9 19 57 171 44,699 134,097 402,291 849,281 2,547,843 7,643,529

Collatz Trajectory (248 steps to reach 1)

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

7,643,529 22,930,588 11,465,294 5,732,647 17,197,942 8,598,971 25,796,914 12,898,457 38,695,372 19,347,686 9,673,843 29,021,530 14,510,765 43,532,296 21,766,148 10,883,074 5,441,537 16,324,612 8,162,306 4,081,153 12,243,460 6,121,730 3,060,865 9,182,596 4,591,298 2,295,649 6,886,948 3,443,474 1,721,737 5,165,212 2,582,606 1,291,303 3,873,910 1,936,955 5,810,866 2,905,433 8,716,300 4,358,150 2,179,075 6,537,226 3,268,613 9,805,840 4,902,920 2,451,460 1,225,730 612,865 1,838,596 919,298 459,649 1,378,948 689,474 344,737 1,034,212 517,106 258,553 775,660 387,830 193,915 581,746 290,873

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