λ
Prime Ledger

7,633,732

22 × 1908433
Deficient Even Composite

7,633,732 has the prime decomposition 2^2 × 1908433. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1908433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,359,038
Proper Divisor Sum 5,725,306
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7633679 ← → #7633733

Radix Representation

Decimal 7633732
Binary 11101000111101101000100 (23 bits)
Octal 0o35075504
Hexadecimal 0x747B44

Divisor Catalog (6)

1 2 4 1,908,433 3,816,866 7,633,732

Collatz Trajectory (173 steps to reach 1)

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

7,633,732 3,816,866 1,908,433 5,725,300 2,862,650 1,431,325 4,293,976 2,146,988 1,073,494 536,747 1,610,242 805,121 2,415,364 1,207,682 603,841 1,811,524 905,762 452,881 1,358,644 679,322 339,661 1,018,984 509,492 254,746 127,373 382,120 191,060 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348

More profiles

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