λ
Zalai Atlas

733,145

5 × 7 × 20947
Deficient Odd Composite

733,145 has the prime decomposition 5 × 7 × 20947. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 20947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,005,504
Proper Divisor Sum 272,359
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #733141 ← → #733147

Radix Representation

Decimal 733145
Binary 10110010111111011001 (20 bits)
Octal 0o2627731
Hexadecimal 0xB2FD9

Divisor Catalog (8)

1 5 7 35 20,947 104,735 146,629 733,145

Collatz Trajectory (87 steps to reach 1)

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

733,145 2,199,436 1,099,718 549,859 1,649,578 824,789 2,474,368 1,237,184 618,592 309,296 154,648 77,324 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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