λ
Prime Ledger

1,789,672

23 × 349 × 641
Deficient Even Composite

1,789,672 has the prime decomposition 2^3 × 349 × 641. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 349 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,370,500
Proper Divisor Sum 1,580,828
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1789649 ← → #1789681

Radix Representation

Decimal 1789672
Binary 110110100111011101000 (21 bits)
Octal 0o6647350
Hexadecimal 0x1B4EE8

Divisor Catalog (16)

1 2 4 8 349 641 698 1,282 1,396 2,564 2,792 5,128 223,709 447,418 894,836 1,789,672

Collatz Trajectory (158 steps to reach 1)

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

1,789,672 894,836 447,418 223,709 671,128 335,564 167,782 83,891 251,674 125,837 377,512 188,756 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322

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