λ
Prime Ledger

1,431,604

22 × 17 × 37 × 569
Deficient Even Composite

1,431,604 has the prime decomposition 2^2 × 17 × 37 × 569. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,729,160
Proper Divisor Sum 1,297,556
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1431601 ← → #1431607

Radix Representation

Decimal 1431604
Binary 101011101100000110100 (21 bits)
Octal 0o5354064
Hexadecimal 0x15D834

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 569 629 1,138 1,258 2,276 2,516 9,673 19,346 21,053 38,692 42,106 84,212 357,901 715,802 1,431,604

Collatz Trajectory (75 steps to reach 1)

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

1,431,604 715,802 357,901 1,073,704 536,852 268,426 134,213 402,640 201,320 100,660 50,330 25,165 75,496 37,748 18,874 9,437 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44

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