1,331,584

2⁷ × 101 × 103

1,331,584 has the prime decomposition 2^7 × 101 × 103. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 101 × 103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,705,040

Proper Divisor Sum 1,373,456

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1331579 ← → #1331587

Radix Representation

Decimal	1331584
Binary	101000101000110000000 (21 bits)
Octal	0o5050600
Hexadecimal	0x145180

Divisor Catalog (32)

1 2 4 8 16 32 64 101 103 128 202 206 404 412 808 824 1,616 1,648 3,232 3,296 6,464 6,592 10,403 12,928 13,184 20,806 41,612 83,224 166,448 332,896 665,792 1,331,584

Collatz Trajectory (155 steps to reach 1)

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

1,331,584 665,792 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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