λ
Harmonic Matrix

1,528,714

2 × 112 × 6317
Deficient Even Composite

1,528,714 has digital root 1. The neighboring primes are 1528697 and 1528717; its proper-divisor sum differs from the starting integer by -536,546.

Prime Factor Structure

Factorization String 2 × 11^2 × 6317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,520,882
Proper Divisor Sum 992,168
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1528697 ← → #1528717

Radix Representation

Decimal 1528714
Binary 101110101001110001010 (21 bits)
Octal 0o5651612
Hexadecimal 0x17538A

Divisor Catalog (12)

1 2 11 22 121 242 6,317 12,634 69,487 138,974 764,357 1,528,714

Collatz Trajectory (150 steps to reach 1)

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

1,528,714 764,357 2,293,072 1,146,536 573,268 286,634 143,317 429,952 214,976 107,488 53,744 26,872 13,436 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 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

More profiles

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