λ
Harmonic Matrix

1,533,284

22 × 383321
Deficient Even Composite

1,533,284 has digital root 8. The neighboring primes are 1533283 and 1533293; its proper-divisor sum differs from the starting integer by -383,314.

Prime Factor Structure

Factorization String 2^2 × 383321
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,683,254
Proper Divisor Sum 1,149,970
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1533283 ← → #1533293

Radix Representation

Decimal 1533284
Binary 101110110010101100100 (21 bits)
Octal 0o5662544
Hexadecimal 0x176564

Divisor Catalog (6)

1 2 4 383,321 766,642 1,533,284

Collatz Trajectory (57 steps to reach 1)

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

1,533,284 766,642 383,321 1,149,964 574,982 287,491 862,474 431,237 1,293,712 646,856 323,428 161,714 80,857 242,572 121,286 60,643 181,930 90,965 272,896 136,448 68,224 34,112 17,056 8,528 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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