λ
Harmonic Matrix

1,428,445

5 × 109 × 2621
Deficient Odd Composite

1,428,445 has digital root 1. The neighboring primes are 1428431 and 1428473; its proper-divisor sum differs from the starting integer by -1,126,370.

Prime Factor Structure

Factorization String 5 × 109 × 2621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,730,520
Proper Divisor Sum 302,075
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1428431 ← → #1428473

Radix Representation

Decimal 1428445
Binary 101011100101111011101 (21 bits)
Octal 0o5345735
Hexadecimal 0x15CBDD

Divisor Catalog (8)

1 5 109 545 2,621 13,105 285,689 1,428,445

Collatz Trajectory (75 steps to reach 1)

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

1,428,445 4,285,336 2,142,668 1,071,334 535,667 1,607,002 803,501 2,410,504 1,205,252 602,626 301,313 903,940 451,970 225,985 677,956 338,978 169,489 508,468 254,234 127,117 381,352 190,676 95,338 47,669 143,008 71,504 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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