λ
Harmonic Matrix

1,505,077

7 × 127 × 1693
Deficient Odd Composite

1,505,077 has digital root 7. The neighboring primes are 1505033 and 1505083; its proper-divisor sum differs from the starting integer by -1,275,498.

Prime Factor Structure

Factorization String 7 × 127 × 1693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,734,656
Proper Divisor Sum 229,579
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1505033 ← → #1505083

Radix Representation

Decimal 1505077
Binary 101101111011100110101 (21 bits)
Octal 0o5573465
Hexadecimal 0x16F735

Divisor Catalog (8)

1 7 127 889 1,693 11,851 215,011 1,505,077

Collatz Trajectory (150 steps to reach 1)

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

1,505,077 4,515,232 2,257,616 1,128,808 564,404 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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