λ
Harmonic Matrix

1,540,055

5 × 11 × 28001
Deficient Odd Composite

1,540,055 has digital root 2. The neighboring primes are 1540039 and 1540073; its proper-divisor sum differs from the starting integer by -1,063,966.

Prime Factor Structure

Factorization String 5 × 11 × 28001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,016,144
Proper Divisor Sum 476,089
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1540039 ← → #1540073

Radix Representation

Decimal 1540055
Binary 101110111111111010111 (21 bits)
Octal 0o5677727
Hexadecimal 0x177FD7

Divisor Catalog (8)

1 5 11 55 28,001 140,005 308,011 1,540,055

Collatz Trajectory (238 steps to reach 1)

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

1,540,055 4,620,166 2,310,083 6,930,250 3,465,125 10,395,376 5,197,688 2,598,844 1,299,422 649,711 1,949,134 974,567 2,923,702 1,461,851 4,385,554 2,192,777 6,578,332 3,289,166 1,644,583 4,933,750 2,466,875 7,400,626 3,700,313 11,100,940 5,550,470 2,775,235 8,325,706 4,162,853 12,488,560 6,244,280 3,122,140 1,561,070 780,535 2,341,606 1,170,803 3,512,410 1,756,205 5,268,616 2,634,308 1,317,154 658,577 1,975,732 987,866 493,933 1,481,800 740,900 370,450 185,225 555,676 277,838 138,919 416,758 208,379 625,138 312,569 937,708 468,854 234,427 703,282 351,641

More profiles

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