λ
Harmonic Matrix

1,013,875

53 × 8111
Deficient Odd Composite

1,013,875 has digital root 7. The neighboring primes are 1013851 and 1013879; its proper-divisor sum differs from the starting integer by -762,278.

Prime Factor Structure

Factorization String 5^3 × 8111
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,265,472
Proper Divisor Sum 251,597
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1013851 ← → #1013879

Radix Representation

Decimal 1013875
Binary 11110111100001110011 (20 bits)
Octal 0o3674163
Hexadecimal 0xF7873

Divisor Catalog (8)

1 5 25 125 8,111 40,555 202,775 1,013,875

Collatz Trajectory (139 steps to reach 1)

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

1,013,875 3,041,626 1,520,813 4,562,440 2,281,220 1,140,610 570,305 1,710,916 855,458 427,729 1,283,188 641,594 320,797 962,392 481,196 240,598 120,299 360,898 180,449 541,348 270,674 135,337 406,012 203,006 101,503 304,510 152,255 456,766 228,383 685,150 342,575 1,027,726 513,863 1,541,590 770,795 2,312,386 1,156,193 3,468,580 1,734,290 867,145 2,601,436 1,300,718 650,359 1,951,078 975,539 2,926,618 1,463,309 4,389,928 2,194,964 1,097,482 548,741 1,646,224 823,112 411,556 205,778 102,889 308,668 154,334 77,167 231,502

More profiles

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