λ
Harmonic Matrix

1,826,759

11 × 71 × 2339
Deficient Odd Composite

1,826,759 has digital root 2. The neighboring primes are 1826753 and 1826761; its proper-divisor sum differs from the starting integer by -1,631,758.

Prime Factor Structure

Factorization String 11 × 71 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,021,760
Proper Divisor Sum 195,001
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1826753 ← → #1826761

Radix Representation

Decimal 1826759
Binary 110111101111111000111 (21 bits)
Octal 0o6757707
Hexadecimal 0x1BDFC7

Divisor Catalog (8)

1 11 71 781 2,339 25,729 166,069 1,826,759

Collatz Trajectory (109 steps to reach 1)

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

1,826,759 5,480,278 2,740,139 8,220,418 4,110,209 12,330,628 6,165,314 3,082,657 9,247,972 4,623,986 2,311,993 6,935,980 3,467,990 1,733,995 5,201,986 2,600,993 7,802,980 3,901,490 1,950,745 5,852,236 2,926,118 1,463,059 4,389,178 2,194,589 6,583,768 3,291,884 1,645,942 822,971 2,468,914 1,234,457 3,703,372 1,851,686 925,843 2,777,530 1,388,765 4,166,296 2,083,148 1,041,574 520,787 1,562,362 781,181 2,343,544 1,171,772 585,886 292,943 878,830 439,415 1,318,246 659,123 1,977,370 988,685 2,966,056 1,483,028 741,514 370,757 1,112,272 556,136 278,068 139,034 69,517

More profiles

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