λ
Harmonic Matrix

1,313,871

3 × 13 × 59 × 571
Deficient Odd Composite

1,313,871 has digital root 6. The neighboring primes are 1313863 and 1313881; its proper-divisor sum differs from the starting integer by -705,822.

Prime Factor Structure

Factorization String 3 × 13 × 59 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,921,920
Proper Divisor Sum 608,049
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1313863 ← → #1313881

Radix Representation

Decimal 1313871
Binary 101000000110001001111 (21 bits)
Octal 0o5006117
Hexadecimal 0x140C4F

Divisor Catalog (16)

1 3 13 39 59 177 571 767 1,713 2,301 7,423 22,269 33,689 101,067 437,957 1,313,871

Collatz Trajectory (217 steps to reach 1)

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

1,313,871 3,941,614 1,970,807 5,912,422 2,956,211 8,868,634 4,434,317 13,302,952 6,651,476 3,325,738 1,662,869 4,988,608 2,494,304 1,247,152 623,576 311,788 155,894 77,947 233,842 116,921 350,764 175,382 87,691 263,074 131,537 394,612 197,306 98,653 295,960 147,980 73,990 36,995 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338

More profiles

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