λ
Harmonic Matrix

2,979,317

11 × 31 × 8737
Deficient Odd Composite

2,979,317 has digital root 2. The neighboring primes are 2979313 and 2979329; its proper-divisor sum differs from the starting integer by -2,603,242.

Prime Factor Structure

Factorization String 11 × 31 × 8737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,355,392
Proper Divisor Sum 376,075
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2979313 ← → #2979329

Radix Representation

Decimal 2979317
Binary 1011010111010111110101 (22 bits)
Octal 0o13272765
Hexadecimal 0x2D75F5

Divisor Catalog (8)

1 11 31 341 8,737 96,107 270,847 2,979,317

Collatz Trajectory (89 steps to reach 1)

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

2,979,317 8,937,952 4,468,976 2,234,488 1,117,244 558,622 279,311 837,934 418,967 1,256,902 628,451 1,885,354 942,677 2,828,032 1,414,016 707,008 353,504 176,752 88,376 44,188 22,094 11,047 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152

More profiles

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