λ
Harmonic Matrix

2,971,921

223 × 13327
Deficient Odd Composite

2,971,921 has digital root 4. The neighboring primes are 2971909 and 2971963; its proper-divisor sum differs from the starting integer by -2,958,370.

Prime Factor Structure

Factorization String 223 × 13327
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,985,472
Proper Divisor Sum 13,551
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2971909 ← → #2971963

Radix Representation

Decimal 2971921
Binary 1011010101100100010001 (22 bits)
Octal 0o13254421
Hexadecimal 0x2D5911

Divisor Catalog (4)

1 223 13,327 2,971,921

Collatz Trajectory (164 steps to reach 1)

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

2,971,921 8,915,764 4,457,882 2,228,941 6,686,824 3,343,412 1,671,706 835,853 2,507,560 1,253,780 626,890 313,445 940,336 470,168 235,084 117,542 58,771 176,314 88,157 264,472 132,236 66,118 33,059 99,178 49,589 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143

More profiles

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