λ
Harmonic Matrix

4,020,513

3 × 7 × 191453
Deficient Odd Composite

4,020,513 has digital root 6. The neighboring primes are 4020503 and 4020529; its proper-divisor sum differs from the starting integer by -1,914,498.

Prime Factor Structure

Factorization String 3 × 7 × 191453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,126,528
Proper Divisor Sum 2,106,015
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4020503 ← → #4020529

Radix Representation

Decimal 4020513
Binary 1111010101100100100001 (22 bits)
Octal 0o17254441
Hexadecimal 0x3D5921

Divisor Catalog (8)

1 3 7 21 191,453 574,359 1,340,171 4,020,513

Collatz Trajectory (92 steps to reach 1)

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

4,020,513 12,061,540 6,030,770 3,015,385 9,046,156 4,523,078 2,261,539 6,784,618 3,392,309 10,176,928 5,088,464 2,544,232 1,272,116 636,058 318,029 954,088 477,044 238,522 119,261 357,784 178,892 89,446 44,723 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256

More profiles

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