λ
Harmonic Matrix

7,020,596

22 × 11 × 379 × 421
Deficient Even Composite

7,020,596 has digital root 2. The neighboring primes are 7020593 and 7020613; its proper-divisor sum differs from the starting integer by -570,952.

Prime Factor Structure

Factorization String 2^2 × 11 × 379 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,470,240
Proper Divisor Sum 6,449,644
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7020593 ← → #7020613

Radix Representation

Decimal 7020596
Binary 11010110010000000110100 (23 bits)
Octal 0o32620064
Hexadecimal 0x6B2034

Divisor Catalog (24)

1 2 4 11 22 44 379 421 758 842 1,516 1,684 4,169 4,631 8,338 9,262 16,676 18,524 159,559 319,118 638,236 1,755,149 3,510,298 7,020,596

Collatz Trajectory (98 steps to reach 1)

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

7,020,596 3,510,298 1,755,149 5,265,448 2,632,724 1,316,362 658,181 1,974,544 987,272 493,636 246,818 123,409 370,228 185,114 92,557 277,672 138,836 69,418 34,709 104,128 52,064 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241

More profiles

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