λ
Harmonic Matrix

2,021,399

59 × 34261
Deficient Odd Composite

2,021,399 has digital root 8. The neighboring primes are 2021381 and 2021431; its proper-divisor sum differs from the starting integer by -1,987,078.

Prime Factor Structure

Factorization String 59 × 34261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,055,720
Proper Divisor Sum 34,321
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2021381 ← → #2021431

Radix Representation

Decimal 2021399
Binary 111101101100000010111 (21 bits)
Octal 0o7554027
Hexadecimal 0x1ED817

Divisor Catalog (4)

1 59 34,261 2,021,399

Collatz Trajectory (91 steps to reach 1)

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

2,021,399 6,064,198 3,032,099 9,096,298 4,548,149 13,644,448 6,822,224 3,411,112 1,705,556 852,778 426,389 1,279,168 639,584 319,792 159,896 79,948 39,974 19,987 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358

More profiles

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