λ
Harmonic Matrix

4,435,214

2 × 7 × 316801
Deficient Even Composite

4,435,214 has digital root 5. The neighboring primes are 4435183 and 4435237; its proper-divisor sum differs from the starting integer by -1,267,180.

Prime Factor Structure

Factorization String 2 × 7 × 316801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,603,248
Proper Divisor Sum 3,168,034
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4435183 ← → #4435237

Radix Representation

Decimal 4435214
Binary 10000111010110100001110 (23 bits)
Octal 0o20726416
Hexadecimal 0x43AD0E

Divisor Catalog (8)

1 2 7 14 316,801 633,602 2,217,607 4,435,214

Collatz Trajectory (211 steps to reach 1)

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

4,435,214 2,217,607 6,652,822 3,326,411 9,979,234 4,989,617 14,968,852 7,484,426 3,742,213 11,226,640 5,613,320 2,806,660 1,403,330 701,665 2,104,996 1,052,498 526,249 1,578,748 789,374 394,687 1,184,062 592,031 1,776,094 888,047 2,664,142 1,332,071 3,996,214 1,998,107 5,994,322 2,997,161 8,991,484 4,495,742 2,247,871 6,743,614 3,371,807 10,115,422 5,057,711 15,173,134 7,586,567 22,759,702 11,379,851 34,139,554 17,069,777 51,209,332 25,604,666 12,802,333 38,407,000 19,203,500 9,601,750 4,800,875 14,402,626 7,201,313 21,603,940 10,801,970 5,400,985 16,202,956 8,101,478 4,050,739 12,152,218 6,076,109

More profiles

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