λ
Harmonic Matrix

3,214,082

2 × 167 × 9623
Deficient Even Composite

3,214,082 has digital root 2. The neighboring primes are 3214073 and 3214087; its proper-divisor sum differs from the starting integer by -1,577,668.

Prime Factor Structure

Factorization String 2 × 167 × 9623
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,850,496
Proper Divisor Sum 1,636,414
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3214073 ← → #3214087

Radix Representation

Decimal 3214082
Binary 1100010000101100000010 (22 bits)
Octal 0o14205402
Hexadecimal 0x310B02

Divisor Catalog (8)

1 2 167 334 9,623 19,246 1,607,041 3,214,082

Collatz Trajectory (120 steps to reach 1)

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

3,214,082 1,607,041 4,821,124 2,410,562 1,205,281 3,615,844 1,807,922 903,961 2,711,884 1,355,942 677,971 2,033,914 1,016,957 3,050,872 1,525,436 762,718 381,359 1,144,078 572,039 1,716,118 858,059 2,574,178 1,287,089 3,861,268 1,930,634 965,317 2,895,952 1,447,976 723,988 361,994 180,997 542,992 271,496 135,748 67,874 33,937 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392

More profiles

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