λ
Harmonic Matrix

2,016,321

3 × 672107
Deficient Odd Composite

2,016,321 has digital root 6. The neighboring primes are 2016293 and 2016323; its proper-divisor sum differs from the starting integer by -1,344,210.

Prime Factor Structure

Factorization String 3 × 672107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,688,432
Proper Divisor Sum 672,111
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2016293 ← → #2016323

Radix Representation

Decimal 2016321
Binary 111101100010001000001 (21 bits)
Octal 0o7542101
Hexadecimal 0x1EC441

Divisor Catalog (4)

1 3 672,107 2,016,321

Collatz Trajectory (91 steps to reach 1)

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

2,016,321 6,048,964 3,024,482 1,512,241 4,536,724 2,268,362 1,134,181 3,402,544 1,701,272 850,636 425,318 212,659 637,978 318,989 956,968 478,484 239,242 119,621 358,864 179,432 89,716 44,858 22,429 67,288 33,644 16,822 8,411 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358

More profiles

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