λ
Harmonic Matrix

3,316,359

3 × 137 × 8069
Deficient Odd Composite

3,316,359 has digital root 3. The neighboring primes are 3316337 and 3316361; its proper-divisor sum differs from the starting integer by -2,178,078.

Prime Factor Structure

Factorization String 3 × 137 × 8069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,454,640
Proper Divisor Sum 1,138,281
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3316337 ← → #3316361

Radix Representation

Decimal 3316359
Binary 1100101001101010000111 (22 bits)
Octal 0o14515207
Hexadecimal 0x329A87

Divisor Catalog (8)

1 3 137 411 8,069 24,207 1,105,453 3,316,359

Collatz Trajectory (115 steps to reach 1)

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

3,316,359 9,949,078 4,974,539 14,923,618 7,461,809 22,385,428 11,192,714 5,596,357 16,789,072 8,394,536 4,197,268 2,098,634 1,049,317 3,147,952 1,573,976 786,988 393,494 196,747 590,242 295,121 885,364 442,682 221,341 664,024 332,012 166,006 83,003 249,010 124,505 373,516 186,758 93,379 280,138 140,069 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509

More profiles

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