λ
Harmonic Matrix

3,658,329

32 × 406481
Deficient Odd Composite

3,658,329 has digital root 9. The neighboring primes are 3658327 and 3658331; its proper-divisor sum differs from the starting integer by -2,032,392.

Prime Factor Structure

Factorization String 3^2 × 406481
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,284,266
Proper Divisor Sum 1,625,937
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3658327 ← → #3658331

Radix Representation

Decimal 3658329
Binary 1101111101001001011001 (22 bits)
Octal 0o15751131
Hexadecimal 0x37D259

Divisor Catalog (6)

1 3 9 406,481 1,219,443 3,658,329

Collatz Trajectory (141 steps to reach 1)

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

3,658,329 10,974,988 5,487,494 2,743,747 8,231,242 4,115,621 12,346,864 6,173,432 3,086,716 1,543,358 771,679 2,315,038 1,157,519 3,472,558 1,736,279 5,208,838 2,604,419 7,813,258 3,906,629 11,719,888 5,859,944 2,929,972 1,464,986 732,493 2,197,480 1,098,740 549,370 274,685 824,056 412,028 206,014 103,007 309,022 154,511 463,534 231,767 695,302 347,651 1,042,954 521,477 1,564,432 782,216 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206

More profiles

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