λ
Harmonic Matrix

3,477,861

32 × 386429
Deficient Odd Composite

3,477,861 has digital root 9. The neighboring primes are 3477857 and 3477869; its proper-divisor sum differs from the starting integer by -1,932,132.

Prime Factor Structure

Factorization String 3^2 × 386429
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,023,590
Proper Divisor Sum 1,545,729
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3477857 ← → #3477869

Radix Representation

Decimal 3477861
Binary 1101010001000101100101 (22 bits)
Octal 0o15210545
Hexadecimal 0x351165

Divisor Catalog (6)

1 3 9 386,429 1,159,287 3,477,861

Collatz Trajectory (97 steps to reach 1)

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

3,477,861 10,433,584 5,216,792 2,608,396 1,304,198 652,099 1,956,298 978,149 2,934,448 1,467,224 733,612 366,806 183,403 550,210 275,105 825,316 412,658 206,329 618,988 309,494 154,747 464,242 232,121 696,364 348,182 174,091 522,274 261,137 783,412 391,706 195,853 587,560 293,780 146,890 73,445 220,336 110,168 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613

More profiles

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