λ
Harmonic Matrix

3,483,944

23 × 29 × 15017
Deficient Even Composite

3,483,944 has digital root 8. The neighboring primes are 3483943 and 3483947; its proper-divisor sum differs from the starting integer by -209,788.

Prime Factor Structure

Factorization String 2^3 × 29 × 15017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,758,100
Proper Divisor Sum 3,274,156
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3483943 ← → #3483947

Radix Representation

Decimal 3483944
Binary 1101010010100100101000 (22 bits)
Octal 0o15224450
Hexadecimal 0x352928

Divisor Catalog (16)

1 2 4 8 29 58 116 232 15,017 30,034 60,068 120,136 435,493 870,986 1,741,972 3,483,944

Collatz Trajectory (97 steps to reach 1)

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

3,483,944 1,741,972 870,986 435,493 1,306,480 653,240 326,620 163,310 81,655 244,966 122,483 367,450 183,725 551,176 275,588 137,794 68,897 206,692 103,346 51,673 155,020 77,510 38,755 116,266 58,133 174,400 87,200 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144

More profiles

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