λ
Harmonic Matrix

3,884,264

23 × 53 × 9161
Deficient Even Composite

3,884,264 has digital root 8. The neighboring primes are 3884261 and 3884267; its proper-divisor sum differs from the starting integer by -347,308.

Prime Factor Structure

Factorization String 2^3 × 53 × 9161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,421,220
Proper Divisor Sum 3,536,956
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3884261 ← → #3884267

Radix Representation

Decimal 3884264
Binary 1110110100010011101000 (22 bits)
Octal 0o16642350
Hexadecimal 0x3B44E8

Divisor Catalog (16)

1 2 4 8 53 106 212 424 9,161 18,322 36,644 73,288 485,533 971,066 1,942,132 3,884,264

Collatz Trajectory (185 steps to reach 1)

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

3,884,264 1,942,132 971,066 485,533 1,456,600 728,300 364,150 182,075 546,226 273,113 819,340 409,670 204,835 614,506 307,253 921,760 460,880 230,440 115,220 57,610 28,805 86,416 43,208 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685

More profiles

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