λ
Harmonic Matrix

3,188,296

23 × 353 × 1129
Deficient Even Composite

3,188,296 has digital root 1. The neighboring primes are 3188291 and 3188303; its proper-divisor sum differs from the starting integer by -376,292.

Prime Factor Structure

Factorization String 2^3 × 353 × 1129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,000,300
Proper Divisor Sum 2,812,004
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3188291 ← → #3188303

Radix Representation

Decimal 3188296
Binary 1100001010011001001000 (22 bits)
Octal 0o14123110
Hexadecimal 0x30A648

Divisor Catalog (16)

1 2 4 8 353 706 1,129 1,412 2,258 2,824 4,516 9,032 398,537 797,074 1,594,148 3,188,296

Collatz Trajectory (164 steps to reach 1)

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

3,188,296 1,594,148 797,074 398,537 1,195,612 597,806 298,903 896,710 448,355 1,345,066 672,533 2,017,600 1,008,800 504,400 252,200 126,100 63,050 31,525 94,576 47,288 23,644 11,822 5,911 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

More profiles

← Previous Integer #3,188,295 Browse Full Index Next Integer #3,188,297 →