λ
Harmonic Matrix

3,248,724

22 × 3 × 97 × 2791
Abundant Even Composite

3,248,724 has digital root 3. The neighboring primes are 3248701 and 3248731; its proper-divisor sum differs from the starting integer by 1,163,800.

Prime Factor Structure

Factorization String 2^2 × 3 × 97 × 2791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,661,248
Proper Divisor Sum 4,412,524
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3248701 ← → #3248731

Radix Representation

Decimal 3248724
Binary 1100011001001001010100 (22 bits)
Octal 0o14311124
Hexadecimal 0x319254

Divisor Catalog (24)

1 2 3 4 6 12 97 194 291 388 582 1,164 2,791 5,582 8,373 11,164 16,746 33,492 270,727 541,454 812,181 1,082,908 1,624,362 3,248,724

Collatz Trajectory (102 steps to reach 1)

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

3,248,724 1,624,362 812,181 2,436,544 1,218,272 609,136 304,568 152,284 76,142 38,071 114,214 57,107 171,322 85,661 256,984 128,492 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574

More profiles

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