λ
Harmonic Matrix

3,252,978

2 × 32 × 127 × 1423
Abundant Even Composite

3,252,978 has digital root 9. The neighboring primes are 3252961 and 3252979; its proper-divisor sum differs from the starting integer by 602,652.

Prime Factor Structure

Factorization String 2 × 3^2 × 127 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,108,608
Proper Divisor Sum 3,855,630
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3252961 ← → #3252979

Radix Representation

Decimal 3252978
Binary 1100011010001011110010 (22 bits)
Octal 0o14321362
Hexadecimal 0x31A2F2

Divisor Catalog (24)

1 2 3 6 9 18 127 254 381 762 1,143 1,423 2,286 2,846 4,269 8,538 12,807 25,614 180,721 361,442 542,163 1,084,326 1,626,489 3,252,978

Collatz Trajectory (115 steps to reach 1)

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

3,252,978 1,626,489 4,879,468 2,439,734 1,219,867 3,659,602 1,829,801 5,489,404 2,744,702 1,372,351 4,117,054 2,058,527 6,175,582 3,087,791 9,263,374 4,631,687 13,895,062 6,947,531 20,842,594 10,421,297 31,263,892 15,631,946 7,815,973 23,447,920 11,723,960 5,861,980 2,930,990 1,465,495 4,396,486 2,198,243 6,594,730 3,297,365 9,892,096 4,946,048 2,473,024 1,236,512 618,256 309,128 154,564 77,282 38,641 115,924 57,962 28,981 86,944 43,472 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442

More profiles

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