λ
Harmonic Matrix

2,643,152

24 × 233 × 709
Deficient Even Composite

2,643,152 has digital root 5. The neighboring primes are 2643133 and 2643161; its proper-divisor sum differs from the starting integer by -135,964.

Prime Factor Structure

Factorization String 2^4 × 233 × 709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,150,340
Proper Divisor Sum 2,507,188
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2643133 ← → #2643161

Radix Representation

Decimal 2643152
Binary 1010000101010011010000 (22 bits)
Octal 0o12052320
Hexadecimal 0x2854D0

Divisor Catalog (20)

1 2 4 8 16 233 466 709 932 1,418 1,864 2,836 3,728 5,672 11,344 165,197 330,394 660,788 1,321,576 2,643,152

Collatz Trajectory (68 steps to reach 1)

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

2,643,152 1,321,576 660,788 330,394 165,197 495,592 247,796 123,898 61,949 185,848 92,924 46,462 23,231 69,694 34,847 104,542 52,271 156,814 78,407 235,222 117,611 352,834 176,417 529,252 264,626 132,313 396,940 198,470 99,235 297,706 148,853 446,560 223,280 111,640 55,820 27,910 13,955 41,866 20,933 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80

More profiles

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