λ
Harmonic Matrix

2,941,455

3 × 5 × 11 × 17827
Deficient Odd Composite

2,941,455 has digital root 3. The neighboring primes are 2941453 and 2941483; its proper-divisor sum differs from the starting integer by -748,446.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,134,464
Proper Divisor Sum 2,193,009
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2941453 ← → #2941483

Radix Representation

Decimal 2941455
Binary 1011001110001000001111 (22 bits)
Octal 0o13161017
Hexadecimal 0x2CE20F

Divisor Catalog (16)

1 3 5 11 15 33 55 165 17,827 53,481 89,135 196,097 267,405 588,291 980,485 2,941,455

Collatz Trajectory (151 steps to reach 1)

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

2,941,455 8,824,366 4,412,183 13,236,550 6,618,275 19,854,826 9,927,413 29,782,240 14,891,120 7,445,560 3,722,780 1,861,390 930,695 2,792,086 1,396,043 4,188,130 2,094,065 6,282,196 3,141,098 1,570,549 4,711,648 2,355,824 1,177,912 588,956 294,478 147,239 441,718 220,859 662,578 331,289 993,868 496,934 248,467 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751 149,254 74,627 223,882 111,941

More profiles

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