λ
Harmonic Matrix

2,843,167

97 × 29311
Deficient Odd Composite

2,843,167 has digital root 4. The neighboring primes are 2843153 and 2843177; its proper-divisor sum differs from the starting integer by -2,813,758.

Prime Factor Structure

Factorization String 97 × 29311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,872,576
Proper Divisor Sum 29,409
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2843153 ← → #2843177

Radix Representation

Decimal 2843167
Binary 1010110110001000011111 (22 bits)
Octal 0o12661037
Hexadecimal 0x2B621F

Divisor Catalog (4)

1 97 29,311 2,843,167

Collatz Trajectory (169 steps to reach 1)

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

2,843,167 8,529,502 4,264,751 12,794,254 6,397,127 19,191,382 9,595,691 28,787,074 14,393,537 43,180,612 21,590,306 10,795,153 32,385,460 16,192,730 8,096,365 24,289,096 12,144,548 6,072,274 3,036,137 9,108,412 4,554,206 2,277,103 6,831,310 3,415,655 10,246,966 5,123,483 15,370,450 7,685,225 23,055,676 11,527,838 5,763,919 17,291,758 8,645,879 25,937,638 12,968,819 38,906,458 19,453,229 58,359,688 29,179,844 14,589,922 7,294,961 21,884,884 10,942,442 5,471,221 16,413,664 8,206,832 4,103,416 2,051,708 1,025,854 512,927 1,538,782 769,391 2,308,174 1,154,087 3,462,262 1,731,131 5,193,394 2,596,697 7,790,092 3,895,046

More profiles

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