λ
Harmonic Matrix

2,206,541

59 × 149 × 251
Deficient Odd Composite

2,206,541 has digital root 2. The neighboring primes are 2206517 and 2206543; its proper-divisor sum differs from the starting integer by -2,145,082.

Prime Factor Structure

Factorization String 59 × 149 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,268,000
Proper Divisor Sum 61,459
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2206517 ← → #2206543

Radix Representation

Decimal 2206541
Binary 1000011010101101001101 (22 bits)
Octal 0o10325515
Hexadecimal 0x21AB4D

Divisor Catalog (8)

1 59 149 251 8,791 14,809 37,399 2,206,541

Collatz Trajectory (91 steps to reach 1)

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

2,206,541 6,619,624 3,309,812 1,654,906 827,453 2,482,360 1,241,180 620,590 310,295 930,886 465,443 1,396,330 698,165 2,094,496 1,047,248 523,624 261,812 130,906 65,453 196,360 98,180 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333

More profiles

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