λ
Harmonic Matrix

4,141,055

5 × 29 × 28559
Deficient Odd Composite

4,141,055 has digital root 2. The neighboring primes are 4141009 and 4141057; its proper-divisor sum differs from the starting integer by -3,141,310.

Prime Factor Structure

Factorization String 5 × 29 × 28559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,140,800
Proper Divisor Sum 999,745
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4141009 ← → #4141057

Radix Representation

Decimal 4141055
Binary 1111110010111111111111 (22 bits)
Octal 0o17627777
Hexadecimal 0x3F2FFF

Divisor Catalog (8)

Collatz Trajectory (136 steps to reach 1)

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

4,141,055 12,423,166 6,211,583 18,634,750 9,317,375 27,952,126 13,976,063 41,928,190 20,964,095 62,892,286 31,446,143 94,338,430 47,169,215 141,507,646 70,753,823 212,261,470 106,130,735 318,392,206 159,196,103 477,588,310 238,794,155 716,382,466 358,191,233 1,074,573,700 537,286,850 268,643,425 805,930,276 402,965,138 201,482,569 604,447,708 302,223,854 151,111,927 453,335,782 226,667,891 680,003,674 340,001,837 1,020,005,512 510,002,756 255,001,378 127,500,689 382,502,068 191,251,034 95,625,517 286,876,552 143,438,276 71,719,138 35,859,569 107,578,708 53,789,354 26,894,677 80,684,032 40,342,016 20,171,008 10,085,504 5,042,752 2,521,376 1,260,688 630,344 315,172 157,586

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