Harmonic Matrix

4,253,006

2 × 401 × 5303

4,253,006 has digital root 2. The neighboring primes are 4252993 and 4253023; its proper-divisor sum differs from the starting integer by -2,109,388.

Prime Factor Structure

Factorization String 2 × 401 × 5303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,396,624

Proper Divisor Sum 2,143,618

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4252993 ← → #4253023

Radix Representation

Decimal	4253006
Binary	10000001110010101001110 (23 bits)
Octal	0o20162516
Hexadecimal	0x40E54E

Divisor Catalog (8)

1 2 401 802 5,303 10,606 2,126,503 4,253,006

Collatz Trajectory (273 steps to reach 1)

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

4,253,006 2,126,503 6,379,510 3,189,755 9,569,266 4,784,633 14,353,900 7,176,950 3,588,475 10,765,426 5,382,713 16,148,140 8,074,070 4,037,035 12,111,106 6,055,553 18,166,660 9,083,330 4,541,665 13,624,996 6,812,498 3,406,249 10,218,748 5,109,374 2,554,687 7,664,062 3,832,031 11,496,094 5,748,047 17,244,142 8,622,071 25,866,214 12,933,107 38,799,322 19,399,661 58,198,984 29,099,492 14,549,746 7,274,873 21,824,620 10,912,310 5,456,155 16,368,466 8,184,233 24,552,700 12,276,350 6,138,175 18,414,526 9,207,263 27,621,790 13,810,895 41,432,686 20,716,343 62,149,030 31,074,515 93,223,546 46,611,773 139,835,320 69,917,660 34,958,830

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