λ
Harmonic Matrix

6,864,438

2 × 3 × 7 × 353 × 463
Abundant Even Composite

6,864,438 has digital root 3. The neighboring primes are 6864437 and 6864443; its proper-divisor sum differs from the starting integer by 2,039,700.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 353 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,768,576
Proper Divisor Sum 8,904,138
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6864437 ← → #6864443

Radix Representation

Decimal 6864438
Binary 11010001011111000110110 (23 bits)
Octal 0o32137066
Hexadecimal 0x68BE36

Divisor Catalog (32)

1 2 3 6 7 14 21 42 353 463 706 926 1,059 1,389 2,118 2,471 2,778 3,241 4,942 6,482 7,413 9,723 14,826 19,446 163,439 326,878 490,317 980,634 1,144,073 2,288,146 3,432,219 6,864,438

Collatz Trajectory (253 steps to reach 1)

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

6,864,438 3,432,219 10,296,658 5,148,329 15,444,988 7,722,494 3,861,247 11,583,742 5,791,871 17,375,614 8,687,807 26,063,422 13,031,711 39,095,134 19,547,567 58,642,702 29,321,351 87,964,054 43,982,027 131,946,082 65,973,041 197,919,124 98,959,562 49,479,781 148,439,344 74,219,672 37,109,836 18,554,918 9,277,459 27,832,378 13,916,189 41,748,568 20,874,284 10,437,142 5,218,571 15,655,714 7,827,857 23,483,572 11,741,786 5,870,893 17,612,680 8,806,340 4,403,170 2,201,585 6,604,756 3,302,378 1,651,189 4,953,568 2,476,784 1,238,392 619,196 309,598 154,799 464,398 232,199 696,598 348,299 1,044,898 522,449 1,567,348

More profiles

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