λ
Harmonic Matrix

6,343,642

2 × 811 × 3911
Deficient Even Composite

6,343,642 has digital root 1. The neighboring primes are 6343639 and 6343651; its proper-divisor sum differs from the starting integer by -3,157,652.

Prime Factor Structure

Factorization String 2 × 811 × 3911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,529,632
Proper Divisor Sum 3,185,990
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6343639 ← → #6343651

Radix Representation

Decimal 6343642
Binary 11000001100101111011010 (23 bits)
Octal 0o30145732
Hexadecimal 0x60CBDA

Divisor Catalog (8)

1 2 811 1,622 3,911 7,822 3,171,821 6,343,642

Collatz Trajectory (147 steps to reach 1)

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

6,343,642 3,171,821 9,515,464 4,757,732 2,378,866 1,189,433 3,568,300 1,784,150 892,075 2,676,226 1,338,113 4,014,340 2,007,170 1,003,585 3,010,756 1,505,378 752,689 2,258,068 1,129,034 564,517 1,693,552 846,776 423,388 211,694 105,847 317,542 158,771 476,314 238,157 714,472 357,236 178,618 89,309 267,928 133,964 66,982 33,491 100,474 50,237 150,712 75,356 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118

More profiles

← Previous Integer #6,343,641 Browse Full Index Next Integer #6,343,643 →