λ
Harmonic Matrix

1,651,422

2 × 3 × 449 × 613
Abundant Even Composite

1,651,422 has digital root 3. The neighboring primes are 1651411 and 1651457; its proper-divisor sum differs from the starting integer by 12,756.

Prime Factor Structure

Factorization String 2 × 3 × 449 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,315,600
Proper Divisor Sum 1,664,178
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1651411 ← → #1651457

Radix Representation

Decimal 1651422
Binary 110010011001011011110 (21 bits)
Octal 0o6231336
Hexadecimal 0x1932DE

Divisor Catalog (16)

1 2 3 6 449 613 898 1,226 1,347 1,839 2,694 3,678 275,237 550,474 825,711 1,651,422

Collatz Trajectory (207 steps to reach 1)

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

1,651,422 825,711 2,477,134 1,238,567 3,715,702 1,857,851 5,573,554 2,786,777 8,360,332 4,180,166 2,090,083 6,270,250 3,135,125 9,405,376 4,702,688 2,351,344 1,175,672 587,836 293,918 146,959 440,878 220,439 661,318 330,659 991,978 495,989 1,487,968 743,984 371,992 185,996 92,998 46,499 139,498 69,749 209,248 104,624 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480

More profiles

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