λ
Harmonic Matrix

2,730,316

22 × 379 × 1801
Deficient Even Composite

2,730,316 has digital root 4. The neighboring primes are 2730271 and 2730347; its proper-divisor sum differs from the starting integer by -667,312.

Prime Factor Structure

Factorization String 2^2 × 379 × 1801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,793,320
Proper Divisor Sum 2,063,004
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2730271 ← → #2730347

Radix Representation

Decimal 2730316
Binary 1010011010100101001100 (22 bits)
Octal 0o12324514
Hexadecimal 0x29A94C

Divisor Catalog (12)

1 2 4 379 758 1,516 1,801 3,602 7,204 682,579 1,365,158 2,730,316

Collatz Trajectory (107 steps to reach 1)

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

2,730,316 1,365,158 682,579 2,047,738 1,023,869 3,071,608 1,535,804 767,902 383,951 1,151,854 575,927 1,727,782 863,891 2,591,674 1,295,837 3,887,512 1,943,756 971,878 485,939 1,457,818 728,909 2,186,728 1,093,364 546,682 273,341 820,024 410,012 205,006 102,503 307,510 153,755 461,266 230,633 691,900 345,950 172,975 518,926 259,463 778,390 389,195 1,167,586 583,793 1,751,380 875,690 437,845 1,313,536 656,768 328,384 164,192 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320

More profiles

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