λ
Harmonic Matrix

2,919,021

3 × 7 × 97 × 1433
Deficient Odd Composite

2,919,021 has digital root 6. The neighboring primes are 2919017 and 2919031; its proper-divisor sum differs from the starting integer by -1,341,018.

Prime Factor Structure

Factorization String 3 × 7 × 97 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,497,024
Proper Divisor Sum 1,578,003
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2919017 ← → #2919031

Radix Representation

Decimal 2919021
Binary 1011001000101001101101 (22 bits)
Octal 0o13105155
Hexadecimal 0x2C8A6D

Divisor Catalog (16)

1 3 7 21 97 291 679 1,433 2,037 4,299 10,031 30,093 139,001 417,003 973,007 2,919,021

Collatz Trajectory (319 steps to reach 1)

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

2,919,021 8,757,064 4,378,532 2,189,266 1,094,633 3,283,900 1,641,950 820,975 2,462,926 1,231,463 3,694,390 1,847,195 5,541,586 2,770,793 8,312,380 4,156,190 2,078,095 6,234,286 3,117,143 9,351,430 4,675,715 14,027,146 7,013,573 21,040,720 10,520,360 5,260,180 2,630,090 1,315,045 3,945,136 1,972,568 986,284 493,142 246,571 739,714 369,857 1,109,572 554,786 277,393 832,180 416,090 208,045 624,136 312,068 156,034 78,017 234,052 117,026 58,513 175,540 87,770 43,885 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515

More profiles

← Previous Integer #2,919,020 Browse Full Index Next Integer #2,919,022 →