λ
Harmonic Matrix

2,974,041

32 × 7 × 47207
Deficient Odd Composite

2,974,041 has digital root 9. The neighboring primes are 2974033 and 2974057; its proper-divisor sum differs from the starting integer by -1,038,450.

Prime Factor Structure

Factorization String 3^2 × 7 × 47207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,909,632
Proper Divisor Sum 1,935,591
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2974033 ← → #2974057

Radix Representation

Decimal 2974041
Binary 1011010110000101011001 (22 bits)
Octal 0o13260531
Hexadecimal 0x2D6159

Divisor Catalog (12)

1 3 7 9 21 63 47,207 141,621 330,449 424,863 991,347 2,974,041

Collatz Trajectory (275 steps to reach 1)

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

2,974,041 8,922,124 4,461,062 2,230,531 6,691,594 3,345,797 10,037,392 5,018,696 2,509,348 1,254,674 627,337 1,882,012 941,006 470,503 1,411,510 705,755 2,117,266 1,058,633 3,175,900 1,587,950 793,975 2,381,926 1,190,963 3,572,890 1,786,445 5,359,336 2,679,668 1,339,834 669,917 2,009,752 1,004,876 502,438 251,219 753,658 376,829 1,130,488 565,244 282,622 141,311 423,934 211,967 635,902 317,951 953,854 476,927 1,430,782 715,391 2,146,174 1,073,087 3,219,262 1,609,631 4,828,894 2,414,447 7,243,342 3,621,671 10,865,014 5,432,507 16,297,522 8,148,761 24,446,284

More profiles

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