λ
Harmonic Matrix

3,943,269

33 × 112 × 17 × 71
Deficient Odd Composite

3,943,269 has digital root 9. The neighboring primes are 3943267 and 3943283; its proper-divisor sum differs from the starting integer by -991,818.

Prime Factor Structure

Factorization String 3^3 × 11^2 × 17 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,894,720
Proper Divisor Sum 2,951,451
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3943267 ← → #3943283

Radix Representation

Decimal 3943269
Binary 1111000010101101100101 (22 bits)
Octal 0o17025545
Hexadecimal 0x3C2B65

Divisor Catalog (48)

1 3 9 11 17 27 33 51 71 99 121 153 187 213 297 363 459 561 639 781 1,089 1,207 1,683 1,917 2,057 2,343 3,267 3,621 5,049 6,171 7,029 8,591 10,863 13,277 18,513 21,087 25,773 32,589 39,831 55,539 77,319 119,493 146,047 231,957 358,479 438,141 1,314,423 3,943,269

Collatz Trajectory (141 steps to reach 1)

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

3,943,269 11,829,808 5,914,904 2,957,452 1,478,726 739,363 2,218,090 1,109,045 3,327,136 1,663,568 831,784 415,892 207,946 103,973 311,920 155,960 77,980 38,990 19,495 58,486 29,243 87,730 43,865 131,596 65,798 32,899 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700

More profiles

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