λ
Harmonic Matrix

3,463,521

3 × 43 × 26849
Deficient Odd Composite

3,463,521 has digital root 6. The neighboring primes are 3463517 and 3463531; its proper-divisor sum differs from the starting integer by -2,201,442.

Prime Factor Structure

Factorization String 3 × 43 × 26849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,725,600
Proper Divisor Sum 1,262,079
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3463517 ← → #3463531

Radix Representation

Decimal 3463521
Binary 1101001101100101100001 (22 bits)
Octal 0o15154541
Hexadecimal 0x34D961

Divisor Catalog (8)

1 3 43 129 26,849 80,547 1,154,507 3,463,521

Collatz Trajectory (159 steps to reach 1)

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

3,463,521 10,390,564 5,195,282 2,597,641 7,792,924 3,896,462 1,948,231 5,844,694 2,922,347 8,767,042 4,383,521 13,150,564 6,575,282 3,287,641 9,862,924 4,931,462 2,465,731 7,397,194 3,698,597 11,095,792 5,547,896 2,773,948 1,386,974 693,487 2,080,462 1,040,231 3,120,694 1,560,347 4,681,042 2,340,521 7,021,564 3,510,782 1,755,391 5,266,174 2,633,087 7,899,262 3,949,631 11,848,894 5,924,447 17,773,342 8,886,671 26,660,014 13,330,007 39,990,022 19,995,011 59,985,034 29,992,517 89,977,552 44,988,776 22,494,388 11,247,194 5,623,597 16,870,792 8,435,396 4,217,698 2,108,849 6,326,548 3,163,274 1,581,637 4,744,912

More profiles

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