λ
Harmonic Matrix

3,532,073

17 × 207769
Deficient Odd Composite

3,532,073 has digital root 5. The neighboring primes are 3532049 and 3532091; its proper-divisor sum differs from the starting integer by -3,324,286.

Prime Factor Structure

Factorization String 17 × 207769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,739,860
Proper Divisor Sum 207,787
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3532049 ← → #3532091

Radix Representation

Decimal 3532073
Binary 1101011110010100101001 (22 bits)
Octal 0o15362451
Hexadecimal 0x35E529

Divisor Catalog (4)

1 17 207,769 3,532,073

Collatz Trajectory (177 steps to reach 1)

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

3,532,073 10,596,220 5,298,110 2,649,055 7,947,166 3,973,583 11,920,750 5,960,375 17,881,126 8,940,563 26,821,690 13,410,845 40,232,536 20,116,268 10,058,134 5,029,067 15,087,202 7,543,601 22,630,804 11,315,402 5,657,701 16,973,104 8,486,552 4,243,276 2,121,638 1,060,819 3,182,458 1,591,229 4,773,688 2,386,844 1,193,422 596,711 1,790,134 895,067 2,685,202 1,342,601 4,027,804 2,013,902 1,006,951 3,020,854 1,510,427 4,531,282 2,265,641 6,796,924 3,398,462 1,699,231 5,097,694 2,548,847 7,646,542 3,823,271 11,469,814 5,734,907 17,204,722 8,602,361 25,807,084 12,903,542 6,451,771 19,355,314 9,677,657 29,032,972

More profiles

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