λ
Harmonic Matrix

5,662,425

3 × 52 × 103 × 733
Deficient Odd Composite

5,662,425 has digital root 3. The neighboring primes are 5662421 and 5662451; its proper-divisor sum differs from the starting integer by -1,859,186.

Prime Factor Structure

Factorization String 3 × 5^2 × 103 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,465,664
Proper Divisor Sum 3,803,239
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5662421 ← → #5662451

Radix Representation

Decimal 5662425
Binary 10101100110011011011001 (23 bits)
Octal 0o25463331
Hexadecimal 0x5666D9

Divisor Catalog (24)

1 3 5 15 25 75 103 309 515 733 1,545 2,199 2,575 3,665 7,725 10,995 18,325 54,975 75,499 226,497 377,495 1,132,485 1,887,475 5,662,425

Collatz Trajectory (139 steps to reach 1)

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

5,662,425 16,987,276 8,493,638 4,246,819 12,740,458 6,370,229 19,110,688 9,555,344 4,777,672 2,388,836 1,194,418 597,209 1,791,628 895,814 447,907 1,343,722 671,861 2,015,584 1,007,792 503,896 251,948 125,974 62,987 188,962 94,481 283,444 141,722 70,861 212,584 106,292 53,146 26,573 79,720 39,860 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993

More profiles

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