λ
Harmonic Matrix

5,563,355

5 × 7 × 23 × 6911
Deficient Odd Composite

5,563,355 has digital root 5. The neighboring primes are 5563321 and 5563361; its proper-divisor sum differs from the starting integer by -3,164,086.

Prime Factor Structure

Factorization String 5 × 7 × 23 × 6911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,962,624
Proper Divisor Sum 2,399,269
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5563321 ← → #5563361

Radix Representation

Decimal 5563355
Binary 10101001110001111011011 (23 bits)
Octal 0o25161733
Hexadecimal 0x54E3DB

Divisor Catalog (16)

1 5 7 23 35 115 161 805 6,911 34,555 48,377 158,953 241,885 794,765 1,112,671 5,563,355

Collatz Trajectory (108 steps to reach 1)

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

5,563,355 16,690,066 8,345,033 25,035,100 12,517,550 6,258,775 18,776,326 9,388,163 28,164,490 14,082,245 42,246,736 21,123,368 10,561,684 5,280,842 2,640,421 7,921,264 3,960,632 1,980,316 990,158 495,079 1,485,238 742,619 2,227,858 1,113,929 3,341,788 1,670,894 835,447 2,506,342 1,253,171 3,759,514 1,879,757 5,639,272 2,819,636 1,409,818 704,909 2,114,728 1,057,364 528,682 264,341 793,024 396,512 198,256 99,128 49,564 24,782 12,391 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051 141,154 70,577 211,732

More profiles

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