λ
Harmonic Matrix

5,566,407

3 × 7 × 11 × 24097
Deficient Odd Composite

5,566,407 has digital root 6. The neighboring primes are 5566403 and 5566409; its proper-divisor sum differs from the starting integer by -1,879,182.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 24097
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,253,632
Proper Divisor Sum 3,687,225
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5566403 ← → #5566409

Radix Representation

Decimal 5566407
Binary 10101001110111111000111 (23 bits)
Octal 0o25167707
Hexadecimal 0x54EFC7

Divisor Catalog (16)

1 3 7 11 21 33 77 231 24,097 72,291 168,679 265,067 506,037 795,201 1,855,469 5,566,407

Collatz Trajectory (214 steps to reach 1)

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

5,566,407 16,699,222 8,349,611 25,048,834 12,524,417 37,573,252 18,786,626 9,393,313 28,179,940 14,089,970 7,044,985 21,134,956 10,567,478 5,283,739 15,851,218 7,925,609 23,776,828 11,888,414 5,944,207 17,832,622 8,916,311 26,748,934 13,374,467 40,123,402 20,061,701 60,185,104 30,092,552 15,046,276 7,523,138 3,761,569 11,284,708 5,642,354 2,821,177 8,463,532 4,231,766 2,115,883 6,347,650 3,173,825 9,521,476 4,760,738 2,380,369 7,141,108 3,570,554 1,785,277 5,355,832 2,677,916 1,338,958 669,479 2,008,438 1,004,219 3,012,658 1,506,329 4,518,988 2,259,494 1,129,747 3,389,242 1,694,621 5,083,864 2,541,932 1,270,966

More profiles

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