λ
Harmonic Matrix

6,733,265

5 × 7 × 11 × 17489
Deficient Odd Composite

6,733,265 has digital root 5. The neighboring primes are 6733261 and 6733271; its proper-divisor sum differs from the starting integer by -3,392,290.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17489
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,074,240
Proper Divisor Sum 3,340,975
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6733261 ← → #6733271

Radix Representation

Decimal 6733265
Binary 11001101011110111010001 (23 bits)
Octal 0o31536721
Hexadecimal 0x66BDD1

Divisor Catalog (16)

1 5 7 11 35 55 77 385 17,489 87,445 122,423 192,379 612,115 961,895 1,346,653 6,733,265

Collatz Trajectory (134 steps to reach 1)

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

6,733,265 20,199,796 10,099,898 5,049,949 15,149,848 7,574,924 3,787,462 1,893,731 5,681,194 2,840,597 8,521,792 4,260,896 2,130,448 1,065,224 532,612 266,306 133,153 399,460 199,730 99,865 299,596 149,798 74,899 224,698 112,349 337,048 168,524 84,262 42,131 126,394 63,197 189,592 94,796 47,398 23,699 71,098 35,549 106,648 53,324 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187

More profiles

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