λ
Harmonic Matrix

7,590,289

7 × 41 × 53 × 499
Deficient Odd Composite

7,590,289 has digital root 4. The neighboring primes are 7590281 and 7590293; its proper-divisor sum differs from the starting integer by -6,108,578.

Prime Factor Structure

Factorization String 7 × 41 × 53 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 1,481,711
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7590281 ← → #7590293

Radix Representation

Decimal 7590289
Binary 11100111101000110010001 (23 bits)
Octal 0o34750621
Hexadecimal 0x73D191

Divisor Catalog (16)

1 7 41 53 287 371 499 2,173 3,493 15,211 20,459 26,447 143,213 185,129 1,084,327 7,590,289

Collatz Trajectory (173 steps to reach 1)

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

7,590,289 22,770,868 11,385,434 5,692,717 17,078,152 8,539,076 4,269,538 2,134,769 6,404,308 3,202,154 1,601,077 4,803,232 2,401,616 1,200,808 600,404 300,202 150,101 450,304 225,152 112,576 56,288 28,144 14,072 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

More profiles

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