λ
Harmonic Matrix

7,674,517

1759 × 4363
Deficient Odd Composite

7,674,517 has digital root 1. The neighboring primes are 7674487 and 7674521; its proper-divisor sum differs from the starting integer by -7,668,394.

Prime Factor Structure

Factorization String 1759 × 4363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,680,640
Proper Divisor Sum 6,123
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7674487 ← → #7674521

Radix Representation

Decimal 7674517
Binary 11101010001101010010101 (23 bits)
Octal 0o35215225
Hexadecimal 0x751A95

Divisor Catalog (4)

1 1,759 4,363 7,674,517

Collatz Trajectory (217 steps to reach 1)

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

7,674,517 23,023,552 11,511,776 5,755,888 2,877,944 1,438,972 719,486 359,743 1,079,230 539,615 1,618,846 809,423 2,428,270 1,214,135 3,642,406 1,821,203 5,463,610 2,731,805 8,195,416 4,097,708 2,048,854 1,024,427 3,073,282 1,536,641 4,609,924 2,304,962 1,152,481 3,457,444 1,728,722 864,361 2,593,084 1,296,542 648,271 1,944,814 972,407 2,917,222 1,458,611 4,375,834 2,187,917 6,563,752 3,281,876 1,640,938 820,469 2,461,408 1,230,704 615,352 307,676 153,838 76,919 230,758 115,379 346,138 173,069 519,208 259,604 129,802 64,901 194,704 97,352 48,676

More profiles

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