λ
Harmonic Matrix

7,194,789

32 × 7 × 114203
Deficient Odd Composite

7,194,789 has digital root 9. The neighboring primes are 7194773 and 7194799; its proper-divisor sum differs from the starting integer by -2,512,362.

Prime Factor Structure

Factorization String 3^2 × 7 × 114203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,877,216
Proper Divisor Sum 4,682,427
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7194773 ← → #7194799

Radix Representation

Decimal 7194789
Binary 11011011100100010100101 (23 bits)
Octal 0o33344245
Hexadecimal 0x6DC8A5

Divisor Catalog (12)

1 3 7 9 21 63 114,203 342,609 799,421 1,027,827 2,398,263 7,194,789

Collatz Trajectory (235 steps to reach 1)

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

7,194,789 21,584,368 10,792,184 5,396,092 2,698,046 1,349,023 4,047,070 2,023,535 6,070,606 3,035,303 9,105,910 4,552,955 13,658,866 6,829,433 20,488,300 10,244,150 5,122,075 15,366,226 7,683,113 23,049,340 11,524,670 5,762,335 17,287,006 8,643,503 25,930,510 12,965,255 38,895,766 19,447,883 58,343,650 29,171,825 87,515,476 43,757,738 21,878,869 65,636,608 32,818,304 16,409,152 8,204,576 4,102,288 2,051,144 1,025,572 512,786 256,393 769,180 384,590 192,295 576,886 288,443 865,330 432,665 1,297,996 648,998 324,499 973,498 486,749 1,460,248 730,124 365,062 182,531 547,594 273,797

More profiles

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