λ
Harmonic Matrix

9,794,530

2 × 5 × 821 × 1193
Deficient Even Composite

9,794,530 has digital root 1. The neighboring primes are 9794503 and 9794569; its proper-divisor sum differs from the starting integer by -1,922,636.

Prime Factor Structure

Factorization String 2 × 5 × 821 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,666,424
Proper Divisor Sum 7,871,894
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9794503 ← → #9794569

Radix Representation

Decimal 9794530
Binary 100101010111001111100010 (24 bits)
Octal 0o45271742
Hexadecimal 0x9573E2

Divisor Catalog (16)

1 2 5 10 821 1,193 1,642 2,386 4,105 5,965 8,210 11,930 979,453 1,958,906 4,897,265 9,794,530

Collatz Trajectory (114 steps to reach 1)

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

9,794,530 4,897,265 14,691,796 7,345,898 3,672,949 11,018,848 5,509,424 2,754,712 1,377,356 688,678 344,339 1,033,018 516,509 1,549,528 774,764 387,382 193,691 581,074 290,537 871,612 435,806 217,903 653,710 326,855 980,566 490,283 1,470,850 735,425 2,206,276 1,103,138 551,569 1,654,708 827,354 413,677 1,241,032 620,516 310,258 155,129 465,388 232,694 116,347 349,042 174,521 523,564 261,782 130,891 392,674 196,337 589,012 294,506 147,253 441,760 220,880 110,440 55,220 27,610 13,805 41,416 20,708 10,354

More profiles

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