λ
Harmonic Matrix

9,574,796

22 × 72 × 11 × 4441
Abundant Even Composite

9,574,796 has digital root 2. The neighboring primes are 9574787 and 9574801; its proper-divisor sum differs from the starting integer by 2,118,704.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 4441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,268,296
Proper Divisor Sum 11,693,500
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9574787 ← → #9574801

Radix Representation

Decimal 9574796
Binary 100100100001100110001100 (24 bits)
Octal 0o44414614
Hexadecimal 0x92198C

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1,078 2,156 4,441 8,882 17,764 31,087 48,851 62,174 97,702 124,348 195,404 217,609 341,957 435,218 683,914 870,436 1,367,828 2,393,699 4,787,398 9,574,796

Collatz Trajectory (119 steps to reach 1)

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

9,574,796 4,787,398 2,393,699 7,181,098 3,590,549 10,771,648 5,385,824 2,692,912 1,346,456 673,228 336,614 168,307 504,922 252,461 757,384 378,692 189,346 94,673 284,020 142,010 71,005 213,016 106,508 53,254 26,627 79,882 39,941 119,824 59,912 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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