λ
Harmonic Matrix

9,952,396

22 × 2488099
Deficient Even Composite

9,952,396 has digital root 7. The neighboring primes are 9952367 and 9952403; its proper-divisor sum differs from the starting integer by -2,488,092.

Prime Factor Structure

Factorization String 2^2 × 2488099
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 17,416,700
Proper Divisor Sum 7,464,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9952367 ← → #9952403

Radix Representation

Decimal 9952396
Binary 100101111101110010001100 (24 bits)
Octal 0o45756214
Hexadecimal 0x97DC8C

Divisor Catalog (6)

1 2 4 2,488,099 4,976,198 9,952,396

Collatz Trajectory (251 steps to reach 1)

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

9,952,396 4,976,198 2,488,099 7,464,298 3,732,149 11,196,448 5,598,224 2,799,112 1,399,556 699,778 349,889 1,049,668 524,834 262,417 787,252 393,626 196,813 590,440 295,220 147,610 73,805 221,416 110,708 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525

More profiles

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