λ
Harmonic Matrix

9,356,972

22 × 43 × 54401
Deficient Even Composite

9,356,972 has digital root 5. The neighboring primes are 9356951 and 9356981; its proper-divisor sum differs from the starting integer by -1,958,128.

Prime Factor Structure

Factorization String 2^2 × 43 × 54401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,755,816
Proper Divisor Sum 7,398,844
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9356951 ← → #9356981

Radix Representation

Decimal 9356972
Binary 100011101100011010101100 (24 bits)
Octal 0o43543254
Hexadecimal 0x8EC6AC

Divisor Catalog (12)

1 2 4 43 86 172 54,401 108,802 217,604 2,339,243 4,678,486 9,356,972

Collatz Trajectory (181 steps to reach 1)

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

9,356,972 4,678,486 2,339,243 7,017,730 3,508,865 10,526,596 5,263,298 2,631,649 7,894,948 3,947,474 1,973,737 5,921,212 2,960,606 1,480,303 4,440,910 2,220,455 6,661,366 3,330,683 9,992,050 4,996,025 14,988,076 7,494,038 3,747,019 11,241,058 5,620,529 16,861,588 8,430,794 4,215,397 12,646,192 6,323,096 3,161,548 1,580,774 790,387 2,371,162 1,185,581 3,556,744 1,778,372 889,186 444,593 1,333,780 666,890 333,445 1,000,336 500,168 250,084 125,042 62,521 187,564 93,782 46,891 140,674 70,337 211,012 105,506 52,753 158,260 79,130 39,565 118,696 59,348

More profiles

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