λ
Harmonic Matrix

9,471,272

23 × 19 × 62311
Deficient Even Composite

9,471,272 has digital root 5. The neighboring primes are 9471269 and 9471277; its proper-divisor sum differs from the starting integer by -248,944.

Prime Factor Structure

Factorization String 2^3 × 19 × 62311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,693,600
Proper Divisor Sum 9,222,328
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9471269 ← → #9471277

Radix Representation

Decimal 9471272
Binary 100100001000010100101000 (24 bits)
Octal 0o44102450
Hexadecimal 0x908528

Divisor Catalog (16)

1 2 4 8 19 38 76 152 62,311 124,622 249,244 498,488 1,183,909 2,367,818 4,735,636 9,471,272

Collatz Trajectory (88 steps to reach 1)

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

9,471,272 4,735,636 2,367,818 1,183,909 3,551,728 1,775,864 887,932 443,966 221,983 665,950 332,975 998,926 499,463 1,498,390 749,195 2,247,586 1,123,793 3,371,380 1,685,690 842,845 2,528,536 1,264,268 632,134 316,067 948,202 474,101 1,422,304 711,152 355,576 177,788 88,894 44,447 133,342 66,671 200,014 100,007 300,022 150,011 450,034 225,017 675,052 337,526 168,763 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074

More profiles

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