λ
Harmonic Matrix

9,469,724

22 × 11 × 373 × 577
Deficient Even Composite

9,469,724 has digital root 5. The neighboring primes are 9469723 and 9469727; its proper-divisor sum differs from the starting integer by -781,000.

Prime Factor Structure

Factorization String 2^2 × 11 × 373 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,158,448
Proper Divisor Sum 8,688,724
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9469723 ← → #9469727

Radix Representation

Decimal 9469724
Binary 100100000111111100011100 (24 bits)
Octal 0o44077434
Hexadecimal 0x907F1C

Divisor Catalog (24)

1 2 4 11 22 44 373 577 746 1,154 1,492 2,308 4,103 6,347 8,206 12,694 16,412 25,388 215,221 430,442 860,884 2,367,431 4,734,862 9,469,724

Collatz Trajectory (88 steps to reach 1)

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

9,469,724 4,734,862 2,367,431 7,102,294 3,551,147 10,653,442 5,326,721 15,980,164 7,990,082 3,995,041 11,985,124 5,992,562 2,996,281 8,988,844 4,494,422 2,247,211 6,741,634 3,370,817 10,112,452 5,056,226 2,528,113 7,584,340 3,792,170 1,896,085 5,688,256 2,844,128 1,422,064 711,032 355,516 177,758 88,879 266,638 133,319 399,958 199,979 599,938 299,969 899,908 449,954 224,977 674,932 337,466 168,733 506,200 253,100 126,550 63,275 189,826 94,913 284,740 142,370 71,185 213,556 106,778 53,389 160,168 80,084 40,042 20,021 60,064

More profiles

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