λ
Harmonic Matrix

9,726,470

2 × 5 × 13 × 23 × 3253
Abundant Even Composite

9,726,470 has digital root 8. The neighboring primes are 9726469 and 9726473; its proper-divisor sum differs from the starting integer by 227,252.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 3253
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,680,192
Proper Divisor Sum 9,953,722
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9726469 ← → #9726473

Radix Representation

Decimal 9726470
Binary 100101000110101000000110 (24 bits)
Octal 0o45065006
Hexadecimal 0x946A06

Divisor Catalog (32)

1 2 5 10 13 23 26 46 65 115 130 230 299 598 1,495 2,990 3,253 6,506 16,265 32,530 42,289 74,819 84,578 149,638 211,445 374,095 422,890 748,190 972,647 1,945,294 4,863,235 9,726,470

Collatz Trajectory (101 steps to reach 1)

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

9,726,470 4,863,235 14,589,706 7,294,853 21,884,560 10,942,280 5,471,140 2,735,570 1,367,785 4,103,356 2,051,678 1,025,839 3,077,518 1,538,759 4,616,278 2,308,139 6,924,418 3,462,209 10,386,628 5,193,314 2,596,657 7,789,972 3,894,986 1,947,493 5,842,480 2,921,240 1,460,620 730,310 365,155 1,095,466 547,733 1,643,200 821,600 410,800 205,400 102,700 51,350 25,675 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287

More profiles

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