λ
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Atlas › Integer Profiles › Node 9,518,790

9,518,790

2 × 3 × 5 × 181 × 1753
Abundant Even Composite

Starting at 9,518,790, the Collatz iteration reaches 1 after 70 steps. The first transition is 4759395; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 181 × 1753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,984,416
Proper Divisor Sum 13,465,626
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9518779 ← → #9518797

Radix Representation

Decimal 9518790
Binary 100100010011111011000110 (24 bits)
Octal 0o44237306
Hexadecimal 0x913EC6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 181 362 543 905 1,086 1,753 1,810 2,715 3,506 5,259 5,430 8,765 10,518 17,530 26,295 52,590 317,293 634,586 951,879 1,586,465 1,903,758 3,172,930 4,759,395 9,518,790

Collatz Trajectory (70 steps to reach 1)

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

9,518,790 4,759,395 14,278,186 7,139,093 21,417,280 10,708,640 5,354,320 2,677,160 1,338,580 669,290 334,645 1,003,936 501,968 250,984 125,492 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

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