λ
Sequence Observatory

9,897,460

22 × 5 × 494873
Abundant Even Composite

Starting at 9,897,460, the Collatz iteration reaches 1 after 207 steps. The first transition is 4948730; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 494873
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,784,708
Proper Divisor Sum 10,887,248
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9897457 ← → #9897467

Radix Representation

Decimal 9897460
Binary 100101110000010111110100 (24 bits)
Octal 0o45602764
Hexadecimal 0x9705F4

Divisor Catalog (12)

1 2 4 5 10 20 494,873 989,746 1,979,492 2,474,365 4,948,730 9,897,460

Collatz Trajectory (207 steps to reach 1)

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

9,897,460 4,948,730 2,474,365 7,423,096 3,711,548 1,855,774 927,887 2,783,662 1,391,831 4,175,494 2,087,747 6,263,242 3,131,621 9,394,864 4,697,432 2,348,716 1,174,358 587,179 1,761,538 880,769 2,642,308 1,321,154 660,577 1,981,732 990,866 495,433 1,486,300 743,150 371,575 1,114,726 557,363 1,672,090 836,045 2,508,136 1,254,068 627,034 313,517 940,552 470,276 235,138 117,569 352,708 176,354 88,177 264,532 132,266 66,133 198,400 99,200 49,600 24,800 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745

More profiles

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