9,746,913

3 × 11³ × 2441

9,746,913 is odd and not a perfect square. Its factorization is 3 × 11^3 × 2441 and its 16 divisors sum to 14,300,352.

Prime Factor Structure

Factorization String 3 × 11^3 × 2441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,300,352

Proper Divisor Sum 4,553,439

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9746909 ← → #9746983

Radix Representation

Decimal	9746913
Binary	100101001011100111100001 (24 bits)
Octal	0o45134741
Hexadecimal	0x94B9E1

Divisor Catalog (16)

1 3 11 33 121 363 1,331 2,441 3,993 7,323 26,851 80,553 295,361 886,083 3,248,971 9,746,913

Collatz Trajectory (163 steps to reach 1)

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

9,746,913 29,240,740 14,620,370 7,310,185 21,930,556 10,965,278 5,482,639 16,447,918 8,223,959 24,671,878 12,335,939 37,007,818 18,503,909 55,511,728 27,755,864 13,877,932 6,938,966 3,469,483 10,408,450 5,204,225 15,612,676 7,806,338 3,903,169 11,709,508 5,854,754 2,927,377 8,782,132 4,391,066 2,195,533 6,586,600 3,293,300 1,646,650 823,325 2,469,976 1,234,988 617,494 308,747 926,242 463,121 1,389,364 694,682 347,341 1,042,024 521,012 260,506 130,253 390,760 195,380 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304

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