λ
Sequence Observatory

9,741,391

11 × 17 × 113 × 461
Deficient Odd Composite

Starting at 9,741,391, the Collatz iteration reaches 1 after 225 steps. The first transition is 29224174; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 17 × 113 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,376,288
Proper Divisor Sum 1,634,897
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9741383 ← → #9741449

Radix Representation

Decimal 9741391
Binary 100101001010010001001111 (24 bits)
Octal 0o45122117
Hexadecimal 0x94A44F

Divisor Catalog (16)

1 11 17 113 187 461 1,243 1,921 5,071 7,837 21,131 52,093 86,207 573,023 885,581 9,741,391

Collatz Trajectory (225 steps to reach 1)

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

9,741,391 29,224,174 14,612,087 43,836,262 21,918,131 65,754,394 32,877,197 98,631,592 49,315,796 24,657,898 12,328,949 36,986,848 18,493,424 9,246,712 4,623,356 2,311,678 1,155,839 3,467,518 1,733,759 5,201,278 2,600,639 7,801,918 3,900,959 11,702,878 5,851,439 17,554,318 8,777,159 26,331,478 13,165,739 39,497,218 19,748,609 59,245,828 29,622,914 14,811,457 44,434,372 22,217,186 11,108,593 33,325,780 16,662,890 8,331,445 24,994,336 12,497,168 6,248,584 3,124,292 1,562,146 781,073 2,343,220 1,171,610 585,805 1,757,416 878,708 439,354 219,677 659,032 329,516 164,758 82,379 247,138 123,569 370,708

More profiles

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