λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,714,915

9,714,915

32 × 5 × 7 × 30841
Deficient Odd Composite

9,714,915 factors as 3^2 × 5 × 7 × 30841. Its 24 positive divisors give a proper-divisor sum of 9,530,493, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 30841
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,245,408
Proper Divisor Sum 9,530,493
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9714883 ← → #9714923

Radix Representation

Decimal 9714915
Binary 100101000011110011100011 (24 bits)
Octal 0o45036343
Hexadecimal 0x943CE3

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 30,841 92,523 154,205 215,887 277,569 462,615 647,661 1,079,435 1,387,845 1,942,983 3,238,305 9,714,915

Collatz Trajectory (101 steps to reach 1)

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

9,714,915 29,144,746 14,572,373 43,717,120 21,858,560 10,929,280 5,464,640 2,732,320 1,366,160 683,080 341,540 170,770 85,385 256,156 128,078 64,039 192,118 96,059 288,178 144,089 432,268 216,134 108,067 324,202 162,101 486,304 243,152 121,576 60,788 30,394 15,197 45,592 22,796 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,714,914 Browse Full Index Next Integer #9,714,916 →