λ
Sigma Notebook

9,911,715

3 × 5 × 112 × 43 × 127
Deficient Odd Composite

9,911,715 is odd and not a perfect square. Its factorization is 3 × 5 × 11^2 × 43 × 127 and its 48 divisors sum to 17,977,344.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 43 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,977,344
Proper Divisor Sum 8,065,629
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9911701 ← → #9911717

Radix Representation

Decimal 9911715
Binary 100101110011110110100011 (24 bits)
Octal 0o45636643
Hexadecimal 0x973DA3

Divisor Catalog (48)

1 3 5 11 15 33 43 55 121 127 129 165 215 363 381 473 605 635 645 1,397 1,419 1,815 1,905 2,365 4,191 5,203 5,461 6,985 7,095 15,367 15,609 16,383 20,955 26,015 27,305 46,101 60,071 76,835 78,045 81,915 180,213 230,505 300,355 660,781 901,065 1,982,343 3,303,905 9,911,715

Collatz Trajectory (83 steps to reach 1)

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

9,911,715 29,735,146 14,867,573 44,602,720 22,301,360 11,150,680 5,575,340 2,787,670 1,393,835 4,181,506 2,090,753 6,272,260 3,136,130 1,568,065 4,704,196 2,352,098 1,176,049 3,528,148 1,764,074 882,037 2,646,112 1,323,056 661,528 330,764 165,382 82,691 248,074 124,037 372,112 186,056 93,028 46,514 23,257 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49

More profiles

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