λ
Sequence Observatory

9,096,117

3 × 192 × 37 × 227
Deficient Odd Composite

Starting at 9,096,117, the Collatz iteration reaches 1 after 225 steps. The first transition is 27288352; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 19^2 × 37 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,203,936
Proper Divisor Sum 4,107,819
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9096107 ← → #9096127

Radix Representation

Decimal 9096117
Binary 100010101100101110110101 (24 bits)
Octal 0o42545665
Hexadecimal 0x8ACBB5

Divisor Catalog (24)

1 3 19 37 57 111 227 361 681 703 1,083 2,109 4,313 8,399 12,939 13,357 25,197 40,071 81,947 159,581 245,841 478,743 3,032,039 9,096,117

Collatz Trajectory (225 steps to reach 1)

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

9,096,117 27,288,352 13,644,176 6,822,088 3,411,044 1,705,522 852,761 2,558,284 1,279,142 639,571 1,918,714 959,357 2,878,072 1,439,036 719,518 359,759 1,079,278 539,639 1,618,918 809,459 2,428,378 1,214,189 3,642,568 1,821,284 910,642 455,321 1,365,964 682,982 341,491 1,024,474 512,237 1,536,712 768,356 384,178 192,089 576,268 288,134 144,067 432,202 216,101 648,304 324,152 162,076 81,038 40,519 121,558 60,779 182,338 91,169 273,508 136,754 68,377 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694

More profiles

← Previous Integer #9,096,116 Browse Full Index Next Integer #9,096,118 →