λ
Sequence Observatory

9,736,113

3 × 19 × 170809
Deficient Odd Composite

Starting at 9,736,113, the Collatz iteration reaches 1 after 70 steps. The first transition is 29208340; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 170809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,664,800
Proper Divisor Sum 3,928,687
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9736109 ← → #9736117

Radix Representation

Decimal 9736113
Binary 100101001000111110110001 (24 bits)
Octal 0o45107661
Hexadecimal 0x948FB1

Divisor Catalog (8)

1 3 19 57 170,809 512,427 3,245,371 9,736,113

Collatz Trajectory (70 steps to reach 1)

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

9,736,113 29,208,340 14,604,170 7,302,085 21,906,256 10,953,128 5,476,564 2,738,282 1,369,141 4,107,424 2,053,712 1,026,856 513,428 256,714 128,357 385,072 192,536 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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