λ
Sequence Observatory

8,117,561

8117561
Deficient Odd Prime

Starting at 8,117,561, the Collatz iteration reaches 1 after 199 steps. The first transition is 24352684; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8117561
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,117,562
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8117537 ← → #8117569

Radix Representation

Decimal 8117561
Binary 11110111101110100111001 (23 bits)
Octal 0o36756471
Hexadecimal 0x7BDD39

Divisor Catalog (2)

1 8,117,561

Collatz Trajectory (199 steps to reach 1)

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

8,117,561 24,352,684 12,176,342 6,088,171 18,264,514 9,132,257 27,396,772 13,698,386 6,849,193 20,547,580 10,273,790 5,136,895 15,410,686 7,705,343 23,116,030 11,558,015 34,674,046 17,337,023 52,011,070 26,005,535 78,016,606 39,008,303 117,024,910 58,512,455 175,537,366 87,768,683 263,306,050 131,653,025 394,959,076 197,479,538 98,739,769 296,219,308 148,109,654 74,054,827 222,164,482 111,082,241 333,246,724 166,623,362 83,311,681 249,935,044 124,967,522 62,483,761 187,451,284 93,725,642 46,862,821 140,588,464 70,294,232 35,147,116 17,573,558 8,786,779 26,360,338 13,180,169 39,540,508 19,770,254 9,885,127 29,655,382 14,827,691 44,483,074 22,241,537 66,724,612

More profiles

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