λ
Sequence Observatory

9,615,893

7 × 37 × 137 × 271
Deficient Odd Composite

Starting at 9,615,893, the Collatz iteration reaches 1 after 132 steps. The first transition is 28847680; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 37 × 137 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,410,944
Proper Divisor Sum 1,795,051
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9615889 ← → #9615911

Radix Representation

Decimal 9615893
Binary 100100101011101000010101 (24 bits)
Octal 0o44535025
Hexadecimal 0x92BA15

Divisor Catalog (16)

1 7 37 137 259 271 959 1,897 5,069 10,027 35,483 37,127 70,189 259,889 1,373,699 9,615,893

Collatz Trajectory (132 steps to reach 1)

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

9,615,893 28,847,680 14,423,840 7,211,920 3,605,960 1,802,980 901,490 450,745 1,352,236 676,118 338,059 1,014,178 507,089 1,521,268 760,634 380,317 1,140,952 570,476 285,238 142,619 427,858 213,929 641,788 320,894 160,447 481,342 240,671 722,014 361,007 1,083,022 541,511 1,624,534 812,267 2,436,802 1,218,401 3,655,204 1,827,602 913,801 2,741,404 1,370,702 685,351 2,056,054 1,028,027 3,084,082 1,542,041 4,626,124 2,313,062 1,156,531 3,469,594 1,734,797 5,204,392 2,602,196 1,301,098 650,549 1,951,648 975,824 487,912 243,956 121,978 60,989

More profiles

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