λ
Sequence Observatory

9,276,108

22 × 3 × 47 × 16447
Abundant Even Composite

Starting at 9,276,108, the Collatz iteration reaches 1 after 212 steps. The first transition is 4638054; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 16447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,106,112
Proper Divisor Sum 12,830,004
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9276097 ← → #9276119

Radix Representation

Decimal 9276108
Binary 100011011000101011001100 (24 bits)
Octal 0o43305314
Hexadecimal 0x8D8ACC

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 16,447 32,894 49,341 65,788 98,682 197,364 773,009 1,546,018 2,319,027 3,092,036 4,638,054 9,276,108

Collatz Trajectory (212 steps to reach 1)

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

9,276,108 4,638,054 2,319,027 6,957,082 3,478,541 10,435,624 5,217,812 2,608,906 1,304,453 3,913,360 1,956,680 978,340 489,170 244,585 733,756 366,878 183,439 550,318 275,159 825,478 412,739 1,238,218 619,109 1,857,328 928,664 464,332 232,166 116,083 348,250 174,125 522,376 261,188 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846

More profiles

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