λ
Sequence Observatory

9,826,011

32 × 13 × 83983
Deficient Odd Composite

Starting at 9,826,011, the Collatz iteration reaches 1 after 145 steps. The first transition is 29478034; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 83983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,285,088
Proper Divisor Sum 5,459,077
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9826001 ← → #9826013

Radix Representation

Decimal 9826011
Binary 100101011110111011011011 (24 bits)
Octal 0o45367333
Hexadecimal 0x95EEDB

Divisor Catalog (12)

1 3 9 13 39 117 83,983 251,949 755,847 1,091,779 3,275,337 9,826,011

Collatz Trajectory (145 steps to reach 1)

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

9,826,011 29,478,034 14,739,017 44,217,052 22,108,526 11,054,263 33,162,790 16,581,395 49,744,186 24,872,093 74,616,280 37,308,140 18,654,070 9,327,035 27,981,106 13,990,553 41,971,660 20,985,830 10,492,915 31,478,746 15,739,373 47,218,120 23,609,060 11,804,530 5,902,265 17,706,796 8,853,398 4,426,699 13,280,098 6,640,049 19,920,148 9,960,074 4,980,037 14,940,112 7,470,056 3,735,028 1,867,514 933,757 2,801,272 1,400,636 700,318 350,159 1,050,478 525,239 1,575,718 787,859 2,363,578 1,181,789 3,545,368 1,772,684 886,342 443,171 1,329,514 664,757 1,994,272 997,136 498,568 249,284 124,642 62,321

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