λ
Sequence Observatory

4,236,011

13 × 499 × 653
Deficient Odd Composite

Starting at 4,236,011, the Collatz iteration reaches 1 after 273 steps. The first transition is 12708034; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 499 × 653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,578,000
Proper Divisor Sum 341,989
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4235999 ← → #4236049

Radix Representation

Decimal 4236011
Binary 10000001010001011101011 (23 bits)
Octal 0o20121353
Hexadecimal 0x40A2EB

Divisor Catalog (8)

1 13 499 653 6,487 8,489 325,847 4,236,011

Collatz Trajectory (273 steps to reach 1)

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

4,236,011 12,708,034 6,354,017 19,062,052 9,531,026 4,765,513 14,296,540 7,148,270 3,574,135 10,722,406 5,361,203 16,083,610 8,041,805 24,125,416 12,062,708 6,031,354 3,015,677 9,047,032 4,523,516 2,261,758 1,130,879 3,392,638 1,696,319 5,088,958 2,544,479 7,633,438 3,816,719 11,450,158 5,725,079 17,175,238 8,587,619 25,762,858 12,881,429 38,644,288 19,322,144 9,661,072 4,830,536 2,415,268 1,207,634 603,817 1,811,452 905,726 452,863 1,358,590 679,295 2,037,886 1,018,943 3,056,830 1,528,415 4,585,246 2,292,623 6,877,870 3,438,935 10,316,806 5,158,403 15,475,210 7,737,605 23,212,816 11,606,408 5,803,204

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