9,833,006

2 × 23 × 181 × 1181

Starting at 9,833,006, the Collatz iteration reaches 1 after 88 steps. The first transition is 4916503; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 181 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,488,928

Proper Divisor Sum 5,655,922

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9832981 ← → #9833039

Radix Representation

Decimal	9833006
Binary	100101100000101000101110 (24 bits)
Octal	0o45405056
Hexadecimal	0x960A2E

Divisor Catalog (16)

1 2 23 46 181 362 1,181 2,362 4,163 8,326 27,163 54,326 213,761 427,522 4,916,503 9,833,006

Collatz Trajectory (88 steps to reach 1)

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

9,833,006 4,916,503 14,749,510 7,374,755 22,124,266 11,062,133 33,186,400 16,593,200 8,296,600 4,148,300 2,074,150 1,037,075 3,111,226 1,555,613 4,666,840 2,333,420 1,166,710 583,355 1,750,066 875,033 2,625,100 1,312,550 656,275 1,968,826 984,413 2,953,240 1,476,620 738,310 369,155 1,107,466 553,733 1,661,200 830,600 415,300 207,650 103,825 311,476 155,738 77,869 233,608 116,804 58,402 29,201 87,604 43,802 21,901 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289

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