8,822,749

13 × 41 × 16553

Starting at 8,822,749, the Collatz iteration reaches 1 after 150 steps. The first transition is 26468248; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 41 × 16553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,733,752

Proper Divisor Sum 911,003

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8822743 ← → #8822767

Radix Representation

Decimal	8822749
Binary	100001101001111111011101 (24 bits)
Octal	0o41517735
Hexadecimal	0x869FDD

Divisor Catalog (8)

1 13 41 533 16,553 215,189 678,673 8,822,749

Collatz Trajectory (150 steps to reach 1)

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

8,822,749 26,468,248 13,234,124 6,617,062 3,308,531 9,925,594 4,962,797 14,888,392 7,444,196 3,722,098 1,861,049 5,583,148 2,791,574 1,395,787 4,187,362 2,093,681 6,281,044 3,140,522 1,570,261 4,710,784 2,355,392 1,177,696 588,848 294,424 147,212 73,606 36,803 110,410 55,205 165,616 82,808 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966

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