4,406,823

3² × 23 × 61 × 349

Starting at 4,406,823, the Collatz iteration reaches 1 after 74 steps. The first transition is 13220470; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 61 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,770,400

Proper Divisor Sum 2,363,577

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4406821 ← → #4406827

Radix Representation

Decimal	4406823
Binary	10000110011111000100111 (23 bits)
Octal	0o20637047
Hexadecimal	0x433E27

Divisor Catalog (24)

1 3 9 23 61 69 183 207 349 549 1,047 1,403 3,141 4,209 8,027 12,627 21,289 24,081 63,867 72,243 191,601 489,647 1,468,941 4,406,823

Collatz Trajectory (74 steps to reach 1)

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

4,406,823 13,220,470 6,610,235 19,830,706 9,915,353 29,746,060 14,873,030 7,436,515 22,309,546 11,154,773 33,464,320 16,732,160 8,366,080 4,183,040 2,091,520 1,045,760 522,880 261,440 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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