4,780,431

3³ × 101 × 1753

Starting at 4,780,431, the Collatz iteration reaches 1 after 193 steps. The first transition is 14341294; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 101 × 1753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,156,320

Proper Divisor Sum 2,375,889

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4780429 ← → #4780453

Radix Representation

Decimal	4780431
Binary	10010001111000110001111 (23 bits)
Octal	0o22170617
Hexadecimal	0x48F18F

Divisor Catalog (16)

1 3 9 27 101 303 909 1,753 2,727 5,259 15,777 47,331 177,053 531,159 1,593,477 4,780,431

Collatz Trajectory (193 steps to reach 1)

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

4,780,431 14,341,294 7,170,647 21,511,942 10,755,971 32,267,914 16,133,957 48,401,872 24,200,936 12,100,468 6,050,234 3,025,117 9,075,352 4,537,676 2,268,838 1,134,419 3,403,258 1,701,629 5,104,888 2,552,444 1,276,222 638,111 1,914,334 957,167 2,871,502 1,435,751 4,307,254 2,153,627 6,460,882 3,230,441 9,691,324 4,845,662 2,422,831 7,268,494 3,634,247 10,902,742 5,451,371 16,354,114 8,177,057 24,531,172 12,265,586 6,132,793 18,398,380 9,199,190 4,599,595 13,798,786 6,899,393 20,698,180 10,349,090 5,174,545 15,523,636 7,761,818 3,880,909 11,642,728 5,821,364 2,910,682 1,455,341 4,366,024 2,183,012 1,091,506

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