4,561,773

3 × 47 × 32353

Starting at 4,561,773, the Collatz iteration reaches 1 after 224 steps. The first transition is 13685320; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 32353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,211,968

Proper Divisor Sum 1,650,195

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4561769 ← → #4561789

Radix Representation

Decimal	4561773
Binary	10001011001101101101101 (23 bits)
Octal	0o21315555
Hexadecimal	0x459B6D

Divisor Catalog (8)

1 3 47 141 32,353 97,059 1,520,591 4,561,773

Collatz Trajectory (224 steps to reach 1)

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

4,561,773 13,685,320 6,842,660 3,421,330 1,710,665 5,131,996 2,565,998 1,282,999 3,848,998 1,924,499 5,773,498 2,886,749 8,660,248 4,330,124 2,165,062 1,082,531 3,247,594 1,623,797 4,871,392 2,435,696 1,217,848 608,924 304,462 152,231 456,694 228,347 685,042 342,521 1,027,564 513,782 256,891 770,674 385,337 1,156,012 578,006 289,003 867,010 433,505 1,300,516 650,258 325,129 975,388 487,694 243,847 731,542 365,771 1,097,314 548,657 1,645,972 822,986 411,493 1,234,480 617,240 308,620 154,310 77,155 231,466 115,733 347,200 173,600

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