1,753,659

3² × 29 × 6719

Starting at 1,753,659, the Collatz iteration reaches 1 after 145 steps. The first transition is 5260978; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 6719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,620,800

Proper Divisor Sum 867,141

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1753651 ← → #1753673

Radix Representation

Decimal	1753659
Binary	110101100001000111011 (21 bits)
Octal	0o6541073
Hexadecimal	0x1AC23B

Divisor Catalog (12)

1 3 9 29 87 261 6,719 20,157 60,471 194,851 584,553 1,753,659

Collatz Trajectory (145 steps to reach 1)

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

1,753,659 5,260,978 2,630,489 7,891,468 3,945,734 1,972,867 5,918,602 2,959,301 8,877,904 4,438,952 2,219,476 1,109,738 554,869 1,664,608 832,304 416,152 208,076 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310

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