λ
Sequence Observatory

1,401,330

2 × 3 × 5 × 7 × 6673
Abundant Even Composite

Starting at 1,401,330, the Collatz iteration reaches 1 after 129 steps. The first transition is 700665; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 6673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,844,224
Proper Divisor Sum 2,442,894
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1401319 ← → #1401349

Radix Representation

Decimal 1401330
Binary 101010110000111110010 (21 bits)
Octal 0o5260762
Hexadecimal 0x1561F2

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 6,673 13,346 20,019 33,365 40,038 46,711 66,730 93,422 100,095 140,133 200,190 233,555 280,266 467,110 700,665 1,401,330

Collatz Trajectory (129 steps to reach 1)

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

1,401,330 700,665 2,101,996 1,050,998 525,499 1,576,498 788,249 2,364,748 1,182,374 591,187 1,773,562 886,781 2,660,344 1,330,172 665,086 332,543 997,630 498,815 1,496,446 748,223 2,244,670 1,122,335 3,367,006 1,683,503 5,050,510 2,525,255 7,575,766 3,787,883 11,363,650 5,681,825 17,045,476 8,522,738 4,261,369 12,784,108 6,392,054 3,196,027 9,588,082 4,794,041 14,382,124 7,191,062 3,595,531 10,786,594 5,393,297 16,179,892 8,089,946 4,044,973 12,134,920 6,067,460 3,033,730 1,516,865 4,550,596 2,275,298 1,137,649 3,412,948 1,706,474 853,237 2,559,712 1,279,856 639,928 319,964

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