λ
Sequence Observatory

1,321,418

2 × 7 × 37 × 2551
Deficient Even Composite

Starting at 1,321,418, the Collatz iteration reaches 1 after 67 steps. The first transition is 660709; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 2551
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,327,424
Proper Divisor Sum 1,006,006
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1321417 ← → #1321421

Radix Representation

Decimal 1321418
Binary 101000010100111001010 (21 bits)
Octal 0o5024712
Hexadecimal 0x1429CA

Divisor Catalog (16)

1 2 7 14 37 74 259 518 2,551 5,102 17,857 35,714 94,387 188,774 660,709 1,321,418

Collatz Trajectory (67 steps to reach 1)

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

1,321,418 660,709 1,982,128 991,064 495,532 247,766 123,883 371,650 185,825 557,476 278,738 139,369 418,108 209,054 104,527 313,582 156,791 470,374 235,187 705,562 352,781 1,058,344 529,172 264,586 132,293 396,880 198,440 99,220 49,610 24,805 74,416 37,208 18,604 9,302 4,651 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40

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