λ
Sequence Observatory

1,323,378

2 × 35 × 7 × 389
Abundant Even Composite

Starting at 1,323,378, the Collatz iteration reaches 1 after 124 steps. The first transition is 661689; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,407,040
Proper Divisor Sum 2,083,662
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1323373 ← → #1323389

Radix Representation

Decimal 1323378
Binary 101000011000101110010 (21 bits)
Octal 0o5030562
Hexadecimal 0x143172

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 389 486 567 778 1,134 1,167 1,701 2,334 2,723 3,402 3,501 5,446 7,002 8,169 10,503 16,338 21,006 24,507 31,509 49,014 63,018 73,521 94,527 147,042 189,054 220,563 441,126 661,689 1,323,378

Collatz Trajectory (124 steps to reach 1)

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

1,323,378 661,689 1,985,068 992,534 496,267 1,488,802 744,401 2,233,204 1,116,602 558,301 1,674,904 837,452 418,726 209,363 628,090 314,045 942,136 471,068 235,534 117,767 353,302 176,651 529,954 264,977 794,932 397,466 198,733 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396

More profiles

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