λ
Prime Ledger

1,324,456

23 × 7 × 67 × 353
Abundant Even Composite

1,324,456 has the prime decomposition 2^3 × 7 × 67 × 353. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 67 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,888,640
Proper Divisor Sum 1,564,184
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1324451 ← → #1324457

Radix Representation

Decimal 1324456
Binary 101000011010110101000 (21 bits)
Octal 0o5032650
Hexadecimal 0x1435A8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 67 134 268 353 469 536 706 938 1,412 1,876 2,471 2,824 3,752 4,942 9,884 19,768 23,651 47,302 94,604 165,557 189,208 331,114 662,228 1,324,456

Collatz Trajectory (142 steps to reach 1)

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

1,324,456 662,228 331,114 165,557 496,672 248,336 124,168 62,084 31,042 15,521 46,564 23,282 11,641 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402

More profiles

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