λ
Integer Codex

1,323,294

2 × 3 × 73 × 643
Abundant Even Composite

For 1,323,294, the 32 positive divisors have a total of 3,091,200. Removing 1,323,294 leaves 1,767,906, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,091,200
Proper Divisor Sum 1,767,906
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1323281 ← → #1323307

Radix Representation

Decimal 1323294
Binary 101000011000100011110 (21 bits)
Octal 0o5030436
Hexadecimal 0x14311E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 49 98 147 294 343 643 686 1,029 1,286 1,929 2,058 3,858 4,501 9,002 13,503 27,006 31,507 63,014 94,521 189,042 220,549 441,098 661,647 1,323,294

Collatz Trajectory (124 steps to reach 1)

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

1,323,294 661,647 1,984,942 992,471 2,977,414 1,488,707 4,466,122 2,233,061 6,699,184 3,349,592 1,674,796 837,398 418,699 1,256,098 628,049 1,884,148 942,074 471,037 1,413,112 706,556 353,278 176,639 529,918 264,959 794,878 397,439 1,192,318 596,159 1,788,478 894,239 2,682,718 1,341,359 4,024,078 2,012,039 6,036,118 3,018,059 9,054,178 4,527,089 13,581,268 6,790,634 3,395,317 10,185,952 5,092,976 2,546,488 1,273,244 636,622 318,311 954,934 477,467 1,432,402 716,201 2,148,604 1,074,302 537,151 1,611,454 805,727 2,417,182 1,208,591 3,625,774 1,812,887

More profiles

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