λ
Integer Codex

1,324,176

24 × 3 × 72 × 563
Abundant Even Composite

For 1,324,176, the 60 positive divisors have a total of 3,986,352. Removing 1,324,176 leaves 2,662,176, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 3,986,352
Proper Divisor Sum 2,662,176
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1324171 ← → #1324187

Radix Representation

Decimal 1324176
Binary 101000011010010010000 (21 bits)
Octal 0o5032220
Hexadecimal 0x143490

Divisor Catalog (60)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 563 588 784 1,126 1,176 1,689 2,252 2,352 3,378 3,941 4,504 6,756 7,882 9,008 11,823 13,512 15,764 23,646 27,024 27,587 31,528 47,292 55,174 63,056 82,761 94,584 110,348 165,522 189,168 220,696 331,044 441,392 662,088 1,324,176

Collatz Trajectory (155 steps to reach 1)

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

1,324,176 662,088 331,044 165,522 82,761 248,284 124,142 62,071 186,214 93,107 279,322 139,661 418,984 209,492 104,746 52,373 157,120 78,560 39,280 19,640 9,820 4,910 2,455 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

More profiles

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