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7,307,976

23 × 3 × 13 × 59 × 397
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 59 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,059,200
Proper Divisor Sum 12,751,224
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7307969 ← → #7307987

Radix Representation

Decimal 7307976
Binary 11011111000001011001000 (23 bits)
Octal 0o33701310
Hexadecimal 0x6F82C8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 397 472 708 767 794 1,191 1,416 1,534 1,588 2,301 2,382 3,068 3,176 4,602 4,764 5,161 6,136 9,204 9,528 10,322 15,483 18,408 20,644 23,423 30,966 41,288 46,846 61,932 70,269 93,692 123,864 140,538 187,384 281,076 304,499 562,152 608,998 913,497 1,217,996

Collatz Trajectory (67 steps to reach 1)

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

7,307,976 3,653,988 1,826,994 913,497 2,740,492 1,370,246 685,123 2,055,370 1,027,685 3,083,056 1,541,528 770,764 385,382 192,691 578,074 289,037 867,112 433,556 216,778 108,389 325,168 162,584 81,292 40,646 20,323 60,970 30,485 91,456 45,728 22,864 11,432 5,716 2,858 1,429 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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