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Atlas › Integer Profiles › Node 2,966,432

2,966,432

25 × 7 × 17 × 19 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 19 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 7,620,480
Proper Divisor Sum 4,654,048
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2966419 ← → #2966479

Radix Representation

Decimal 2966432
Binary 1011010100001110100000 (22 bits)
Octal 0o13241640
Hexadecimal 0x2D43A0

Divisor Catalog (60 of 96)

1 2 4 7 8 14 16 17 19 28 32 34 38 41 56 68 76 82 112 119 133 136 152 164 224 238 266 272 287 304 323 328 476 532 544 574 608 646 656 697 779 952 1,064 1,148 1,292 1,312 1,394 1,558 1,904 2,128 2,261 2,296 2,584 2,788 3,116 3,808 4,256 4,522 4,592 4,879

Collatz Trajectory (63 steps to reach 1)

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

2,966,432 1,483,216 741,608 370,804 185,402 92,701 278,104 139,052 69,526 34,763 104,290 52,145 156,436 78,218 39,109 117,328 58,664 29,332 14,666 7,333 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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