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Atlas › Integer Profiles › Node 2,963,376

2,963,376

24 × 32 × 13 × 1583
Abundant Even Composite

2,963,376 factors as 2^4 × 3^2 × 13 × 1583. Its 60 positive divisors give a proper-divisor sum of 5,973,552, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,936,928
Proper Divisor Sum 5,973,552
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2963371 ← → #2963377

Radix Representation

Decimal 2963376
Binary 1011010011011110110000 (22 bits)
Octal 0o13233660
Hexadecimal 0x2D37B0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,583 1,872 3,166 4,749 6,332 9,498 12,664 14,247 18,996 20,579 25,328 28,494 37,992 41,158 56,988 61,737 75,984 82,316 113,976 123,474 164,632 185,211 227,952 246,948 329,264 370,422 493,896 740,844 987,792 1,481,688 2,963,376

Collatz Trajectory (182 steps to reach 1)

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

2,963,376 1,481,688 740,844 370,422 185,211 555,634 277,817 833,452 416,726 208,363 625,090 312,545 937,636 468,818 234,409 703,228 351,614 175,807 527,422 263,711 791,134 395,567 1,186,702 593,351 1,780,054 890,027 2,670,082 1,335,041 4,005,124 2,002,562 1,001,281 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133

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