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Atlas › Integer Profiles › Node 2,967,536

2,967,536

24 × 11 × 13 × 1297
Abundant Even Composite

2,967,536 factors as 2^4 × 11 × 13 × 1297. Its 40 positive divisors give a proper-divisor sum of 3,792,448, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,759,984
Proper Divisor Sum 3,792,448
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2967509 ← → #2967551

Radix Representation

Decimal 2967536
Binary 1011010100011111110000 (22 bits)
Octal 0o13243760
Hexadecimal 0x2D47F0

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1,144 1,297 2,288 2,594 5,188 10,376 14,267 16,861 20,752 28,534 33,722 57,068 67,444 114,136 134,888 185,471 228,272 269,776 370,942 741,884 1,483,768 2,967,536

Collatz Trajectory (182 steps to reach 1)

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

2,967,536 1,483,768 741,884 370,942 185,471 556,414 278,207 834,622 417,311 1,251,934 625,967 1,877,902 938,951 2,816,854 1,408,427 4,225,282 2,112,641 6,337,924 3,168,962 1,584,481 4,753,444 2,376,722 1,188,361 3,565,084 1,782,542 891,271 2,673,814 1,336,907 4,010,722 2,005,361 6,016,084 3,008,042 1,504,021 4,512,064 2,256,032 1,128,016 564,008 282,004 141,002 70,501 211,504 105,752 52,876 26,438 13,219 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523

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