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Atlas › Integer Profiles › Node 4,134,096

4,134,096

24 × 32 × 19 × 1511
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 19 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,186,720
Proper Divisor Sum 8,052,624
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4134061 ← → #4134107

Radix Representation

Decimal 4134096
Binary 1111110001010011010000 (22 bits)
Octal 0o17612320
Hexadecimal 0x3F14D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1,368 1,511 2,736 3,022 4,533 6,044 9,066 12,088 13,599 18,132 24,176 27,198 28,709 36,264 54,396 57,418 72,528 86,127 108,792 114,836 172,254 217,584 229,672 258,381 344,508 459,344 516,762 689,016 1,033,524 1,378,032 2,067,048 4,134,096

Collatz Trajectory (110 steps to reach 1)

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

4,134,096 2,067,048 1,033,524 516,762 258,381 775,144 387,572 193,786 96,893 290,680 145,340 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917 785,752 392,876 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888 52,444 26,222

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