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Atlas › Integer Profiles › Node 5,377,216

5,377,216

26 × 13 × 23 × 281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 13 × 23 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,033,504
Proper Divisor Sum 6,656,288
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5377187 ← → #5377231

Radix Representation

Decimal 5377216
Binary 10100100000110011000000 (23 bits)
Octal 0o24406300
Hexadecimal 0x520CC0

Divisor Catalog (56)

1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 281 299 368 416 562 598 736 832 1,124 1,196 1,472 2,248 2,392 3,653 4,496 4,784 6,463 7,306 8,992 9,568 12,926 14,612 17,984 19,136 25,852 29,224 51,704 58,448 84,019 103,408 116,896 168,038 206,816 233,792 336,076 413,632 672,152 1,344,304 2,688,608 5,377,216

Collatz Trajectory (113 steps to reach 1)

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

5,377,216 2,688,608 1,344,304 672,152 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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