5,798,584

2³ × 11 × 131 × 503

5,798,584 has digital root 1. The neighboring primes are 5798567 and 5798621; its proper-divisor sum differs from the starting integer by 377,872.

Prime Factor Structure

Factorization String 2^3 × 11 × 131 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,975,040

Proper Divisor Sum 6,176,456

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #5798567 ← → #5798621

Radix Representation

Decimal	5798584
Binary	10110000111101010111000 (23 bits)
Octal	0o26075270
Hexadecimal	0x587AB8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 131 262 503 524 1,006 1,048 1,441 2,012 2,882 4,024 5,533 5,764 11,066 11,528 22,132 44,264 65,893 131,786 263,572 527,144 724,823 1,449,646 2,899,292 5,798,584

Collatz Trajectory (214 steps to reach 1)

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

5,798,584 2,899,292 1,449,646 724,823 2,174,470 1,087,235 3,261,706 1,630,853 4,892,560 2,446,280 1,223,140 611,570 305,785 917,356 458,678 229,339 688,018 344,009 1,032,028 516,014 258,007 774,022 387,011 1,161,034 580,517 1,741,552 870,776 435,388 217,694 108,847 326,542 163,271 489,814 244,907 734,722 367,361 1,102,084 551,042 275,521 826,564 413,282 206,641 619,924 309,962 154,981 464,944 232,472 116,236 58,118 29,059 87,178 43,589 130,768 65,384 32,692 16,346 8,173 24,520 12,260 6,130

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