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5,654,480

24 × 5 × 13 × 5437
Abundant Even Composite

5,654,480 factors as 2^4 × 5 × 13 × 5437. Its 40 positive divisors give a proper-divisor sum of 8,506,072, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 5437
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,160,552
Proper Divisor Sum 8,506,072
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5654479 ← → #5654483

Radix Representation

Decimal 5654480
Binary 10101100100011111010000 (23 bits)
Octal 0o25443720
Hexadecimal 0x5647D0

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 5,437 10,874 21,748 27,185 43,496 54,370 70,681 86,992 108,740 141,362 217,480 282,724 353,405 434,960 565,448 706,810 1,130,896 1,413,620 2,827,240 5,654,480

Collatz Trajectory (126 steps to reach 1)

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

5,654,480 2,827,240 1,413,620 706,810 353,405 1,060,216 530,108 265,054 132,527 397,582 198,791 596,374 298,187 894,562 447,281 1,341,844 670,922 335,461 1,006,384 503,192 251,596 125,798 62,899 188,698 94,349 283,048 141,524 70,762 35,381 106,144 53,072 26,536 13,268 6,634 3,317 9,952 4,976 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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