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5,333,056

26 × 23 × 3623
Abundant Even Composite

5,333,056 factors as 2^6 × 23 × 3623. Its 28 positive divisors give a proper-divisor sum of 5,712,896, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 3623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,045,952
Proper Divisor Sum 5,712,896
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5333039 ← → #5333057

Radix Representation

Decimal 5333056
Binary 10100010110000001000000 (23 bits)
Octal 0o24260100
Hexadecimal 0x516040

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 1,472 3,623 7,246 14,492 28,984 57,968 83,329 115,936 166,658 231,872 333,316 666,632 1,333,264 2,666,528 5,333,056

Collatz Trajectory (263 steps to reach 1)

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

5,333,056 2,666,528 1,333,264 666,632 333,316 166,658 83,329 249,988 124,994 62,497 187,492 93,746 46,873 140,620 70,310 35,155 105,466 52,733 158,200 79,100 39,550 19,775 59,326 29,663 88,990 44,495 133,486 66,743 200,230 100,115 300,346 150,173 450,520 225,260 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972

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