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Atlas › Integer Profiles › Node 28,090,528

28,090,528

25 × 17 × 51637
Abundant Even Composite

28,090,528 factors as 2^5 × 17 × 51637. Its 24 positive divisors give a proper-divisor sum of 30,466,964, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 51637
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 58,557,492
Proper Divisor Sum 30,466,964
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28090507 ← → #28090541

Radix Representation

Decimal 28090528
Binary 1101011001010000010100000 (25 bits)
Octal 0o153120240
Hexadecimal 0x1ACA0A0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 51,637 103,274 206,548 413,096 826,192 877,829 1,652,384 1,755,658 3,511,316 7,022,632 14,045,264 28,090,528

Collatz Trajectory (69 steps to reach 1)

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

28,090,528 14,045,264 7,022,632 3,511,316 1,755,658 877,829 2,633,488 1,316,744 658,372 329,186 164,593 493,780 246,890 123,445 370,336 185,168 92,584 46,292 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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