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Atlas › Integer Profiles › Node 28,255,488

28,255,488

28 × 3 × 36791
Abundant Even Composite

28,255,488 factors as 2^8 × 3 × 36791. Its 36 positive divisors give a proper-divisor sum of 46,947,360, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 36791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 75,202,848
Proper Divisor Sum 46,947,360
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #28255481 ← → #28255499

Radix Representation

Decimal 28255488
Binary 1101011110010010100000000 (25 bits)
Octal 0o153622400
Hexadecimal 0x1AF2500

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 36,791 73,582 110,373 147,164 220,746 294,328 441,492 588,656 882,984 1,177,312 1,765,968 2,354,624 3,531,936 4,709,248 7,063,872 9,418,496 14,127,744 28,255,488

Collatz Trajectory (149 steps to reach 1)

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

28,255,488 14,127,744 7,063,872 3,531,936 1,765,968 882,984 441,492 220,746 110,373 331,120 165,560 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888

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