27,815,512

2³ × 61 × 56999

27,815,512 factors as 2^3 × 61 × 56999. Its 16 positive divisors give a proper-divisor sum of 25,194,488, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 56999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 53,010,000

Proper Divisor Sum 25,194,488

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27815503 ← → #27815531

Radix Representation

Decimal	27815512
Binary	1101010000110111001011000 (25 bits)
Octal	0o152067130
Hexadecimal	0x1A86E58

Divisor Catalog (16)

1 2 4 8 61 122 244 488 56,999 113,998 227,996 455,992 3,476,939 6,953,878 13,907,756 27,815,512

Collatz Trajectory (162 steps to reach 1)

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

27,815,512 13,907,756 6,953,878 3,476,939 10,430,818 5,215,409 15,646,228 7,823,114 3,911,557 11,734,672 5,867,336 2,933,668 1,466,834 733,417 2,200,252 1,100,126 550,063 1,650,190 825,095 2,475,286 1,237,643 3,712,930 1,856,465 5,569,396 2,784,698 1,392,349 4,177,048 2,088,524 1,044,262 522,131 1,566,394 783,197 2,349,592 1,174,796 587,398 293,699 881,098 440,549 1,321,648 660,824 330,412 165,206 82,603 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808 29,404

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