27,615,212

2² × 193 × 35771

27,615,212 factors as 2^2 × 193 × 35771. Its 12 positive divisors give a proper-divisor sum of 20,963,164, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 193 × 35771

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,578,376

Proper Divisor Sum 20,963,164

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #27615199 ← → #27615223

Radix Representation

Decimal	27615212
Binary	1101001010101111111101100 (25 bits)
Octal	0o151257754
Hexadecimal	0x1A55FEC

Divisor Catalog (12)

1 2 4 193 386 772 35,771 71,542 143,084 6,903,803 13,807,606 27,615,212

Collatz Trajectory (211 steps to reach 1)

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

27,615,212 13,807,606 6,903,803 20,711,410 10,355,705 31,067,116 15,533,558 7,766,779 23,300,338 11,650,169 34,950,508 17,475,254 8,737,627 26,212,882 13,106,441 39,319,324 19,659,662 9,829,831 29,489,494 14,744,747 44,234,242 22,117,121 66,351,364 33,175,682 16,587,841 49,763,524 24,881,762 12,440,881 37,322,644 18,661,322 9,330,661 27,991,984 13,995,992 6,997,996 3,498,998 1,749,499 5,248,498 2,624,249 7,872,748 3,936,374 1,968,187 5,904,562 2,952,281 8,856,844 4,428,422 2,214,211 6,642,634 3,321,317 9,963,952 4,981,976 2,490,988 1,245,494 622,747 1,868,242 934,121 2,802,364 1,401,182 700,591 2,101,774 1,050,887

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