12,077,390

2 × 5 × 13 × 61 × 1523

12,077,390 factors as 2 × 5 × 13 × 61 × 1523. Its 32 positive divisors give a proper-divisor sum of 11,733,586, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 61 × 1523

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,810,976

Proper Divisor Sum 11,733,586

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12077371 ← → #12077393

Radix Representation

Decimal	12077390
Binary	101110000100100101001110 (24 bits)
Octal	0o56044516
Hexadecimal	0xB8494E

Divisor Catalog (32)

Collatz Trajectory (91 steps to reach 1)

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

12,077,390 6,038,695 18,116,086 9,058,043 27,174,130 13,587,065 40,761,196 20,380,598 10,190,299 30,570,898 15,285,449 45,856,348 22,928,174 11,464,087 34,392,262 17,196,131 51,588,394 25,794,197 77,382,592 38,691,296 19,345,648 9,672,824 4,836,412 2,418,206 1,209,103 3,627,310 1,813,655 5,440,966 2,720,483 8,161,450 4,080,725 12,242,176 6,121,088 3,060,544 1,530,272 765,136 382,568 191,284 95,642 47,821 143,464 71,732 35,866 17,933 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355

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