12,436,501

7 × 11² × 14683

12,436,501 factors as 7 × 11^2 × 14683. Its 12 positive divisors give a proper-divisor sum of 3,187,275, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 14683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,623,776

Proper Divisor Sum 3,187,275

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #12436453 ← → #12436513

Radix Representation

Decimal	12436501
Binary	101111011100010000010101 (24 bits)
Octal	0o57342025
Hexadecimal	0xBDC415

Divisor Catalog (12)

1 7 11 77 121 847 14,683 102,781 161,513 1,130,591 1,776,643 12,436,501

Collatz Trajectory (122 steps to reach 1)

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

12,436,501 37,309,504 18,654,752 9,327,376 4,663,688 2,331,844 1,165,922 582,961 1,748,884 874,442 437,221 1,311,664 655,832 327,916 163,958 81,979 245,938 122,969 368,908 184,454 92,227 276,682 138,341 415,024 207,512 103,756 51,878 25,939 77,818 38,909 116,728 58,364 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887

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