12,467,962

2 × 13 × 73 × 6569

12,467,962 factors as 2 × 13 × 73 × 6569. Its 16 positive divisors give a proper-divisor sum of 7,951,598, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 13 × 73 × 6569

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,419,560

Proper Divisor Sum 7,951,598

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #12467951 ← → #12467969

Radix Representation

Decimal	12467962
Binary	101111100011111011111010 (24 bits)
Octal	0o57437372
Hexadecimal	0xBE3EFA

Divisor Catalog (16)

1 2 13 26 73 146 949 1,898 6,569 13,138 85,397 170,794 479,537 959,074 6,233,981 12,467,962

Collatz Trajectory (197 steps to reach 1)

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

12,467,962 6,233,981 18,701,944 9,350,972 4,675,486 2,337,743 7,013,230 3,506,615 10,519,846 5,259,923 15,779,770 7,889,885 23,669,656 11,834,828 5,917,414 2,958,707 8,876,122 4,438,061 13,314,184 6,657,092 3,328,546 1,664,273 4,992,820 2,496,410 1,248,205 3,744,616 1,872,308 936,154 468,077 1,404,232 702,116 351,058 175,529 526,588 263,294 131,647 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467 1,999,402 999,701 2,999,104 1,499,552 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720 26,360 13,180

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