12,367,546

2 × 37² × 4517

12,367,546 factors as 2 × 37^2 × 4517. Its 12 positive divisors give a proper-divisor sum of 6,702,932, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 37^2 × 4517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,070,478

Proper Divisor Sum 6,702,932

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12367507 ← → #12367559

Radix Representation

Decimal	12367546
Binary	101111001011011010111010 (24 bits)
Octal	0o57133272
Hexadecimal	0xBCB6BA

Divisor Catalog (12)

1 2 37 74 1,369 2,738 4,517 9,034 167,129 334,258 6,183,773 12,367,546

Collatz Trajectory (91 steps to reach 1)

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

12,367,546 6,183,773 18,551,320 9,275,660 4,637,830 2,318,915 6,956,746 3,478,373 10,435,120 5,217,560 2,608,780 1,304,390 652,195 1,956,586 978,293 2,934,880 1,467,440 733,720 366,860 183,430 91,715 275,146 137,573 412,720 206,360 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186

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