λ
Math Directory

1,348,524

22 × 32 × 47 × 797
Abundant Even Composite

1,348,524 factors as 2^2 × 3^2 × 47 × 797. Its 36 positive divisors give a proper-divisor sum of 2,137,140, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,485,664
Proper Divisor Sum 2,137,140
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1348517 ← → #1348537

Radix Representation

Decimal 1348524
Binary 101001001001110101100 (21 bits)
Octal 0o5111654
Hexadecimal 0x1493AC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 797 846 1,594 1,692 2,391 3,188 4,782 7,173 9,564 14,346 28,692 37,459 74,918 112,377 149,836 224,754 337,131 449,508 674,262 1,348,524

Collatz Trajectory (85 steps to reach 1)

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

1,348,524 674,262 337,131 1,011,394 505,697 1,517,092 758,546 379,273 1,137,820 568,910 284,455 853,366 426,683 1,280,050 640,025 1,920,076 960,038 480,019 1,440,058 720,029 2,160,088 1,080,044 540,022 270,011 810,034 405,017 1,215,052 607,526 303,763 911,290 455,645 1,366,936 683,468 341,734 170,867 512,602 256,301 768,904 384,452 192,226 96,113 288,340 144,170 72,085 216,256 108,128 54,064 27,032 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

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