3,133,416

2³ × 3 × 11² × 13 × 83

3,133,416 factors as 2^3 × 3 × 11^2 × 13 × 83. Its 96 positive divisors give a proper-divisor sum of 6,251,064, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 13 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,384,480

Proper Divisor Sum 6,251,064

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3133411 ← → #3133433

Radix Representation

Decimal	3133416
Binary	1011111100111111101000 (22 bits)
Octal	0o13747750
Hexadecimal	0x2FCFE8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 83 88 104 121 132 143 156 166 242 249 264 286 312 332 363 429 484 498 572 664 726 858 913 968 996 1,079 1,144 1,452 1,573 1,716 1,826 1,992 2,158 2,739 2,904 3,146 3,237 3,432 3,652 4,316 4,719 5,478

Collatz Trajectory (133 steps to reach 1)

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

3,133,416 1,566,708 783,354 391,677 1,175,032 587,516 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096 794,048 397,024 198,512 99,256 49,628 24,814 12,407 37,222 18,611 55,834 27,917 83,752 41,876 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314

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