λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,901,524

3,901,524

22 × 3 × 112 × 2687
Abundant Even Composite

3,901,524 factors as 2^2 × 3 × 11^2 × 2687. Its 36 positive divisors give a proper-divisor sum of 6,108,588, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 2687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,010,112
Proper Divisor Sum 6,108,588
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3901523 ← → #3901531

Radix Representation

Decimal 3901524
Binary 1110111000100001010100 (22 bits)
Octal 0o16704124
Hexadecimal 0x3B8854

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 2,687 5,374 8,061 10,748 16,122 29,557 32,244 59,114 88,671 118,228 177,342 325,127 354,684 650,254 975,381 1,300,508 1,950,762 3,901,524

Collatz Trajectory (185 steps to reach 1)

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

3,901,524 1,950,762 975,381 2,926,144 1,463,072 731,536 365,768 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,901,523 Browse Full Index Next Integer #3,901,525 →