λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,133,752

3,133,752

23 × 3 × 37 × 3529
Abundant Even Composite

3,133,752 factors as 2^3 × 3 × 37 × 3529. Its 32 positive divisors give a proper-divisor sum of 4,914,648, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,048,400
Proper Divisor Sum 4,914,648
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3133751 ← → #3133777

Radix Representation

Decimal 3133752
Binary 1011111101000100111000 (22 bits)
Octal 0o13750470
Hexadecimal 0x2FD138

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 3,529 7,058 10,587 14,116 21,174 28,232 42,348 84,696 130,573 261,146 391,719 522,292 783,438 1,044,584 1,566,876 3,133,752

Collatz Trajectory (195 steps to reach 1)

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

3,133,752 1,566,876 783,438 391,719 1,175,158 587,579 1,762,738 881,369 2,644,108 1,322,054 661,027 1,983,082 991,541 2,974,624 1,487,312 743,656 371,828 185,914 92,957 278,872 139,436 69,718 34,859 104,578 52,289 156,868 78,434 39,217 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,133,751 Browse Full Index Next Integer #3,133,753 →