λ
Ratio Atlas
Atlas › Integer Profiles › Node 43,329,636

43,329,636

22 × 32 × 7 × 139 × 1237
Abundant Even Composite

43,329,636 factors as 2^2 × 3^2 × 7 × 139 × 1237. Its 72 positive divisors give a proper-divisor sum of 82,847,324, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 139 × 1237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 126,176,960
Proper Divisor Sum 82,847,324
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #43329619 ← → #43329641

Radix Representation

Decimal 43329636
Binary 10100101010010100001100100 (26 bits)
Octal 0o245224144
Hexadecimal 0x2952864

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 139 252 278 417 556 834 973 1,237 1,251 1,668 1,946 2,474 2,502 2,919 3,711 3,892 4,948 5,004 5,838 7,422 8,659 8,757 11,133 11,676 14,844 17,318 17,514 22,266 25,977 34,636 35,028 44,532 51,954 77,931 103,908 155,862 171,943 311,724 343,886 515,829 687,772 1,031,658 1,203,601

Collatz Trajectory (191 steps to reach 1)

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

43,329,636 21,664,818 10,832,409 32,497,228 16,248,614 8,124,307 24,372,922 12,186,461 36,559,384 18,279,692 9,139,846 4,569,923 13,709,770 6,854,885 20,564,656 10,282,328 5,141,164 2,570,582 1,285,291 3,855,874 1,927,937 5,783,812 2,891,906 1,445,953 4,337,860 2,168,930 1,084,465 3,253,396 1,626,698 813,349 2,440,048 1,220,024 610,012 305,006 152,503 457,510 228,755 686,266 343,133 1,029,400 514,700 257,350 128,675 386,026 193,013 579,040 289,520 144,760 72,380 36,190 18,095 54,286 27,143 81,430 40,715 122,146 61,073 183,220 91,610 45,805

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #43,329,635 Browse Full Index Next Integer #43,329,637 →