λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,963,841

5,963,841

33 × 132 × 1307
Deficient Odd Composite

5,963,841 factors as 3^3 × 13^2 × 1307. Its 24 positive divisors give a proper-divisor sum of 3,610,719, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^3 × 13^2 × 1307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,574,560
Proper Divisor Sum 3,610,719
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5963833 ← → #5963843

Radix Representation

Decimal 5963841
Binary 10110110000000001000001 (23 bits)
Octal 0o26600101
Hexadecimal 0x5B0041

Divisor Catalog (24)

1 3 9 13 27 39 117 169 351 507 1,307 1,521 3,921 4,563 11,763 16,991 35,289 50,973 152,919 220,883 458,757 662,649 1,987,947 5,963,841

Collatz Trajectory (165 steps to reach 1)

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

5,963,841 17,891,524 8,945,762 4,472,881 13,418,644 6,709,322 3,354,661 10,063,984 5,031,992 2,515,996 1,257,998 628,999 1,886,998 943,499 2,830,498 1,415,249 4,245,748 2,122,874 1,061,437 3,184,312 1,592,156 796,078 398,039 1,194,118 597,059 1,791,178 895,589 2,686,768 1,343,384 671,692 335,846 167,923 503,770 251,885 755,656 377,828 188,914 94,457 283,372 141,686 70,843 212,530 106,265 318,796 159,398 79,699 239,098 119,549 358,648 179,324 89,662 44,831 134,494 67,247 201,742 100,871 302,614 151,307 453,922 226,961

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,963,840 Browse Full Index Next Integer #5,963,842 →