λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,491,369

4,491,369

36 × 61 × 101
Deficient Odd Composite

4,491,369 factors as 3^6 × 61 × 101. Its 28 positive divisors give a proper-divisor sum of 2,420,763, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3^6 × 61 × 101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,912,132
Proper Divisor Sum 2,420,763
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4491359 ← → #4491401

Radix Representation

Decimal 4491369
Binary 10001001000100001101001 (23 bits)
Octal 0o21104151
Hexadecimal 0x448869

Divisor Catalog (28)

1 3 9 27 61 81 101 183 243 303 549 729 909 1,647 2,727 4,941 6,161 8,181 14,823 18,483 24,543 44,469 55,449 73,629 166,347 499,041 1,497,123 4,491,369

Collatz Trajectory (136 steps to reach 1)

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

4,491,369 13,474,108 6,737,054 3,368,527 10,105,582 5,052,791 15,158,374 7,579,187 22,737,562 11,368,781 34,106,344 17,053,172 8,526,586 4,263,293 12,789,880 6,394,940 3,197,470 1,598,735 4,796,206 2,398,103 7,194,310 3,597,155 10,791,466 5,395,733 16,187,200 8,093,600 4,046,800 2,023,400 1,011,700 505,850 252,925 758,776 379,388 189,694 94,847 284,542 142,271 426,814 213,407 640,222 320,111 960,334 480,167 1,440,502 720,251 2,160,754 1,080,377 3,241,132 1,620,566 810,283 2,430,850 1,215,425 3,646,276 1,823,138 911,569 2,734,708 1,367,354 683,677 2,051,032 1,025,516

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,491,368 Browse Full Index Next Integer #4,491,370 →