λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,536,715

3,536,715

3 × 5 × 7 × 13 × 2591
Deficient Odd Composite

3,536,715 factors as 3 × 5 × 7 × 13 × 2591. Its 32 positive divisors give a proper-divisor sum of 3,430,581, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 2591
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,967,296
Proper Divisor Sum 3,430,581
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3536699 ← → #3536737

Radix Representation

Decimal 3536715
Binary 1101011111011101001011 (22 bits)
Octal 0o15373513
Hexadecimal 0x35F74B

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 2,591 7,773 12,955 18,137 33,683 38,865 54,411 90,685 101,049 168,415 235,781 272,055 505,245 707,343 1,178,905 3,536,715

Collatz Trajectory (128 steps to reach 1)

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

3,536,715 10,610,146 5,305,073 15,915,220 7,957,610 3,978,805 11,936,416 5,968,208 2,984,104 1,492,052 746,026 373,013 1,119,040 559,520 279,760 139,880 69,940 34,970 17,485 52,456 26,228 13,114 6,557 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,536,714 Browse Full Index Next Integer #3,536,716 →