λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,336,310

15,336,310

2 × 5 × 11 × 107 × 1303
Deficient Even Composite

15,336,310 factors as 2 × 5 × 11 × 107 × 1303. Its 32 positive divisors give a proper-divisor sum of 15,083,402, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 107 × 1303
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,419,712
Proper Divisor Sum 15,083,402
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15336271 ← → #15336313

Radix Representation

Decimal 15336310
Binary 111010100000001101110110 (24 bits)
Octal 0o72401566
Hexadecimal 0xEA0376

Divisor Catalog (32)

1 2 5 10 11 22 55 107 110 214 535 1,070 1,177 1,303 2,354 2,606 5,885 6,515 11,770 13,030 14,333 28,666 71,665 139,421 143,330 278,842 697,105 1,394,210 1,533,631 3,067,262 7,668,155 15,336,310

Collatz Trajectory (125 steps to reach 1)

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

15,336,310 7,668,155 23,004,466 11,502,233 34,506,700 17,253,350 8,626,675 25,880,026 12,940,013 38,820,040 19,410,020 9,705,010 4,852,505 14,557,516 7,278,758 3,639,379 10,918,138 5,459,069 16,377,208 8,188,604 4,094,302 2,047,151 6,141,454 3,070,727 9,212,182 4,606,091 13,818,274 6,909,137 20,727,412 10,363,706 5,181,853 15,545,560 7,772,780 3,886,390 1,943,195 5,829,586 2,914,793 8,744,380 4,372,190 2,186,095 6,558,286 3,279,143 9,837,430 4,918,715 14,756,146 7,378,073 22,134,220 11,067,110 5,533,555 16,600,666 8,300,333 24,901,000 12,450,500 6,225,250 3,112,625 9,337,876 4,668,938 2,334,469 7,003,408 3,501,704

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #15,336,309 Browse Full Index Next Integer #15,336,311 →