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Atlas › Integer Profiles › Node 15,262,870

15,262,870

2 × 5 × 7 × 37 × 71 × 83
Abundant Even Composite

15,262,870 factors as 2 × 5 × 7 × 37 × 71 × 83. Its 64 positive divisors give a proper-divisor sum of 17,831,786, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 37 × 71 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 33,094,656
Proper Divisor Sum 17,831,786
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #15262867 ← → #15262901

Radix Representation

Decimal 15262870
Binary 111010001110010010010110 (24 bits)
Octal 0o72162226
Hexadecimal 0xE8E496

Divisor Catalog (60 of 64)

1 2 5 7 10 14 35 37 70 71 74 83 142 166 185 259 355 370 415 497 518 581 710 830 994 1,162 1,295 2,485 2,590 2,627 2,905 3,071 4,970 5,254 5,810 5,893 6,142 11,786 13,135 15,355 18,389 21,497 26,270 29,465 30,710 36,778 41,251 42,994 58,930 82,502 91,945 107,485 183,890 206,255 214,970 218,041 412,510 436,082 1,090,205 1,526,287

Collatz Trajectory (174 steps to reach 1)

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

15,262,870 7,631,435 22,894,306 11,447,153 34,341,460 17,170,730 8,585,365 25,756,096 12,878,048 6,439,024 3,219,512 1,609,756 804,878 402,439 1,207,318 603,659 1,810,978 905,489 2,716,468 1,358,234 679,117 2,037,352 1,018,676 509,338 254,669 764,008 382,004 191,002 95,501 286,504 143,252 71,626 35,813 107,440 53,720 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449

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