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Atlas › Integer Profiles › Node 15,519,390

15,519,390

2 × 3 × 5 × 192 × 1433
Abundant Even Composite

15,519,390 factors as 2 × 3 × 5 × 19^2 × 1433. Its 48 positive divisors give a proper-divisor sum of 23,818,098, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19^2 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,337,488
Proper Divisor Sum 23,818,098
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15519389 ← → #15519397

Radix Representation

Decimal 15519390
Binary 111011001100111010011110 (24 bits)
Octal 0o73147236
Hexadecimal 0xECCE9E

Divisor Catalog (48)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1,083 1,433 1,805 2,166 2,866 3,610 4,299 5,415 7,165 8,598 10,830 14,330 21,495 27,227 42,990 54,454 81,681 136,135 163,362 272,270 408,405 517,313 816,810 1,034,626 1,551,939 2,586,565 3,103,878 5,173,130 7,759,695 15,519,390

Collatz Trajectory (99 steps to reach 1)

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

15,519,390 7,759,695 23,279,086 11,639,543 34,918,630 17,459,315 52,377,946 26,188,973 78,566,920 39,283,460 19,641,730 9,820,865 29,462,596 14,731,298 7,365,649 22,096,948 11,048,474 5,524,237 16,572,712 8,286,356 4,143,178 2,071,589 6,214,768 3,107,384 1,553,692 776,846 388,423 1,165,270 582,635 1,747,906 873,953 2,621,860 1,310,930 655,465 1,966,396 983,198 491,599 1,474,798 737,399 2,212,198 1,106,099 3,318,298 1,659,149 4,977,448 2,488,724 1,244,362 622,181 1,866,544 933,272 466,636 233,318 116,659 349,978 174,989 524,968 262,484 131,242 65,621 196,864 98,432

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