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15,519,648

25 × 3 × 41 × 3943
Abundant Even Composite

15,519,648 factors as 2^5 × 3 × 41 × 3943. Its 48 positive divisors give a proper-divisor sum of 26,223,648, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 41 × 3943
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,743,296
Proper Divisor Sum 26,223,648
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #15519617 ← → #15519649

Radix Representation

Decimal 15519648
Binary 111011001100111110100000 (24 bits)
Octal 0o73147640
Hexadecimal 0xECCFA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1,312 1,968 3,936 3,943 7,886 11,829 15,772 23,658 31,544 47,316 63,088 94,632 126,176 161,663 189,264 323,326 378,528 484,989 646,652 969,978 1,293,304 1,939,956 2,586,608 3,879,912 5,173,216 7,759,824 15,519,648

Collatz Trajectory (94 steps to reach 1)

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

15,519,648 7,759,824 3,879,912 1,939,956 969,978 484,989 1,454,968 727,484 363,742 181,871 545,614 272,807 818,422 409,211 1,227,634 613,817 1,841,452 920,726 460,363 1,381,090 690,545 2,071,636 1,035,818 517,909 1,553,728 776,864 388,432 194,216 97,108 48,554 24,277 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

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