15,692,560

2⁴ × 5 × 13 × 79 × 191

15,692,560 factors as 2^4 × 5 × 13 × 79 × 191. Its 80 positive divisors give a proper-divisor sum of 24,304,880, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 79 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 39,997,440

Proper Divisor Sum 24,304,880

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15692557 ← → #15692597

Radix Representation

Decimal	15692560
Binary	111011110111001100010000 (24 bits)
Octal	0o73671420
Hexadecimal	0xEF7310

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 191 208 260 316 382 395 520 632 764 790 955 1,027 1,040 1,264 1,528 1,580 1,910 2,054 2,483 3,056 3,160 3,820 4,108 4,966 5,135 6,320 7,640 8,216 9,932 10,270 12,415 15,089 15,280 16,432 19,864 20,540 24,830 30,178 39,728 41,080 49,660 60,356

Collatz Trajectory (156 steps to reach 1)

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

15,692,560 7,846,280 3,923,140 1,961,570 980,785 2,942,356 1,471,178 735,589 2,206,768 1,103,384 551,692 275,846 137,923 413,770 206,885 620,656 310,328 155,164 77,582 38,791 116,374 58,187 174,562 87,281 261,844 130,922 65,461 196,384 98,192 49,096 24,548 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767

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