11,515,088

2⁴ × 13 × 23 × 29 × 83

11,515,088 factors as 2^4 × 13 × 23 × 29 × 83. Its 80 positive divisors give a proper-divisor sum of 14,733,232, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 29 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 26,248,320

Proper Divisor Sum 14,733,232

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #11515079 ← → #11515123

Radix Representation

Decimal	11515088
Binary	101011111011010011010000 (24 bits)
Octal	0o53732320
Hexadecimal	0xAFB4D0

Divisor Catalog (60 of 80)

1 2 4 8 13 16 23 26 29 46 52 58 83 92 104 116 166 184 208 232 299 332 368 377 464 598 664 667 754 1,079 1,196 1,328 1,334 1,508 1,909 2,158 2,392 2,407 2,668 3,016 3,818 4,316 4,784 4,814 5,336 6,032 7,636 8,632 8,671 9,628 10,672 15,272 17,264 17,342 19,256 24,817 30,544 31,291 34,684 38,512

Collatz Trajectory (70 steps to reach 1)

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

11,515,088 5,757,544 2,878,772 1,439,386 719,693 2,159,080 1,079,540 539,770 269,885 809,656 404,828 202,414 101,207 303,622 151,811 455,434 227,717 683,152 341,576 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340

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