27,840,688

2⁴ × 53 × 32831

27,840,688 factors as 2^4 × 53 × 32831. Its 20 positive divisors give a proper-divisor sum of 27,120,080, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 32831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 54,960,768

Proper Divisor Sum 27,120,080

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27840661 ← → #27840689

Radix Representation

Decimal	27840688
Binary	1101010001101000010110000 (25 bits)
Octal	0o152150260
Hexadecimal	0x1A8D0B0

Divisor Catalog (20)

Collatz Trajectory (100 steps to reach 1)

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

27,840,688 13,920,344 6,960,172 3,480,086 1,740,043 5,220,130 2,610,065 7,830,196 3,915,098 1,957,549 5,872,648 2,936,324 1,468,162 734,081 2,202,244 1,101,122 550,561 1,651,684 825,842 412,921 1,238,764 619,382 309,691 929,074 464,537 1,393,612 696,806 348,403 1,045,210 522,605 1,567,816 783,908 391,954 195,977 587,932 293,966 146,983 440,950 220,475 661,426 330,713 992,140 496,070 248,035 744,106 372,053 1,116,160 558,080 279,040 139,520 69,760 34,880 17,440 8,720 4,360 2,180 1,090 545 1,636 818

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