87,180,136

2³ × 211 × 51647

87,180,136 factors as 2^3 × 211 × 51647. Its 16 positive divisors give a proper-divisor sum of 77,060,504, so this integer is deficient. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^3 × 211 × 51647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 164,240,640

Proper Divisor Sum 77,060,504

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #87180133 ← → #87180139

Radix Representation

Decimal	87180136
Binary	101001100100100001101101000 (27 bits)
Octal	0o514441550
Hexadecimal	0x5324368

Divisor Catalog (16)

1 2 4 8 211 422 844 1,688 51,647 103,294 206,588 413,176 10,897,517 21,795,034 43,590,068 87,180,136

Collatz Trajectory (298 steps to reach 1)

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

87,180,136 43,590,068 21,795,034 10,897,517 32,692,552 16,346,276 8,173,138 4,086,569 12,259,708 6,129,854 3,064,927 9,194,782 4,597,391 13,792,174 6,896,087 20,688,262 10,344,131 31,032,394 15,516,197 46,548,592 23,274,296 11,637,148 5,818,574 2,909,287 8,727,862 4,363,931 13,091,794 6,545,897 19,637,692 9,818,846 4,909,423 14,728,270 7,364,135 22,092,406 11,046,203 33,138,610 16,569,305 49,707,916 24,853,958 12,426,979 37,280,938 18,640,469 55,921,408 27,960,704 13,980,352 6,990,176 3,495,088 1,747,544 873,772 436,886 218,443 655,330 327,665 982,996 491,498 245,749 737,248 368,624 184,312 92,156

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