707,136

2⁶ × 3 × 29 × 127

707,136 factors as 2^6 × 3 × 29 × 127. Its 56 positive divisors give a proper-divisor sum of 1,243,584, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 29 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 1,950,720

Proper Divisor Sum 1,243,584

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #707131 ← → #707143

Radix Representation

Decimal	707136
Binary	10101100101001000000 (20 bits)
Octal	0o2545100
Hexadecimal	0xACA40

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 127 174 192 232 254 348 381 464 508 696 762 928 1,016 1,392 1,524 1,856 2,032 2,784 3,048 3,683 4,064 5,568 6,096 7,366 8,128 11,049 12,192 14,732 22,098 24,384 29,464 44,196 58,928 88,392 117,856 176,784 235,712 353,568 707,136

Collatz Trajectory (74 steps to reach 1)

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

707,136 353,568 176,784 88,392 44,196 22,098 11,049 33,148 16,574 8,287 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22

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