707,672

2³ × 7 × 12637

707,672 factors as 2^3 × 7 × 12637. Its 16 positive divisors give a proper-divisor sum of 808,888, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 12637

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,516,560

Proper Divisor Sum 808,888

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #707671 ← → #707677

Radix Representation

Decimal	707672
Binary	10101100110001011000 (20 bits)
Octal	0o2546130
Hexadecimal	0xACC58

Divisor Catalog (16)

1 2 4 7 8 14 28 56 12,637 25,274 50,548 88,459 101,096 176,918 353,836 707,672

Collatz Trajectory (105 steps to reach 1)

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

707,672 353,836 176,918 88,459 265,378 132,689 398,068 199,034 99,517 298,552 149,276 74,638 37,319 111,958 55,979 167,938 83,969 251,908 125,954 62,977 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944

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