7,078,920

2³ × 3 × 5 × 58991

7,078,920 factors as 2^3 × 3 × 5 × 58991. Its 32 positive divisors give a proper-divisor sum of 14,158,200, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 58991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,237,120

Proper Divisor Sum 14,158,200

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7078909 ← → #7078921

Radix Representation

Decimal	7078920
Binary	11011000000010000001000 (23 bits)
Octal	0o33002010
Hexadecimal	0x6C0408

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 58,991 117,982 176,973 235,964 294,955 353,946 471,928 589,910 707,892 884,865 1,179,820 1,415,784 1,769,730 2,359,640 3,539,460 7,078,920

Collatz Trajectory (98 steps to reach 1)

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

7,078,920 3,539,460 1,769,730 884,865 2,654,596 1,327,298 663,649 1,990,948 995,474 497,737 1,493,212 746,606 373,303 1,119,910 559,955 1,679,866 839,933 2,519,800 1,259,900 629,950 314,975 944,926 472,463 1,417,390 708,695 2,126,086 1,063,043 3,189,130 1,594,565 4,783,696 2,391,848 1,195,924 597,962 298,981 896,944 448,472 224,236 112,118 56,059 168,178 84,089 252,268 126,134 63,067 189,202 94,601 283,804 141,902 70,951 212,854 106,427 319,282 159,641 478,924 239,462 119,731 359,194 179,597 538,792 269,396

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