7,755,790

2 × 5 × 7 × 101 × 1097

7,755,790 factors as 2 × 5 × 7 × 101 × 1097. Its 32 positive divisors give a proper-divisor sum of 8,371,634, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 101 × 1097

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,127,424

Proper Divisor Sum 8,371,634

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7755779 ← → #7755793

Radix Representation

Decimal	7755790
Binary	11101100101100000001110 (23 bits)
Octal	0o35454016
Hexadecimal	0x76580E

Divisor Catalog (32)

Collatz Trajectory (173 steps to reach 1)

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

7,755,790 3,877,895 11,633,686 5,816,843 17,450,530 8,725,265 26,175,796 13,087,898 6,543,949 19,631,848 9,815,924 4,907,962 2,453,981 7,361,944 3,680,972 1,840,486 920,243 2,760,730 1,380,365 4,141,096 2,070,548 1,035,274 517,637 1,552,912 776,456 388,228 194,114 97,057 291,172 145,586 72,793 218,380 109,190 54,595 163,786 81,893 245,680 122,840 61,420 30,710 15,355 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198

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