7,877,804

2² × 11 × 179041

7,877,804 factors as 2^2 × 11 × 179041. Its 12 positive divisors give a proper-divisor sum of 7,161,724, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 179041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,039,528

Proper Divisor Sum 7,161,724

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7877803 ← → #7877809

Radix Representation

Decimal	7877804
Binary	11110000011010010101100 (23 bits)
Octal	0o36032254
Hexadecimal	0x7834AC

Divisor Catalog (12)

1 2 4 11 22 44 179,041 358,082 716,164 1,969,451 3,938,902 7,877,804

Collatz Trajectory (67 steps to reach 1)

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

7,877,804 3,938,902 1,969,451 5,908,354 2,954,177 8,862,532 4,431,266 2,215,633 6,646,900 3,323,450 1,661,725 4,985,176 2,492,588 1,246,294 623,147 1,869,442 934,721 2,804,164 1,402,082 701,041 2,103,124 1,051,562 525,781 1,577,344 788,672 394,336 197,168 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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