7,828,155

3² × 5 × 73 × 2383

7,828,155 factors as 3^2 × 5 × 73 × 2383. Its 24 positive divisors give a proper-divisor sum of 5,932,293, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 73 × 2383

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,760,448

Proper Divisor Sum 5,932,293

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7828147 ← → #7828157

Radix Representation

Decimal	7828155
Binary	11101110111001010111011 (23 bits)
Octal	0o35671273
Hexadecimal	0x7772BB

Divisor Catalog (24)

Collatz Trajectory (248 steps to reach 1)

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

7,828,155 23,484,466 11,742,233 35,226,700 17,613,350 8,806,675 26,420,026 13,210,013 39,630,040 19,815,020 9,907,510 4,953,755 14,861,266 7,430,633 22,291,900 11,145,950 5,572,975 16,718,926 8,359,463 25,078,390 12,539,195 37,617,586 18,808,793 56,426,380 28,213,190 14,106,595 42,319,786 21,159,893 63,479,680 31,739,840 15,869,920 7,934,960 3,967,480 1,983,740 991,870 495,935 1,487,806 743,903 2,231,710 1,115,855 3,347,566 1,673,783 5,021,350 2,510,675 7,532,026 3,766,013 11,298,040 5,649,020 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318

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