2,829,285

3² × 5 × 62873

2,829,285 factors as 3^2 × 5 × 62873. Its 12 positive divisors give a proper-divisor sum of 2,074,887, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 62873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,904,172

Proper Divisor Sum 2,074,887

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2829263 ← → #2829289

Radix Representation

Decimal	2829285
Binary	1010110010101111100101 (22 bits)
Octal	0o12625745
Hexadecimal	0x2B2BE5

Divisor Catalog (12)

1 3 5 9 15 45 62,873 188,619 314,365 565,857 943,095 2,829,285

Collatz Trajectory (107 steps to reach 1)

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

2,829,285 8,487,856 4,243,928 2,121,964 1,060,982 530,491 1,591,474 795,737 2,387,212 1,193,606 596,803 1,790,410 895,205 2,685,616 1,342,808 671,404 335,702 167,851 503,554 251,777 755,332 377,666 188,833 566,500 283,250 141,625 424,876 212,438 106,219 318,658 159,329 477,988 238,994 119,497 358,492 179,246 89,623 268,870 134,435 403,306 201,653 604,960 302,480 151,240 75,620 37,810 18,905 56,716 28,358 14,179 42,538 21,269 63,808 31,904 15,952 7,976 3,988 1,994 997 2,992

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