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Atlas › Integer Profiles › Node 2,832,345

2,832,345

32 × 5 × 113 × 557
Deficient Odd Composite

2,832,345 factors as 3^2 × 5 × 113 × 557. Its 24 positive divisors give a proper-divisor sum of 2,129,391, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 113 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,961,736
Proper Divisor Sum 2,129,391
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2832331 ← → #2832359

Radix Representation

Decimal 2832345
Binary 1010110011011111011001 (22 bits)
Octal 0o12633731
Hexadecimal 0x2B37D9

Divisor Catalog (24)

1 3 5 9 15 45 113 339 557 565 1,017 1,671 1,695 2,785 5,013 5,085 8,355 25,065 62,941 188,823 314,705 566,469 944,115 2,832,345

Collatz Trajectory (125 steps to reach 1)

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

2,832,345 8,497,036 4,248,518 2,124,259 6,372,778 3,186,389 9,559,168 4,779,584 2,389,792 1,194,896 597,448 298,724 149,362 74,681 224,044 112,022 56,011 168,034 84,017 252,052 126,026 63,013 189,040 94,520 47,260 23,630 11,815 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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