λ
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2,878,772

22 × 13 × 23 × 29 × 83
Abundant Even Composite

2,878,772 factors as 2^2 × 13 × 23 × 29 × 83. Its 48 positive divisors give a proper-divisor sum of 3,048,268, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 29 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,927,040
Proper Divisor Sum 3,048,268
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2878769 ← → #2878783

Radix Representation

Decimal 2878772
Binary 1010111110110100110100 (22 bits)
Octal 0o12766464
Hexadecimal 0x2BED34

Divisor Catalog (48)

1 2 4 13 23 26 29 46 52 58 83 92 116 166 299 332 377 598 667 754 1,079 1,196 1,334 1,508 1,909 2,158 2,407 2,668 3,818 4,316 4,814 7,636 8,671 9,628 17,342 24,817 31,291 34,684 49,634 55,361 62,582 99,268 110,722 125,164 221,444 719,693 1,439,386 2,878,772

Collatz Trajectory (68 steps to reach 1)

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

2,878,772 1,439,386 719,693 2,159,080 1,079,540 539,770 269,885 809,656 404,828 202,414 101,207 303,622 151,811 455,434 227,717 683,152 341,576 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85

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