λ
Sigma Notebook

2,712,417

3 × 47 × 19237
Deficient Odd Composite

2,712,417 is odd and not a perfect square. Its factorization is 3 × 47 × 19237 and its 8 divisors sum to 3,693,696.

Prime Factor Structure

Factorization String 3 × 47 × 19237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,693,696
Proper Divisor Sum 981,279
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2712389 ← → #2712419

Radix Representation

Decimal 2712417
Binary 1010010110001101100001 (22 bits)
Octal 0o12261541
Hexadecimal 0x296361

Divisor Catalog (8)

1 3 47 141 19,237 57,711 904,139 2,712,417

Collatz Trajectory (138 steps to reach 1)

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

2,712,417 8,137,252 4,068,626 2,034,313 6,102,940 3,051,470 1,525,735 4,577,206 2,288,603 6,865,810 3,432,905 10,298,716 5,149,358 2,574,679 7,724,038 3,862,019 11,586,058 5,793,029 17,379,088 8,689,544 4,344,772 2,172,386 1,086,193 3,258,580 1,629,290 814,645 2,443,936 1,221,968 610,984 305,492 152,746 76,373 229,120 114,560 57,280 28,640 14,320 7,160 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224

More profiles

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