λ
Sigma Notebook

2,902,840

23 × 5 × 31 × 2341
Abundant Even Composite

2,902,840 is even and not a perfect square. Its factorization is 2^3 × 5 × 31 × 2341 and its 32 divisors sum to 6,744,960.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,744,960
Proper Divisor Sum 3,842,120
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2902831 ← → #2902873

Radix Representation

Decimal 2902840
Binary 1011000100101100111000 (22 bits)
Octal 0o13045470
Hexadecimal 0x2C4B38

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 2,341 4,682 9,364 11,705 18,728 23,410 46,820 72,571 93,640 145,142 290,284 362,855 580,568 725,710 1,451,420 2,902,840

Collatz Trajectory (182 steps to reach 1)

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

2,902,840 1,451,420 725,710 362,855 1,088,566 544,283 1,632,850 816,425 2,449,276 1,224,638 612,319 1,836,958 918,479 2,755,438 1,377,719 4,133,158 2,066,579 6,199,738 3,099,869 9,299,608 4,649,804 2,324,902 1,162,451 3,487,354 1,743,677 5,231,032 2,615,516 1,307,758 653,879 1,961,638 980,819 2,942,458 1,471,229 4,413,688 2,206,844 1,103,422 551,711 1,655,134 827,567 2,482,702 1,241,351 3,724,054 1,862,027 5,586,082 2,793,041 8,379,124 4,189,562 2,094,781 6,284,344 3,142,172 1,571,086 785,543 2,356,630 1,178,315 3,534,946 1,767,473 5,302,420 2,651,210 1,325,605 3,976,816

More profiles

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