λ
Sigma Notebook

2,697,930

2 × 32 × 5 × 31 × 967
Abundant Even Composite

2,697,930 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 31 × 967 and its 48 divisors sum to 7,248,384.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,248,384
Proper Divisor Sum 4,550,454
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2697913 ← → #2697931

Radix Representation

Decimal 2697930
Binary 1010010010101011001010 (22 bits)
Octal 0o12225312
Hexadecimal 0x292ACA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 967 1,395 1,934 2,790 2,901 4,835 5,802 8,703 9,670 14,505 17,406 29,010 29,977 43,515 59,954 87,030 89,931 149,885 179,862 269,793 299,770 449,655 539,586 899,310 1,348,965 2,697,930

Collatz Trajectory (112 steps to reach 1)

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

2,697,930 1,348,965 4,046,896 2,023,448 1,011,724 505,862 252,931 758,794 379,397 1,138,192 569,096 284,548 142,274 71,137 213,412 106,706 53,353 160,060 80,030 40,015 120,046 60,023 180,070 90,035 270,106 135,053 405,160 202,580 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

More profiles

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