λ
Sigma Notebook

2,705,970

2 × 3 × 5 × 90199
Abundant Even Composite

2,705,970 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 90199 and its 16 divisors sum to 6,494,400.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 90199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,494,400
Proper Divisor Sum 3,788,430
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2705957 ← → #2705971

Radix Representation

Decimal 2705970
Binary 1010010100101000110010 (22 bits)
Octal 0o12245062
Hexadecimal 0x294A32

Divisor Catalog (16)

1 2 3 5 6 10 15 30 90,199 180,398 270,597 450,995 541,194 901,990 1,352,985 2,705,970

Collatz Trajectory (169 steps to reach 1)

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

2,705,970 1,352,985 4,058,956 2,029,478 1,014,739 3,044,218 1,522,109 4,566,328 2,283,164 1,141,582 570,791 1,712,374 856,187 2,568,562 1,284,281 3,852,844 1,926,422 963,211 2,889,634 1,444,817 4,334,452 2,167,226 1,083,613 3,250,840 1,625,420 812,710 406,355 1,219,066 609,533 1,828,600 914,300 457,150 228,575 685,726 342,863 1,028,590 514,295 1,542,886 771,443 2,314,330 1,157,165 3,471,496 1,735,748 867,874 433,937 1,301,812 650,906 325,453 976,360 488,180 244,090 122,045 366,136 183,068 91,534 45,767 137,302 68,651 205,954 102,977

More profiles

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