λ
Sigma Notebook

7,297,206

2 × 3 × 7 × 173743
Abundant Even Composite

7,297,206 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 173743 and its 16 divisors sum to 16,679,424.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 173743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,679,424
Proper Divisor Sum 9,382,218
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7297189 ← → #7297231

Radix Representation

Decimal 7297206
Binary 11011110101100010110110 (23 bits)
Octal 0o33654266
Hexadecimal 0x6F58B6

Divisor Catalog (16)

1 2 3 6 7 14 21 42 173,743 347,486 521,229 1,042,458 1,216,201 2,432,402 3,648,603 7,297,206

Collatz Trajectory (111 steps to reach 1)

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

7,297,206 3,648,603 10,945,810 5,472,905 16,418,716 8,209,358 4,104,679 12,314,038 6,157,019 18,471,058 9,235,529 27,706,588 13,853,294 6,926,647 20,779,942 10,389,971 31,169,914 15,584,957 46,754,872 23,377,436 11,688,718 5,844,359 17,533,078 8,766,539 26,299,618 13,149,809 39,449,428 19,724,714 9,862,357 29,587,072 14,793,536 7,396,768 3,698,384 1,849,192 924,596 462,298 231,149 693,448 346,724 173,362 86,681 260,044 130,022 65,011 195,034 97,517 292,552 146,276 73,138 36,569 109,708 54,854 27,427 82,282 41,141 123,424 61,712 30,856 15,428 7,714

More profiles

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