λ
Sigma Notebook

7,088,037

3 × 11 × 214789
Deficient Odd Composite

7,088,037 is odd and not a perfect square. Its factorization is 3 × 11 × 214789 and its 8 divisors sum to 10,309,920.

Prime Factor Structure

Factorization String 3 × 11 × 214789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,309,920
Proper Divisor Sum 3,221,883
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7088021 ← → #7088041

Radix Representation

Decimal 7088037
Binary 11011000010011110100101 (23 bits)
Octal 0o33023645
Hexadecimal 0x6C27A5

Divisor Catalog (8)

1 3 11 33 214,789 644,367 2,362,679 7,088,037

Collatz Trajectory (121 steps to reach 1)

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

7,088,037 21,264,112 10,632,056 5,316,028 2,658,014 1,329,007 3,987,022 1,993,511 5,980,534 2,990,267 8,970,802 4,485,401 13,456,204 6,728,102 3,364,051 10,092,154 5,046,077 15,138,232 7,569,116 3,784,558 1,892,279 5,676,838 2,838,419 8,515,258 4,257,629 12,772,888 6,386,444 3,193,222 1,596,611 4,789,834 2,394,917 7,184,752 3,592,376 1,796,188 898,094 449,047 1,347,142 673,571 2,020,714 1,010,357 3,031,072 1,515,536 757,768 378,884 189,442 94,721 284,164 142,082 71,041 213,124 106,562 53,281 159,844 79,922 39,961 119,884 59,942 29,971 89,914 44,957

More profiles

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