λ
Sigma Notebook

9,977,011

11 × 17 × 53353
Deficient Odd Composite

9,977,011 is odd and not a perfect square. Its factorization is 11 × 17 × 53353 and its 8 divisors sum to 11,524,464.

Prime Factor Structure

Factorization String 11 × 17 × 53353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,524,464
Proper Divisor Sum 1,547,453
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9976937 ← → #9977021

Radix Representation

Decimal 9977011
Binary 100110000011110010110011 (24 bits)
Octal 0o46036263
Hexadecimal 0x983CB3

Divisor Catalog (8)

1 11 17 187 53,353 586,883 907,001 9,977,011

Collatz Trajectory (137 steps to reach 1)

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

9,977,011 29,931,034 14,965,517 44,896,552 22,448,276 11,224,138 5,612,069 16,836,208 8,418,104 4,209,052 2,104,526 1,052,263 3,156,790 1,578,395 4,735,186 2,367,593 7,102,780 3,551,390 1,775,695 5,327,086 2,663,543 7,990,630 3,995,315 11,985,946 5,992,973 17,978,920 8,989,460 4,494,730 2,247,365 6,742,096 3,371,048 1,685,524 842,762 421,381 1,264,144 632,072 316,036 158,018 79,009 237,028 118,514 59,257 177,772 88,886 44,443 133,330 66,665 199,996 99,998 49,999 149,998 74,999 224,998 112,499 337,498 168,749 506,248 253,124 126,562 63,281

More profiles

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