λ
Sigma Notebook

8,137,377

32 × 19 × 23 × 2069
Deficient Odd Composite

8,137,377 is odd and not a perfect square. Its factorization is 3^2 × 19 × 23 × 2069 and its 24 divisors sum to 12,916,800.

Prime Factor Structure

Factorization String 3^2 × 19 × 23 × 2069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,916,800
Proper Divisor Sum 4,779,423
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8137361 ← → #8137379

Radix Representation

Decimal 8137377
Binary 11111000010101010100001 (23 bits)
Octal 0o37025241
Hexadecimal 0x7C2AA1

Divisor Catalog (24)

1 3 9 19 23 57 69 171 207 437 1,311 2,069 3,933 6,207 18,621 39,311 47,587 117,933 142,761 353,799 428,283 904,153 2,712,459 8,137,377

Collatz Trajectory (248 steps to reach 1)

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

8,137,377 24,412,132 12,206,066 6,103,033 18,309,100 9,154,550 4,577,275 13,731,826 6,865,913 20,597,740 10,298,870 5,149,435 15,448,306 7,724,153 23,172,460 11,586,230 5,793,115 17,379,346 8,689,673 26,069,020 13,034,510 6,517,255 19,551,766 9,775,883 29,327,650 14,663,825 43,991,476 21,995,738 10,997,869 32,993,608 16,496,804 8,248,402 4,124,201 12,372,604 6,186,302 3,093,151 9,279,454 4,639,727 13,919,182 6,959,591 20,878,774 10,439,387 31,318,162 15,659,081 46,977,244 23,488,622 11,744,311 35,232,934 17,616,467 52,849,402 26,424,701 79,274,104 39,637,052 19,818,526 9,909,263 29,727,790 14,863,895 44,591,686 22,295,843 66,887,530

More profiles

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