λ
Sigma Notebook

3,411,767

31 × 157 × 701
Deficient Odd Composite

3,411,767 is odd and not a perfect square. Its factorization is 31 × 157 × 701 and its 8 divisors sum to 3,549,312.

Prime Factor Structure

Factorization String 31 × 157 × 701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,549,312
Proper Divisor Sum 137,545
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3411761 ← → #3411787

Radix Representation

Decimal 3411767
Binary 1101000000111100110111 (22 bits)
Octal 0o15007467
Hexadecimal 0x340F37

Divisor Catalog (8)

1 31 157 701 4,867 21,731 110,057 3,411,767

Collatz Trajectory (102 steps to reach 1)

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

3,411,767 10,235,302 5,117,651 15,352,954 7,676,477 23,029,432 11,514,716 5,757,358 2,878,679 8,636,038 4,318,019 12,954,058 6,477,029 19,431,088 9,715,544 4,857,772 2,428,886 1,214,443 3,643,330 1,821,665 5,464,996 2,732,498 1,366,249 4,098,748 2,049,374 1,024,687 3,074,062 1,537,031 4,611,094 2,305,547 6,916,642 3,458,321 10,374,964 5,187,482 2,593,741 7,781,224 3,890,612 1,945,306 972,653 2,917,960 1,458,980 729,490 364,745 1,094,236 547,118 273,559 820,678 410,339 1,231,018 615,509 1,846,528 923,264 461,632 230,816 115,408 57,704 28,852 14,426 7,213 21,640

More profiles

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