λ
Sigma Notebook

3,915,567

33 × 145021
Deficient Odd Composite

3,915,567 is odd and not a perfect square. Its factorization is 3^3 × 145021 and its 8 divisors sum to 5,800,880.

Prime Factor Structure

Factorization String 3^3 × 145021
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,800,880
Proper Divisor Sum 1,885,313
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3915557 ← → #3915601

Radix Representation

Decimal 3915567
Binary 1110111011111100101111 (22 bits)
Octal 0o16737457
Hexadecimal 0x3BBF2F

Divisor Catalog (8)

1 3 9 27 145,021 435,063 1,305,189 3,915,567

Collatz Trajectory (247 steps to reach 1)

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

3,915,567 11,746,702 5,873,351 17,620,054 8,810,027 26,430,082 13,215,041 39,645,124 19,822,562 9,911,281 29,733,844 14,866,922 7,433,461 22,300,384 11,150,192 5,575,096 2,787,548 1,393,774 696,887 2,090,662 1,045,331 3,135,994 1,567,997 4,703,992 2,351,996 1,175,998 587,999 1,763,998 881,999 2,645,998 1,322,999 3,968,998 1,984,499 5,953,498 2,976,749 8,930,248 4,465,124 2,232,562 1,116,281 3,348,844 1,674,422 837,211 2,511,634 1,255,817 3,767,452 1,883,726 941,863 2,825,590 1,412,795 4,238,386 2,119,193 6,357,580 3,178,790 1,589,395 4,768,186 2,384,093 7,152,280 3,576,140 1,788,070 894,035

More profiles

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