λ
Sigma Notebook

4,054,335

3 × 5 × 31 × 8719
Deficient Odd Composite

4,054,335 is odd and not a perfect square. Its factorization is 3 × 5 × 31 × 8719 and its 16 divisors sum to 6,696,960.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 8719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,696,960
Proper Divisor Sum 2,642,625
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4054331 ← → #4054387

Radix Representation

Decimal 4054335
Binary 1111011101110100111111 (22 bits)
Octal 0o17356477
Hexadecimal 0x3DDD3F

Divisor Catalog (16)

1 3 5 15 31 93 155 465 8,719 26,157 43,595 130,785 270,289 810,867 1,351,445 4,054,335

Collatz Trajectory (273 steps to reach 1)

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

4,054,335 12,163,006 6,081,503 18,244,510 9,122,255 27,366,766 13,683,383 41,050,150 20,525,075 61,575,226 30,787,613 92,362,840 46,181,420 23,090,710 11,545,355 34,636,066 17,318,033 51,954,100 25,977,050 12,988,525 38,965,576 19,482,788 9,741,394 4,870,697 14,612,092 7,306,046 3,653,023 10,959,070 5,479,535 16,438,606 8,219,303 24,657,910 12,328,955 36,986,866 18,493,433 55,480,300 27,740,150 13,870,075 41,610,226 20,805,113 62,415,340 31,207,670 15,603,835 46,811,506 23,405,753 70,217,260 35,108,630 17,554,315 52,662,946 26,331,473 78,994,420 39,497,210 19,748,605 59,245,816 29,622,908 14,811,454 7,405,727 22,217,182 11,108,591 33,325,774

More profiles

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