λ
Sigma Notebook

5,827,695

3 × 5 × 29 × 13397
Deficient Odd Composite

5,827,695 is odd and not a perfect square. Its factorization is 3 × 5 × 29 × 13397 and its 16 divisors sum to 9,646,560.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 13397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,646,560
Proper Divisor Sum 3,818,865
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5827691 ← → #5827697

Radix Representation

Decimal 5827695
Binary 10110001110110001101111 (23 bits)
Octal 0o26166157
Hexadecimal 0x58EC6F

Divisor Catalog (16)

1 3 5 15 29 87 145 435 13,397 40,191 66,985 200,955 388,513 1,165,539 1,942,565 5,827,695

Collatz Trajectory (214 steps to reach 1)

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

5,827,695 17,483,086 8,741,543 26,224,630 13,112,315 39,336,946 19,668,473 59,005,420 29,502,710 14,751,355 44,254,066 22,127,033 66,381,100 33,190,550 16,595,275 49,785,826 24,892,913 74,678,740 37,339,370 18,669,685 56,009,056 28,004,528 14,002,264 7,001,132 3,500,566 1,750,283 5,250,850 2,625,425 7,876,276 3,938,138 1,969,069 5,907,208 2,953,604 1,476,802 738,401 2,215,204 1,107,602 553,801 1,661,404 830,702 415,351 1,246,054 623,027 1,869,082 934,541 2,803,624 1,401,812 700,906 350,453 1,051,360 525,680 262,840 131,420 65,710 32,855 98,566 49,283 147,850 73,925 221,776

More profiles

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