λ
Sigma Notebook

5,393,311

7 × 11 × 89 × 787
Deficient Odd Composite

5,393,311 is odd and not a perfect square. Its factorization is 7 × 11 × 89 × 787 and its 16 divisors sum to 6,808,320.

Prime Factor Structure

Factorization String 7 × 11 × 89 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,808,320
Proper Divisor Sum 1,415,009
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5393291 ← → #5393317

Radix Representation

Decimal 5393311
Binary 10100100100101110011111 (23 bits)
Octal 0o24445637
Hexadecimal 0x524B9F

Divisor Catalog (16)

1 7 11 77 89 623 787 979 5,509 6,853 8,657 60,599 70,043 490,301 770,473 5,393,311

Collatz Trajectory (87 steps to reach 1)

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

5,393,311 16,179,934 8,089,967 24,269,902 12,134,951 36,404,854 18,202,427 54,607,282 27,303,641 81,910,924 40,955,462 20,477,731 61,433,194 30,716,597 92,149,792 46,074,896 23,037,448 11,518,724 5,759,362 2,879,681 8,639,044 4,319,522 2,159,761 6,479,284 3,239,642 1,619,821 4,859,464 2,429,732 1,214,866 607,433 1,822,300 911,150 455,575 1,366,726 683,363 2,050,090 1,025,045 3,075,136 1,537,568 768,784 384,392 192,196 96,098 48,049 144,148 72,074 36,037 108,112 54,056 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704

More profiles

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