λ
Sigma Notebook

2,757,388

22 × 31 × 37 × 601
Deficient Even Composite

2,757,388 is even and not a perfect square. Its factorization is 2^2 × 31 × 37 × 601 and its 24 divisors sum to 5,124,224.

Prime Factor Structure

Factorization String 2^2 × 31 × 37 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,124,224
Proper Divisor Sum 2,366,836
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2757379 ← → #2757397

Radix Representation

Decimal 2757388
Binary 1010100001001100001100 (22 bits)
Octal 0o12411414
Hexadecimal 0x2A130C

Divisor Catalog (24)

1 2 4 31 37 62 74 124 148 601 1,147 1,202 2,294 2,404 4,588 18,631 22,237 37,262 44,474 74,524 88,948 689,347 1,378,694 2,757,388

Collatz Trajectory (213 steps to reach 1)

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

2,757,388 1,378,694 689,347 2,068,042 1,034,021 3,102,064 1,551,032 775,516 387,758 193,879 581,638 290,819 872,458 436,229 1,308,688 654,344 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956

More profiles

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