λ
Sigma Notebook

2,688,850

2 × 52 × 53777
Deficient Even Composite

2,688,850 is even and not a perfect square. Its factorization is 2 × 5^2 × 53777 and its 12 divisors sum to 5,001,354.

Prime Factor Structure

Factorization String 2 × 5^2 × 53777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,001,354
Proper Divisor Sum 2,312,504
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2688817 ← → #2688859

Radix Representation

Decimal 2688850
Binary 1010010000011101010010 (22 bits)
Octal 0o12203522
Hexadecimal 0x290752

Divisor Catalog (12)

1 2 5 10 25 50 53,777 107,554 268,885 537,770 1,344,425 2,688,850

Collatz Trajectory (200 steps to reach 1)

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

2,688,850 1,344,425 4,033,276 2,016,638 1,008,319 3,024,958 1,512,479 4,537,438 2,268,719 6,806,158 3,403,079 10,209,238 5,104,619 15,313,858 7,656,929 22,970,788 11,485,394 5,742,697 17,228,092 8,614,046 4,307,023 12,921,070 6,460,535 19,381,606 9,690,803 29,072,410 14,536,205 43,608,616 21,804,308 10,902,154 5,451,077 16,353,232 8,176,616 4,088,308 2,044,154 1,022,077 3,066,232 1,533,116 766,558 383,279 1,149,838 574,919 1,724,758 862,379 2,587,138 1,293,569 3,880,708 1,940,354 970,177 2,910,532 1,455,266 727,633 2,182,900 1,091,450 545,725 1,637,176 818,588 409,294 204,647 613,942

More profiles

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