λ
Sigma Notebook

2,556,272

24 × 197 × 811
Deficient Even Composite

2,556,272 is even and not a perfect square. Its factorization is 2^4 × 197 × 811 and its 20 divisors sum to 4,984,056.

Prime Factor Structure

Factorization String 2^4 × 197 × 811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,984,056
Proper Divisor Sum 2,427,784
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2556259 ← → #2556277

Radix Representation

Decimal 2556272
Binary 1001110000000101110000 (22 bits)
Octal 0o11600560
Hexadecimal 0x270170

Divisor Catalog (20)

1 2 4 8 16 197 394 788 811 1,576 1,622 3,152 3,244 6,488 12,976 159,767 319,534 639,068 1,278,136 2,556,272

Collatz Trajectory (218 steps to reach 1)

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

2,556,272 1,278,136 639,068 319,534 159,767 479,302 239,651 718,954 359,477 1,078,432 539,216 269,608 134,804 67,402 33,701 101,104 50,552 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220

More profiles

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