λ
Integer Codex

2,636,457

3 × 31 × 28349
Deficient Odd Composite

For 2,636,457, the 8 positive divisors have a total of 3,628,800. Removing 2,636,457 leaves 992,343, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 31 × 28349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 992,343
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2636453 ← → #2636471

Radix Representation

Decimal 2636457
Binary 1010000011101010101001 (22 bits)
Octal 0o12035251
Hexadecimal 0x283AA9

Divisor Catalog (8)

1 3 31 93 28,349 85,047 878,819 2,636,457

Collatz Trajectory (200 steps to reach 1)

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

2,636,457 7,909,372 3,954,686 1,977,343 5,932,030 2,966,015 8,898,046 4,449,023 13,347,070 6,673,535 20,020,606 10,010,303 30,030,910 15,015,455 45,046,366 22,523,183 67,569,550 33,784,775 101,354,326 50,677,163 152,031,490 76,015,745 228,047,236 114,023,618 57,011,809 171,035,428 85,517,714 42,758,857 128,276,572 64,138,286 32,069,143 96,207,430 48,103,715 144,311,146 72,155,573 216,466,720 108,233,360 54,116,680 27,058,340 13,529,170 6,764,585 20,293,756 10,146,878 5,073,439 15,220,318 7,610,159 22,830,478 11,415,239 34,245,718 17,122,859 51,368,578 25,684,289 77,052,868 38,526,434 19,263,217 57,789,652 28,894,826 14,447,413 43,342,240 21,671,120

More profiles

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