λ
Sigma Notebook

5,008,507

7 × 211 × 3391
Deficient Odd Composite

5,008,507 is odd and not a perfect square. Its factorization is 7 × 211 × 3391 and its 8 divisors sum to 5,752,832.

Prime Factor Structure

Factorization String 7 × 211 × 3391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,752,832
Proper Divisor Sum 744,325
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5008483 ← → #5008513

Radix Representation

Decimal 5008507
Binary 10011000110110001111011 (23 bits)
Octal 0o23066173
Hexadecimal 0x4C6C7B

Divisor Catalog (8)

1 7 211 1,477 3,391 23,737 715,501 5,008,507

Collatz Trajectory (162 steps to reach 1)

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

5,008,507 15,025,522 7,512,761 22,538,284 11,269,142 5,634,571 16,903,714 8,451,857 25,355,572 12,677,786 6,338,893 19,016,680 9,508,340 4,754,170 2,377,085 7,131,256 3,565,628 1,782,814 891,407 2,674,222 1,337,111 4,011,334 2,005,667 6,017,002 3,008,501 9,025,504 4,512,752 2,256,376 1,128,188 564,094 282,047 846,142 423,071 1,269,214 634,607 1,903,822 951,911 2,855,734 1,427,867 4,283,602 2,141,801 6,425,404 3,212,702 1,606,351 4,819,054 2,409,527 7,228,582 3,614,291 10,842,874 5,421,437 16,264,312 8,132,156 4,066,078 2,033,039 6,099,118 3,049,559 9,148,678 4,574,339 13,723,018 6,861,509

More profiles

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