λ
Sigma Notebook

7,983,490

2 × 5 × 37 × 21577
Deficient Even Composite

7,983,490 is even and not a perfect square. Its factorization is 2 × 5 × 37 × 21577 and its 16 divisors sum to 14,759,352.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 21577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,759,352
Proper Divisor Sum 6,775,862
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7983473 ← → #7983511

Radix Representation

Decimal 7983490
Binary 11110011101000110000010 (23 bits)
Octal 0o36350602
Hexadecimal 0x79D182

Divisor Catalog (16)

1 2 5 10 37 74 185 370 21,577 43,154 107,885 215,770 798,349 1,596,698 3,991,745 7,983,490

Collatz Trajectory (116 steps to reach 1)

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

7,983,490 3,991,745 11,975,236 5,987,618 2,993,809 8,981,428 4,490,714 2,245,357 6,736,072 3,368,036 1,684,018 842,009 2,526,028 1,263,014 631,507 1,894,522 947,261 2,841,784 1,420,892 710,446 355,223 1,065,670 532,835 1,598,506 799,253 2,397,760 1,198,880 599,440 299,720 149,860 74,930 37,465 112,396 56,198 28,099 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441

More profiles

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