7,983,482

2 × 13 × 199 × 1543

Starting at 7,983,482, the Collatz iteration reaches 1 after 80 steps. The first transition is 3991741; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 199 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,969,600

Proper Divisor Sum 4,986,118

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7983473 ← → #7983511

Radix Representation

Decimal	7983482
Binary	11110011101000101111010 (23 bits)
Octal	0o36350572
Hexadecimal	0x79D17A

Divisor Catalog (16)

1 2 13 26 199 398 1,543 2,587 3,086 5,174 20,059 40,118 307,057 614,114 3,991,741 7,983,482

Collatz Trajectory (80 steps to reach 1)

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

7,983,482 3,991,741 11,975,224 5,987,612 2,993,806 1,496,903 4,490,710 2,245,355 6,736,066 3,368,033 10,104,100 5,052,050 2,526,025 7,578,076 3,789,038 1,894,519 5,683,558 2,841,779 8,525,338 4,262,669 12,788,008 6,394,004 3,197,002 1,598,501 4,795,504 2,397,752 1,198,876 599,438 299,719 899,158 449,579 1,348,738 674,369 2,023,108 1,011,554 505,777 1,517,332 758,666 379,333 1,138,000 569,000 284,500 142,250 71,125 213,376 106,688 53,344 26,672 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408

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