7,082,007

3 × 47 × 50227

7,082,007 factors as 3 × 47 × 50227. Its 8 positive divisors give a proper-divisor sum of 2,561,769, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 47 × 50227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,643,776

Proper Divisor Sum 2,561,769

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7081973 ← → #7082011

Radix Representation

Decimal	7082007
Binary	11011000001000000010111 (23 bits)
Octal	0o33010027
Hexadecimal	0x6C1017

Divisor Catalog (8)

1 3 47 141 50,227 150,681 2,360,669 7,082,007

Collatz Trajectory (98 steps to reach 1)

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

7,082,007 21,246,022 10,623,011 31,869,034 15,934,517 47,803,552 23,901,776 11,950,888 5,975,444 2,987,722 1,493,861 4,481,584 2,240,792 1,120,396 560,198 280,099 840,298 420,149 1,260,448 630,224 315,112 157,556 78,778 39,389 118,168 59,084 29,542 14,771 44,314 22,157 66,472 33,236 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209

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