7,382,001

3 × 11 × 223697

7,382,001 factors as 3 × 11 × 223697. Its 8 positive divisors give a proper-divisor sum of 3,355,503, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 11 × 223697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,737,504

Proper Divisor Sum 3,355,503

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7381967 ← → #7382003

Radix Representation

Decimal	7382001
Binary	11100001010001111110001 (23 bits)
Octal	0o34121761
Hexadecimal	0x70A3F1

Divisor Catalog (8)

1 3 11 33 223,697 671,091 2,460,667 7,382,001

Collatz Trajectory (204 steps to reach 1)

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

7,382,001 22,146,004 11,073,002 5,536,501 16,609,504 8,304,752 4,152,376 2,076,188 1,038,094 519,047 1,557,142 778,571 2,335,714 1,167,857 3,503,572 1,751,786 875,893 2,627,680 1,313,840 656,920 328,460 164,230 82,115 246,346 123,173 369,520 184,760 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649 280,948

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