7,516,401

3 × 397 × 6311

7,516,401 factors as 3 × 397 × 6311. Its 8 positive divisors give a proper-divisor sum of 2,532,303, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 397 × 6311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,048,704

Proper Divisor Sum 2,532,303

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7516393 ← → #7516409

Radix Representation

Decimal	7516401
Binary	11100101011000011110001 (23 bits)
Octal	0o34530361
Hexadecimal	0x72B0F1

Divisor Catalog (8)

1 3 397 1,191 6,311 18,933 2,505,467 7,516,401

Collatz Trajectory (204 steps to reach 1)

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

7,516,401 22,549,204 11,274,602 5,637,301 16,911,904 8,455,952 4,227,976 2,113,988 1,056,994 528,497 1,585,492 792,746 396,373 1,189,120 594,560 297,280 148,640 74,320 37,160 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749

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