7,167,316

2² × 13 × 337 × 409

7,167,316 has the prime decomposition 2^2 × 13 × 337 × 409. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 337 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,580,840

Proper Divisor Sum 6,413,524

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7167301 ← → #7167323

Radix Representation

Decimal	7167316
Binary	11011010101110101010100 (23 bits)
Octal	0o33256524
Hexadecimal	0x6D5D54

Divisor Catalog (24)

1 2 4 13 26 52 337 409 674 818 1,348 1,636 4,381 5,317 8,762 10,634 17,524 21,268 137,833 275,666 551,332 1,791,829 3,583,658 7,167,316

Collatz Trajectory (142 steps to reach 1)

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

7,167,316 3,583,658 1,791,829 5,375,488 2,687,744 1,343,872 671,936 335,968 167,984 83,992 41,996 20,998 10,499 31,498 15,749 47,248 23,624 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502

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